What is the $x$-coordinate of the point on the $x$-axis that is equidistant from points $A( -2, 0)$ and $B(0,4)$?

Guest Jul 7, 2019

#1**+1 **

It is on the x-axis , so the y coordinate will be '0'

x, 0

Distance from point a= sqrt ((-2-x)^2 + 0^2)

equate to the distance from point b

sqrt(0-x)^2 + (4-0)^2

x^2 +16 = 4 +4x + x^2

12 = 4x

x = 3

since y = 0 the point is 3,0 and the distance from each point is 5

ElectricPavlov Jul 7, 2019