Math Homework Answers - Recent questions and answers in Geometry Answers
https://www.mathhomeworkanswers.org/qa/geometry-answers
Powered by Question2AnswerAnswered: Which of the following equations is the line perpendicular to 4y-7x=5?
https://www.mathhomeworkanswers.org/248430/which-the-following-equations-the-line-perpendicular-4y-7x?show=248475#a248475
<p style="text-align: justify;">Find the slopes by making y the subject of each equation then use the x coefficient as the slope.
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a) 7/4
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b) -4/7
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c) 4/7
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d) -4/7
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The equation 4y-7x=5, y=7x/4+5/4 has slope 7/4 so its perpendicular has to be -4/7, so the answer would appear to be b and d.</p>Geometry Answershttps://www.mathhomeworkanswers.org/248430/which-the-following-equations-the-line-perpendicular-4y-7x?show=248475#a248475Thu, 23 Nov 2017 21:20:49 +0000Answered: Which of the following equations is the line perpendicular to 2x-3y=9?
https://www.mathhomeworkanswers.org/248431/which-the-following-equations-the-line-perpendicular-2x-3y?show=248473#a248473
<p style="text-align: justify;">First we work out the slopes of each line:
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a) 2/3
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b) 3/2
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c) -3/2
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d) -2/3
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slope of the original line is 2/3. By definition of perpendicular the product of the slopes must be -1 so the slope of the perpendicular has to be -3/2, which is equation c.</p>Geometry Answershttps://www.mathhomeworkanswers.org/248431/which-the-following-equations-the-line-perpendicular-2x-3y?show=248473#a248473Thu, 23 Nov 2017 21:13:48 +0000What is the slope of the line through (-1,-2) and (x,y) for y=x^2+x-2 and x=-0.98?
https://www.mathhomeworkanswers.org/248426/what-is-the-slope-of-the-line-through-1-2-and-x-y-for-y-x-2-and-x-0-98
Round off answer to 2 decimal points if possible.THanks!Geometry Answershttps://www.mathhomeworkanswers.org/248426/what-is-the-slope-of-the-line-through-1-2-and-x-y-for-y-x-2-and-x-0-98Wed, 22 Nov 2017 06:55:06 +0000Answered: help two column proof.
https://www.mathhomeworkanswers.org/3189/help-two-column-proof?show=248402#a248402
x-2=3(x-4) x-2=3x-12 12-2 = 3x-x 10 = 2x x=10/2 <br />
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x=5Geometry Answershttps://www.mathhomeworkanswers.org/3189/help-two-column-proof?show=248402#a248402Tue, 21 Nov 2017 19:00:40 +0000Answered: how to solve 8-1/3x-16
https://www.mathhomeworkanswers.org/1259/how-to-solve-8-1-3x-16?show=248399#a248399
8-1/3x-16 = 0 multiplying by 3x both sides we get: 24x-1-48x = 0 ->>> -24x-1=0 ->>> 24x+1=0<br />
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24x = -1 x=-1/24Geometry Answershttps://www.mathhomeworkanswers.org/1259/how-to-solve-8-1-3x-16?show=248399#a248399Tue, 21 Nov 2017 18:10:23 +0000Answered: there is a rectangular structure that is 12 feet long, 10 feet wide, and 5 feet high. The floor and 4 walls are all one foot thick. How many blocks are used to make the structure?
https://www.mathhomeworkanswers.org/247222/there-rectangular-structure-floor-walls-blocks-structure?show=248189#a248189
the floor area of the structure is 10 x 12 = 120 sq feet<br />
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the two walls will be. 5 x 12 x 2 = 120 sq feet<br />
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the other two walls will be 5 x 10 x 2. = 100 sq feet<br />
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so the whole area of the structure will be 120 + 120 + 100 =. 340 sq feet<br />
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since we use cubical blocks of 1 feet we will need 340 blocksGeometry Answershttps://www.mathhomeworkanswers.org/247222/there-rectangular-structure-floor-walls-blocks-structure?show=248189#a248189Thu, 16 Nov 2017 16:05:39 +0000Answered: Find the perimeter of rectangle 2004-06-02-01-00_files/i0250000.jpg, whose vertices are Q(–2, 2), R(1, 0), S(0, –1), and T(–3, 1
https://www.mathhomeworkanswers.org/248105/perimeter-rectangle-2004-00_files-i0250000-whose-vertices?show=248139#a248139
<p style="text-align: justify;">The lengths of the 4 sides are: ST=QR=√(4+9)=√13, so TQ=RS=√(1+1)=√2.
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Perimeter=2√2+2√13=10.04 approx.</p>
<p style="text-align: justify;">The figure is a parallelogram.</p>Geometry Answershttps://www.mathhomeworkanswers.org/248105/perimeter-rectangle-2004-00_files-i0250000-whose-vertices?show=248139#a248139Wed, 15 Nov 2017 16:25:08 +0000Answered: find the distance fro each pair of parallel lines with the given equations
https://www.mathhomeworkanswers.org/247584/find-distance-each-pair-parallel-lines-with-given-equations?show=247701#a247701
<p style="text-align:justify">y=¼x+2 and 4y-x=-60.
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Rewrite these as 4y-x=2 and 4y-x=-60. It’s clear the lines are parallel.
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A common perpendicular is given by negating and inverting the slope. The slope is 1/4 so the slope of the perpendicular is -4. The general equation of the perpendicular is y=-4x+c where c is a constant.
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If we pick a point on one of the parallel lines we can make the perpendicular pass through the point. Let’s pick (0,2) on the first line, so this must also be on the perpendicular: 2=c so the perpendicular has the equation y=2-4x. The perpendicular meets the second line when 4(2-4x)-x=-60.
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8-17x=-60, 17x=68, x=4 so 4y=x-60=-56 and y=-14.
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We have two points now (0,2) and (4,-14). Using Pythagoras we can find the length of the line joining the points:
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√(4²+(-14-2)²)=√(16+256)=√272=4√17=16.4924 approx.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=15379662740640067266" style="height:287px; width:400px"></p>Geometry Answershttps://www.mathhomeworkanswers.org/247584/find-distance-each-pair-parallel-lines-with-given-equations?show=247701#a247701Mon, 06 Nov 2017 01:03:27 +0000Answered: IN which quadrant would the image of point (5,-3) fall after a dilation using a factor of -3
https://www.mathhomeworkanswers.org/247570/which-quadrant-would-image-point-after-dilation-using-factor?show=247698#a247698
(5,-3) is in Q4. Apply dilation of -3: (-15,9) which is in Q2.Geometry Answershttps://www.mathhomeworkanswers.org/247570/which-quadrant-would-image-point-after-dilation-using-factor?show=247698#a247698Mon, 06 Nov 2017 00:04:55 +0000613=6eh+5.196152e^2
https://www.mathhomeworkanswers.org/247682/613-6eh-5-196152e-2
Surface area of a hexagonal prism is 613 mm^2. Find the dimensions (h is height, e is edge length).Geometry Answershttps://www.mathhomeworkanswers.org/247682/613-6eh-5-196152e-2Sun, 05 Nov 2017 19:51:11 +0000Answered: (5x-y)a-(3x+5y)a
https://www.mathhomeworkanswers.org/229919/5x-y-a-3x-5y-a?show=247669#a247669
(5x-y)a-(3x+5y)a. Expand it will be 5xa-ya-3xa-5ya than collect like term together 2xa-6ya find the common factor that is 2a than factorise your will be 2a(x-3y)Geometry Answershttps://www.mathhomeworkanswers.org/229919/5x-y-a-3x-5y-a?show=247669#a247669Sun, 05 Nov 2017 07:22:51 +0000ad =1 and dc=1 ,ab=bc =ac polygon, angle A=105 degrees angle D is right angle, whats area?
https://www.mathhomeworkanswers.org/247566/and-polygon-angle-105-degrees-angle-is-right-angle-whats-area
ad =1 and dc=1 ,ab=bc =ac polygon, angle A=105 degrees angle D is right angle, whats area?Geometry Answershttps://www.mathhomeworkanswers.org/247566/and-polygon-angle-105-degrees-angle-is-right-angle-whats-areaThu, 02 Nov 2017 21:06:36 +0000Answered: A right triangle is formed by the x-axis, the y-axis and the line y=-2x+5. Find the hypotenuse
https://www.mathhomeworkanswers.org/247523/right-triangle-formed-the-axis-axis-the-line-find-hypotenuse?show=247524#a247524
Your answer will be 21!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Geometry Answershttps://www.mathhomeworkanswers.org/247523/right-triangle-formed-the-axis-axis-the-line-find-hypotenuse?show=247524#a247524Wed, 01 Nov 2017 23:49:03 +0000What are the coordinates of vertex F" of ΔF"G"H"?
https://www.mathhomeworkanswers.org/247410/what-are-the-coordinates-of-vertex-f-of-%CE%B4f-g-h
im having a hard time at math i need some extra helpGeometry Answershttps://www.mathhomeworkanswers.org/247410/what-are-the-coordinates-of-vertex-f-of-%CE%B4f-g-hMon, 30 Oct 2017 13:37:01 +0000If square ABCD is defined by the coordinates A(0, 0), B(0, -5), C(-5, -5), D(-5, 0) is dilated by a scale factor of 2, with resulting vertex A' at (5, 5). What is the center of the dilation?
https://www.mathhomeworkanswers.org/247400/defined-coordinates-dilated-factor-resulting-center-dilation
A. (0,0)<br />
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B. (5,5)<br />
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C. (-5,0)<br />
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D. (-5,-5)Geometry Answershttps://www.mathhomeworkanswers.org/247400/defined-coordinates-dilated-factor-resulting-center-dilationMon, 30 Oct 2017 04:54:35 +0000Answered: What percent of the box’s volume is empty? If water is poured into the box around the balls, how many ounces to the nearest 0.1 oz will it take to fill the empty space?
https://www.mathhomeworkanswers.org/247296/percent-volume-water-poured-around-ounces-nearest-empty-space?show=247301#a247301
<p style="text-align:justify">The dimensions of the box are 6×6×18 because the box has to be a ball’s diameter (6cm) in width. The area of the square base is therefore 36sq cm. The 3 balls must stack so the length must be 3 ball diameters=18cm. Volume of box=648cc.
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Volume of one ball is ⁴⁄₃πr³, where r=6/2=3cm. Volume is 36πcc. Total volume of balls=108π. Volume of unfilled space=648-108π. Percentage of unfilled space=(648-108π)/648×100=(1-π/6)×100=47.64% approx.
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Volume of empty space is 648-108π=308.71cc approx=308.71g because water has a density of 1 g/cc.
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16oz=1lb=453.5g approx, so 308.71g=16×308.71/453.5=10.89oz, 10.9oz to 1 dec place.</p>Geometry Answershttps://www.mathhomeworkanswers.org/247296/percent-volume-water-poured-around-ounces-nearest-empty-space?show=247301#a247301Fri, 27 Oct 2017 19:12:39 +0000Answered: Find missing angles of a quadrilateral?
https://www.mathhomeworkanswers.org/247247/find-missing-angles-of-a-quadrilateral?show=247284#a247284
Call one of the other 2 angles 2x, then the remaining angle is 11x.<br />
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11x+2x+3.3+312.5=360, 13x=360-315.8=44.2, x=44.2/13=3.4.<br />
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The other angles are 6.8 and 37.4 degrees.Geometry Answershttps://www.mathhomeworkanswers.org/247247/find-missing-angles-of-a-quadrilateral?show=247284#a247284Fri, 27 Oct 2017 12:59:47 +0000Answered: Which lines are parallel if m∠1+m∠2=180? Justify your answer.
https://www.mathhomeworkanswers.org/220420/which-lines-are-parallel-if-m%E2%88%A01-m%E2%88%A02-180-justify-your-answer?show=247213#a247213
the answer is a - look up the theoremsGeometry Answershttps://www.mathhomeworkanswers.org/220420/which-lines-are-parallel-if-m%E2%88%A01-m%E2%88%A02-180-justify-your-answer?show=247213#a247213Wed, 25 Oct 2017 20:25:37 +0000Answered: 1/2 x 3.125 x1.5
https://www.mathhomeworkanswers.org/247143/1-2-x-3-125-x1-5?show=247210#a247210
1/2 *3.125 *1.5<br />
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=(1/2 ) * (3125/1000 ) * (15/10)<br />
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=(1*3125*15) / (2*1000*10)<br />
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=46875 / 20000<br />
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=2.34375Geometry Answershttps://www.mathhomeworkanswers.org/247143/1-2-x-3-125-x1-5?show=247210#a247210Wed, 25 Oct 2017 19:11:42 +0000So, for example 27% mean
https://www.mathhomeworkanswers.org/247124/so-for-example-27%25-mean
What is the answerGeometry Answershttps://www.mathhomeworkanswers.org/247124/so-for-example-27%25-meanTue, 24 Oct 2017 00:02:40 +0000Answered: 7y+3+3y-5+9y+7
https://www.mathhomeworkanswers.org/247071/7y-3-3y-5-9y-7?show=247091#a247091
There is too many variables to solve. You only do a couple at a time.Geometry Answershttps://www.mathhomeworkanswers.org/247071/7y-3-3y-5-9y-7?show=247091#a247091Mon, 23 Oct 2017 12:10:55 +0000A line segment BK is an angle bisector of ΔABC. A line KM intersects side BC such, that BM = MK. Prove: KM ∥ AB .
https://www.mathhomeworkanswers.org/247073/segment-angle-bisector-%CE%B4abc-intersects-side-such-that-prove
A line segment<br />
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BK<br />
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is an angle bisector of ΔABC. A line<br />
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KM<br />
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intersects side<br />
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BC<br />
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such, that<br />
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BM = MK. Prove:<br />
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KM<br />
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∥<br />
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AB<br />
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.Geometry Answershttps://www.mathhomeworkanswers.org/247073/segment-angle-bisector-%CE%B4abc-intersects-side-such-that-proveMon, 23 Oct 2017 00:59:16 +0000Construct an isosceles triangle ABC in which AB=BC=5.5 cm and angle B=150°.
https://www.mathhomeworkanswers.org/246972/construct-isosceles-triangle-abc-which-ab-cm-and-angle-150%C2%B0
Construction of isosceles triangleGeometry Answershttps://www.mathhomeworkanswers.org/246972/construct-isosceles-triangle-abc-which-ab-cm-and-angle-150%C2%B0Fri, 20 Oct 2017 05:13:55 +0000Sam is placing rope lights around the edge of a circular patio with a diameter of 18 ft lights come in length of 54 in how many strands of Lights does he need to surround the patio Edge?
https://www.mathhomeworkanswers.org/246869/placing-circular-diameter-length-strands-lights-surround
It is dealing with a circle and circumferenceGeometry Answershttps://www.mathhomeworkanswers.org/246869/placing-circular-diameter-length-strands-lights-surroundTue, 17 Oct 2017 23:37:26 +0000Answered: the question will be in text below, cant fit
https://www.mathhomeworkanswers.org/246648/the-question-will-be-in-text-below-cant-fit?show=246695#a246695
We can relate the attendance to the ticket price as a=mx+c where m and c are to be found.<br />
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When x=10 a=30000 and when x=9 a=33000.<br />
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Plugging these values in we get 30000=10x+c and 33000=9x+c, so if we subtract these two equations from one another we eliminate c: x=-3000. Now we can calculate c: 30000=-30000+c, so c=60000 and a=60000-3000x. We have related attendance to the ticket price.<br />
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R(x)=ax.<br />
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Now we can relate the revenue to the ticket price: (a) R(x)=60000x-3000x².<br />
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(b) R(x)=-3000(x²-20x+100-100)=-3000(x-10)²+300000. When x=$10 R(x) is maximum.<br />
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(c) R(x)=0 when 3000x=60000, so x=$20 (and attendance is zero).Geometry Answershttps://www.mathhomeworkanswers.org/246648/the-question-will-be-in-text-below-cant-fit?show=246695#a246695Fri, 13 Oct 2017 16:58:46 +0000Answered: Ray MN Bisects angle RMT. If angle RMN =8x-19 and angle NMT= 2x+17, How much is each angle worth
https://www.mathhomeworkanswers.org/246684/bisects-angle-angle-rmn-and-angle-nmt-how-much-each-angle-worth?show=246689#a246689
<p style="text-align: justify;">The two angles RMN and NMT are equal because the bisector MN cuts the angle RMT in half.
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So 8x-19=2x+17, 8x-2x=17+19, 6x=36, so x=6. Therefore each angle must be 29°.
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2x+17=2×6+17=12+17=29; 8x-19=8×6-19=48-19=29. Angle RMT is 58°.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246684/bisects-angle-angle-rmn-and-angle-nmt-how-much-each-angle-worth?show=246689#a246689Fri, 13 Oct 2017 15:35:11 +0000Answered: Luis shoe box is 14in long. He places pinhole p in the center of the front which is 7 1/2in x 5 1/8in. If he needs to leave a half inch border on the film, what is the largest image he can make?
https://www.mathhomeworkanswers.org/246631/places-pinhole-center-front-which-needs-leave-border-largest?show=246655#a246655
<p style="text-align: justify;">The length of the box doesn’t seem to be relevant, because it’s the size of the image that matters, not the object being photographed. The half-inch border reduces the dimensions of the end of the box by an inch. So the largest image is 6½” by 4⅛” (26.8125 sq in).</p>Geometry Answershttps://www.mathhomeworkanswers.org/246631/places-pinhole-center-front-which-needs-leave-border-largest?show=246655#a246655Thu, 12 Oct 2017 11:35:56 +0000Answered: the problem will be in the text below, cant fit up here
https://www.mathhomeworkanswers.org/246647/the-problem-will-be-in-the-text-below-cant-fit-up-here?show=246652#a246652
<p style="text-align:justify">Let t be the ticket price and a be the attendance.
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We can relate the attendance to the ticket price as a=mt+c where m and c are to be found.
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When t=10 a=30000 and when t=9 a=33000.
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Plugging these values in we get 30000=10t+c and 33000=9t+c, so if we subtract these two equations from one another we eliminate c: t=-3000. Now we can calculate c: 30000=-30000+c, so c=60000 and a=60000-3000t. We have related attendance to the ticket price.
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Let r be the revenue from ticket sales, so r=at.
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Now we can relate the revenue to the ticket price: r=60000t-3000t².
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The maximum value of a is 56000 so we can determine the ticket price for maximum attendance:
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56000=60000-3000t, 3000t=4000, so t=4/3=$1.33. We have to choose t>1.33 because at $1 per ticket we exceed the capacity, but at $2 per ticket we increase the attendance to 54,000 using the formula for a.
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But we decrease the revenue because r=at=54000×2=$108,000.
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We get the same answer if we put t=2 into the r equation: 120000-12000=$108,000.
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This is assuming I correctly anticipated your question.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246647/the-problem-will-be-in-the-text-below-cant-fit-up-here?show=246652#a246652Thu, 12 Oct 2017 11:06:36 +0000Answered: Construct the following traingles
https://www.mathhomeworkanswers.org/246558/construct-the-following-traingles?show=246560#a246560
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=1404292501187199283" style="height:311px; width:500px"></p>
<p style="text-align:justify">The diagram illustrates the construction of the figures for all three questions.</p>
<p style="text-align:justify">The colours aid in the descriptions below. Mark C as the intersection of the two circles.</p>
<p style="text-align:justify">Q1.</p>
<p style="text-align:justify">Draw a (red dotted) circle centre A and draw an extended diameter where black B to green B is the diameter.</p>
<p style="text-align:justify">With centre at green B draw a second (red dotted) circle of the same size. Join C to black B and A. This is the required triangle. Draw the same size circle with centre green B.</p>
<p style="text-align:justify">Q2.</p>
<p style="text-align:justify">With centre at black B and radius beyond A draw a (blue dotted) circle. With centre at green B draw another (blue dotted) circle which intersects the other circle. Draw a line from the intersection cutting through red BC at blue C. This gives us the right triangle formed by A, B and blue C.</p>
<p style="text-align:justify">Q3.</p>
<p style="text-align:justify">Join red C to A and green B. The green triangle is the required one.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246558/construct-the-following-traingles?show=246560#a246560Tue, 10 Oct 2017 16:05:10 +0000Answered: If RS =23-2x, ST=9x-5, and RT = 39, find RS
https://www.mathhomeworkanswers.org/246557/if-rs-23-2x-st-9x-5-and-rt-39-find-rs?show=246559#a246559
Assuming R, S and T are collinear, RS+SR=RT, so 23-2x+9x-5=39.<br />
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7x+18=39, 7x=21 and x=3. RS=23-2x=17.Geometry Answershttps://www.mathhomeworkanswers.org/246557/if-rs-23-2x-st-9x-5-and-rt-39-find-rs?show=246559#a246559Tue, 10 Oct 2017 15:24:22 +0000Answered: write equation of each line in slope intercept form(-6, 2), (3,6)
https://www.mathhomeworkanswers.org/11601/write-equation-of-each-line-in-slope-intercept-form-6-2-3-6?show=246497#a246497
Write an equation in slope-intercept form <br />
<br />
The line passes through (6,-5) and is parallel to the line whose equation is y=4x+4Geometry Answershttps://www.mathhomeworkanswers.org/11601/write-equation-of-each-line-in-slope-intercept-form-6-2-3-6?show=246497#a246497Sun, 08 Oct 2017 16:15:27 +0000Answered: In a triangle ABC, angle B= 55° and angle C=65°. Is the triangle ABC isosceles?
https://www.mathhomeworkanswers.org/246487/triangle-abc-angle-and-angle-65%C2%B0-the-triangle-abc-isosceles?show=246491#a246491
<p style="text-align: justify;">The third angle is 180-55-65=60 degrees. No two angles are equal so the triangle is scalene, not isosceles.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246487/triangle-abc-angle-and-angle-65%C2%B0-the-triangle-abc-isosceles?show=246491#a246491Sun, 08 Oct 2017 12:15:06 +0000Answered: what is the midpoint of (1,6) and (-7,3)
https://www.mathhomeworkanswers.org/246432/what-is-the-midpoint-of-1-6-and-7-3?show=246447#a246447
Midpoint is average of coords: ((1-7)/2, (6+3)/2) = (-3,4.5).Geometry Answershttps://www.mathhomeworkanswers.org/246432/what-is-the-midpoint-of-1-6-and-7-3?show=246447#a246447Fri, 06 Oct 2017 16:21:02 +0000Answered: Find the value of x for which l is parallel to m.
https://www.mathhomeworkanswers.org/246382/find-the-value-of-x-for-which-l-is-parallel-to-m?show=246402#a246402
<p style="text-align: justify;">There is no picture to accompany this question so the following is submitted tentatively.</p>
<p style="text-align: justify;"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=17523985512359052422" style="height:269px; width:400px"></p>
<p style="text-align: justify;">If the lines L and M are parallel, the angles 19x and 17x will be supplementary so:</p>
<p style="text-align: justify;">19x=180-17x</p>
<p style="text-align: justify;">36x=180 and x=5.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246382/find-the-value-of-x-for-which-l-is-parallel-to-m?show=246402#a246402Thu, 05 Oct 2017 17:14:56 +0000Answered: (-1,4) and -2x+3y=21
https://www.mathhomeworkanswers.org/246357/1-4-and-2x-3y-21?show=246360#a246360
<p style="text-align:justify">Assuming this is meant to be the shortest distance between a point and a line, we need to find where the perpendicular from the point on to the line meets the line.</p>
<p style="text-align:justify">y=2x/3+7 is the rewritten form of the line. The perpendicular has a slope of -3/2 (negative inverse of the line's slope) and equation y-4=-(3/2)(x+1); so 2x/3+7-4=-3x/2-3/2.</p>
<p style="text-align:justify">That is 2x/3+3+3x/2+3/2=0. Multiply through by 6: 4x+18+9x+9=0.</p>
<p style="text-align:justify">13x+27=0, x=-27/13 and y=-18/13+7=73/13. The perpendicular from (-1,4) meets the line at (-27/13,73/13).</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=16643103230770097604" style="height:291px; width:450px"></p>
<p style="text-align:justify"> </p>
<p style="text-align:justify">By Pythagoras, the distance between the points is <span style="color:rgb(69, 69, 69); font-family:uictfonttextstylebody; font-size:17px">√</span>((-27/13+1)^2+(73/13-4)^2)=7<span style="color:rgb(69, 69, 69); font-family:uictfonttextstylebody; font-size:17px">√</span>13/13=1.94145 approx.</p>
<p style="text-align:justify">The question contains no explicit details so this is offered as a solution to a hypothetical question based on the given information.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246357/1-4-and-2x-3y-21?show=246360#a246360Wed, 04 Oct 2017 15:43:13 +0000Answered: You are 20 feet north and 15 feet east of your house. Your friend is 25 feet east and 10 feet north of your house. To the nearest tenth of a foot, how far apart are you and your friend?
https://www.mathhomeworkanswers.org/246092/feet-north-house-friend-north-house-nearest-tenth-apart-friend?show=246113#a246113
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=14879869656484740714" style="height:315px; width:400px"></p>
<p style="text-align:justify">From the picture the legs of the right triangle are 10 feet in length. Therefore, using Pythagoras' theorem, the shortest distance between you and your friend is square root of 100+100=square root of 200=14.1 ft approx.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246092/feet-north-house-friend-north-house-nearest-tenth-apart-friend?show=246113#a246113Thu, 28 Sep 2017 15:03:03 +0000Answered: What is the slope of the line that passes through the points (6,2) and (7,4)
https://www.mathhomeworkanswers.org/246065/what-the-slope-of-the-line-that-passes-through-the-points-and?show=246078#a246078
<p style="text-align: justify;">The slope is given by dividing the difference between the y coords divided by the difference between the x coords. So slope=(4-2)/(7-6)=2/1=2.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246065/what-the-slope-of-the-line-that-passes-through-the-points-and?show=246078#a246078Wed, 27 Sep 2017 16:03:49 +0000Answered: Square WXYZ has the coordinates W(1,-2), X(1,4), Y(-5,6), and Z(2,-4). The square is dilated by a scale factor of 1/2. What the new coordinates for z?
https://www.mathhomeworkanswers.org/246032/square-coordinates-square-dilated-scale-factor-coordinates?show=246053#a246053
All the coords are halved, so Z is (1,-2)Geometry Answershttps://www.mathhomeworkanswers.org/246032/square-coordinates-square-dilated-scale-factor-coordinates?show=246053#a246053Tue, 26 Sep 2017 14:28:24 +0000Answered: A rectangular garden 25 feet by 50 feet is increased on all sides by the same amount. Its area increases 400 square feet. By how much is each dimension increased?
https://www.mathhomeworkanswers.org/246035/rectangular-increased-increases-square-dimension-increased?show=246051#a246051
<p style="text-align:justify">Let's say that each side of the garden is increased by x feet.</p>
<p style="text-align:justify">Original area = 25*50=1250 sq ft,</p>
<p style="text-align:justify">new area=1250+400=1650=(x+25)(x+50).</p>
<p style="text-align:justify">So x^2+75x+1250=1650; x^2+75x-400=0=(x-5)(x+80). So x=5 or -80. We reject -80 because we can't have a negative length, so the extension is 5 feet.</p>
<p style="text-align:justify">The new size of the garden is 30 by 55 and the area is 1650 sq feet, 400 sq ft more than before.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246035/rectangular-increased-increases-square-dimension-increased?show=246051#a246051Tue, 26 Sep 2017 14:21:53 +0000Answered: The radius of a spherical globe is 9 inches. What is the volume of the sphere?
https://www.mathhomeworkanswers.org/246000/the-radius-spherical-globe-inches-what-the-volume-the-sphere?show=246018#a246018
<p style="text-align: justify;">Volume of a sphere is (4/3)(pi)r^3, where r=9. 9^3=729, so the volume is 972(pi)=3053.63 cu in approx.</p>Geometry Answershttps://www.mathhomeworkanswers.org/246000/the-radius-spherical-globe-inches-what-the-volume-the-sphere?show=246018#a246018Mon, 25 Sep 2017 08:21:59 +0000Answered: Line AB and Line BC form a right angle at their point of intersection, B.
https://www.mathhomeworkanswers.org/245959/line-ab-and-line-form-right-angle-their-point-of-intersection?show=245964#a245964
<p style="text-align:justify">The slope of AB is (1-(-1))/(2-14)=-2/12=-1/6; y-1=-(1/6)(x-2)=-x/6+1/3; y=(4/3)-x/6, so the y intercept is 4/3.</p>
<p style="text-align:justify">The slope of BC is 6 because AB and BC are perpendicular, so the product of the slopes=-1.</p>
<p style="text-align:justify">The equation of BC is y-1=6(x-2); y=6x-11. When y=13, 13=6x-11, 6x=24, x=4.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11324290018872745610" style="height:369px; width:400px"></p>
<p style="text-align:justify"> </p>Geometry Answershttps://www.mathhomeworkanswers.org/245959/line-ab-and-line-form-right-angle-their-point-of-intersection?show=245964#a245964Fri, 22 Sep 2017 19:29:44 +0000Answered: (13,-5), (-6, 8)
https://www.mathhomeworkanswers.org/245953/13-5-6-8?show=245956#a245956
<p style="text-align: justify;">I guess you want the equation of the line joining these points.</p>
<p style="text-align: justify;">The general equation for a line is y=mx+a where m is the slope of the line and a is the y intercept (where the line cuts the y axis). The slope m=(difference between y coord)/(difference between x coord)=</p>
<p>m=(8-(-5))/(-6-13)=13/(-19)=-13/19. This means the line slopes backwards. </p>
<p>So we now have y=-(13/19)x+a. To find a we plug in one of the points: x=-6, y=8:</p>
<p>8=-(13/19)(-6)+a; 8=78/19+a; 8-78/19=a.</p>
<p>a=(152-78)/19=74/19, so y=(74-13x)/19.</p>Geometry Answershttps://www.mathhomeworkanswers.org/245953/13-5-6-8?show=245956#a245956Fri, 22 Sep 2017 12:31:14 +0000Answered: Mn=2.5x,mr=5x-3,nr=x.find mn
https://www.mathhomeworkanswers.org/245784/mn-2-5x-mr-5x-3-nr-x-find-mn?show=245882#a245882
<p>If M, N and R are points on a straight line and N lies between M and R, then</p>
<p>MR = MN + NR, i.e.</p>
<p>5x - 3 = 2.5x + x</p>
<p>10x - 6 = 7x</p>
<p><span style="text-decoration: underline;"><strong>x = 2</strong></span></p>Geometry Answershttps://www.mathhomeworkanswers.org/245784/mn-2-5x-mr-5x-3-nr-x-find-mn?show=245882#a245882Wed, 20 Sep 2017 20:02:28 +0000Answered: If a and b are two non parallel vectors and the position vectors of p, q and r are a+2b, 1÷2a+3÷4b and xa+b, find the value of x if p, q and r are in a straight li
https://www.mathhomeworkanswers.org/245766/parallel-vectors-position-vectors-are-find-value-straight?show=245846#a245846
<p style="text-align:justify">To find the reciprocal of a 3D vector first write <strong>a</strong>=m<strong>i</strong>+n<strong>j</strong>+p<strong>k </strong>where m, n and p are constants (not related to the position vectors in the question) and <strong>i</strong>, <strong>j</strong> and <strong>k </strong>are orthogonal unit vectors. If <strong>r </strong>is the reciprocal vector then <strong>r</strong>=x<strong>i</strong>+y<strong>j</strong>+z<strong>k</strong>.</p>
<p style="text-align:justify">So <strong>a</strong><strong>•r</strong>=1 (scalar) = mx+ny+pz.</p>
<p style="text-align:justify">|<strong>a</strong>|^2=a^2=m^2+n^2+p^2.</p>
<p style="text-align:justify">And <strong>axb </strong>= <strong>0</strong> (vector), and nz-py=mz-px=my-nx=0.</p>
<p style="text-align:justify">So z=px/m and y=nx/m; mx+n^2x/m+p^2x/m=1; multiply through by m:</p>
<p style="text-align:justify">(m^2+n^2+p^2)x=m; x=m/a^2 and y=n/a^2 and z=p/a^2.</p>
<p style="text-align:justify">So <strong>r</strong>=m<strong>i</strong>/a^2+n<strong>j</strong>/a^2+p<strong>k</strong>/a^2, where m=<strong>a</strong><strong>•i</strong>, n=<strong>a</strong><strong>•j</strong>, p=<strong>a</strong><strong>•k</strong>.</p>
<p style="text-align:justify">The reciprocal will help us to calculate the expression for the position vector for q.</p>
<p style="text-align:justify">Let's represent <strong>a</strong>=(a1, a2, a3) then 1/2<strong>a</strong>=(1/2(a1^2+a2^2+a3^2)(a1, a2, a3)=<strong>a</strong>/2a^2.</p>
<p style="text-align:justify">Similarly, 3/4<strong>b</strong>=3<strong>b</strong>/4b^2.</p>
<p style="text-align:justify">If the three position vectors, <strong>p</strong>, <strong>q</strong>, <strong>r </strong>are collinear, then (<strong>p</strong>+<strong>q</strong>)<strong>xr</strong>=0.</p>
<p style="text-align:justify">More to follow...</p>Geometry Answershttps://www.mathhomeworkanswers.org/245766/parallel-vectors-position-vectors-are-find-value-straight?show=245846#a245846Tue, 19 Sep 2017 15:35:42 +0000Answered: the endpoints of line ab are a(-2,-3) and b(3,2). Point c lies on line ab and is 2/5 of the way from a to b. what are the coordinates of Point C ? Explain how you found you answer
https://www.mathhomeworkanswers.org/245810/endpoints-point-from-coordinates-point-explain-found-answer?show=245833#a245833
<p style="text-align:justify">The graph below shows that the solution relies on similar triangles.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=57276845800630025" style="height:323px; width:400px"></p>
<p style="text-align:justify">C lies 2/5 of the way between the x and y coords. Since the difference in each case is 5 units, C is 2 units to the right of A and 2 units above A: -2+2=0, -3+2=-1 so C is (0,-1).</p>Geometry Answershttps://www.mathhomeworkanswers.org/245810/endpoints-point-from-coordinates-point-explain-found-answer?show=245833#a245833Tue, 19 Sep 2017 10:37:13 +0000Answered: How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
https://www.mathhomeworkanswers.org/245773/how-much-heavier-is-a-9-1-8-pound-box-than-a-2-5-6-pound-box?show=245782#a245782
Two possible solutions:<br />
<br />
(9 1/8)÷(2 5/6)=73/8 ÷ 17/6=73/8*6/17=219/68=3 15/68;<br />
<br />
9 1/8 - 2 5/6 = (9-2)+(1/8-5/6)=7+(3-20)/24=7-17/24=6 7/24 lb.Geometry Answershttps://www.mathhomeworkanswers.org/245773/how-much-heavier-is-a-9-1-8-pound-box-than-a-2-5-6-pound-box?show=245782#a245782Sun, 17 Sep 2017 22:44:13 +0000Answered: a rectangle is 3 1/3 feet long and 2 1/3 feet wide. what is the distance around the rectangle?
https://www.mathhomeworkanswers.org/245772/rectangle-feet-long-feet-wide-what-distance-around-rectangle?show=245779#a245779
<p style="text-align: justify;">The perimeter of the rectangle is twice the length plus twice the width:
<br>
<br>
Twice the length is 6 2/3 and twice the width is 4 2/3.
<br>
<br>
Add them together: 10 + 4/3 = 11 1/3.</p>Geometry Answershttps://www.mathhomeworkanswers.org/245772/rectangle-feet-long-feet-wide-what-distance-around-rectangle?show=245779#a245779Sun, 17 Sep 2017 22:02:49 +0000Answered: given collinear points a,b,c with b between a and c. Ab=-x+2, bc=-6x-9, ac=-4x+10. What is the length of bc?i
https://www.mathhomeworkanswers.org/245768/given-collinear-points-with-between-and-6x-10-what-the-length?show=245769#a245769
AC=AB+BC so -4x+10=-x+2-6x-9=-7x-7.<br />
<br />
3x=-17, x=-17/3. BC=-6x-9=34-9=25.Geometry Answershttps://www.mathhomeworkanswers.org/245768/given-collinear-points-with-between-and-6x-10-what-the-length?show=245769#a245769Sun, 17 Sep 2017 19:41:05 +0000If mPXQ = (6x - 2) and mPXS = (7x + 6)
https://www.mathhomeworkanswers.org/245720/if-m%EF%83%90pxq-6x-2-%EF%82%B0-and-m%EF%83%90pxs-7x-6-%EF%82%B0
find the value of x and mQXS.Geometry Answershttps://www.mathhomeworkanswers.org/245720/if-m%EF%83%90pxq-6x-2-%EF%82%B0-and-m%EF%83%90pxs-7x-6-%EF%82%B0Fri, 15 Sep 2017 20:01:36 +0000mRXQ = (x + 7), mQXS = (7x + 3) and mRXS = (11x – 8)
https://www.mathhomeworkanswers.org/245718/m%EF%83%90rxq-x-7-%EF%82%B0-m%EF%83%90qxs-7x-3-%EF%82%B0-and-m%EF%83%90rxs-11x-8-%EF%82%B0
find the value of x and m <RXSGeometry Answershttps://www.mathhomeworkanswers.org/245718/m%EF%83%90rxq-x-7-%EF%82%B0-m%EF%83%90qxs-7x-3-%EF%82%B0-and-m%EF%83%90rxs-11x-8-%EF%82%B0Fri, 15 Sep 2017 19:58:18 +0000