Can someone pls help me find the x value?

Question

asked Sep 17, 2019 117k views

1 Answer

Marwen Trabelsi · Answer 1 · 2019-09-22T07:50:34+0000

Apply the distance formula and find an expression for the distance between the points;

A(2,4) and B(-6,x)

Recall that the distance formula is given by,

$d=\sqrt((x_2 - x_1 )^2 +(y_2 - y_1)^2$

$10=\sqrt((-6-2)^2 + (x-4)^2))$

This implies that

$10=\sqrt((-8)^2 + (x-4)^2))$

$10=\sqrt(64 + (x-4)^2))$

Squaring both sides

100=64 + (x-4)^2

100-64=(x-4)^2

36=(x-4)^2

Taking square root of both sides gives

$\sqrt(36)=(x-4)$

6=(x-4)

6+4=x

x=10