Question

Can someone pls help me find the x value?

Answer 1

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`