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If the endpoint is (3/2, 1 1/2), and the midpoint is (2/5, -8/5) what is the other endpoint

User Dan Vogel
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4 votes
the other endpoint is (-11/10, -71/10)
If the endpoint is (3/2, 1 1/2), and the midpoint is (2/5, -8/5) what is the other-example-1
User Victor Odiah
by
8.3k points
2 votes

Answer:

The answer to your question is ( -7/10, -4 7/10)

Explanation:

Data

Enpoint (3/2, 1 1/2) x1 = 3/2 y1 = 1 1/2

Midpoint (2/5, -8/5) xm = 2/5 ym = -8/5

Entpoint 2 ( x, y)

Formula

Xm = (x1 + x2)/2 Solve for x2 x2 = 2xm - x1

Ym = (y1 + y2)/2 Solve for y2 y2 = 2ym - y1

Substitution

x2 = 2(2/5) - 3/2

x2 = 4/5 - 3/2

x2 = (8 - 15)/10

x2 = -7/10

y2 = 2(-8/5) - 1 1/2

y2 = -16/5 - 3/2

y2 = (-32 - 15) / 10

y2 = -47/10 = -4 7/10

User Ted Johnson
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