Find the possible values if (9, -12) and (2,a) are 25 units apart

asked Jul 15, 2021 176k views

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by Mtl

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3 votes

Answer:

12,-36

Explanation:

us the distance formula,

distance =
$\sqrt{(9-2)^2 + (-12-a)^2$

squaring on both sides,

$25^2 = 7^2 + (-(12+a))^2\\625 = 49 + (12+a)^2\\(12+a)^2 = 576\\12+a = 24 or 12+a = -24\\a = 12 , a =-36$

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