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AB is a line segment parallel to the x-axis, where M is the midpoint of AB, If the length of AB = 12 and the coordinates of M are (−2, 5), what are the coordinates of A?

 

A. A = (-12,5)

B. A = (-10,5)

C. A = (-8,5) 

D. A = (4,5)

 Mar 17, 2016
edited by Guest  Mar 17, 2016
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If AB is bisected by M and the length of AB is 12, then A must be 6 units away from M.

 

It's parallel to the x-axis, so only worry about x-coords for now.

 

-2 is 10 away from -12.

 

-2 is 8 away from -10

 

-2 is 6 away from 4

 

-2 is 6 away from -8

 

However, -8 makes more sense because it should go A, then M, then B. So the answer is C. (-8,5)

 Mar 17, 2016

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