Answer:
(x, y) = (6.75, -0.5)
Step-by-step explanation:
You require the point (x, y) such that the distance from (3, -2) is 3 times the distance from (8, 0). That is ...
x-3 = 3(8 -x)
and
y-(-2) = 3(0 -y)
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Solving the first equation, we get ...
x -3 = 24 -3x
4x = 27 . . . . . . . . . . . . add 3x+3
x = 27/4 = 6.75 . . . . . . this is sufficient to choose the correct answer.
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Solving the second equation, we get ...
y +2 = -3y
4y +2 = 0 . . . . . add 3y
y + 1/2 = 0 . . . . . divide by 4
y = -0.5 . . . . . . . . . . . this confirms the correct answer choice.
