Question #06b72

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Question #06b72

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Answer 1 · 2017-05-22T15:50:07

Please ,have a look at the explanation.

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$let the two endpoints of the segment AB be A(x,y) and B(8,9).$ $"let the two endpoints of the segment AB be A(x,y) and B(8,9)."$
$We can calculate the other end A(x,y),if The midpoint of the$ $"We can calculate the other end A(x,y),if The midpoint of the"$ $segment is known.$ $"segment is known."$

$we can use the formula Midpoint = (\frac{x + 8}{2}, \frac{y + 9}{2})$ $"we can use the formula Midpoint"=((x+8)/2,(y+9)/2)$
$to calculate the midpoint of segment AB.$ $"to calculate the midpoint of segment AB."$

$5 = \frac{x + 8}{2}$ $5=(x+8)/2$

$10 = x + 8$ $10=x+8$

$x = 10 - 8$ $x=10-8$

$x = 2$ $x=2$

$6 = \frac{y + 9}{2}$ $6=(y+9)/2$

$12 = y + 9$ $12=y+9$

$y = 12 - 9$ $y=12-9$

$y = 3$ $y=3$

$We have found the unknown other end of the segment.$ $"We have found the unknown other end of the segment."$

$A (x, y) \Rightarrow A (2, 3)$ $A(x,y)rArrA(2,3)$

$answer to your question.$ $"answer to your question."$

enter image source here

$10 = \frac{A_{x} + x}{2}$ $10=(A_x+x)/2$

$10 = \frac{- 8 + x}{2}$ $10=(-8+x)/2$
$20 = - 8 + x$ $20=-8+x$
$x = 20 + 8$ $x=20+8$
$x = 28 the x coordinate of the other endpoint$ $x=28" the x coordinate of the other endpoint"$

$7 = \frac{A_{y} + y}{2}$ $7=(A_y+y)/2$

$7 = \frac{- 10 + y}{2}$ $7=(-10+y)/2$
$14 = - 10 + y$ $14=-10+y$
$y = 14 + 10$ $y=14+10$
$y = 24 the y coordinate of the other endpoint.$ $y=24" the y coordinate of the other endpoint."$

$B (28, 24)$ $B(28,24)$

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Question #06b72

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