Question

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

Answer 1

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`