What is the x- coordinate of the point on the x-axis that is equidistant from points A( -2, 0) and B(0,\(8\))?
+2668 Using the distance formula, we have the following system, where:
\(x = \) x co-ordinate of the point
\(y = \) distance between 2 points
\(64+x^2=y^2\) Distance between \((0,8)\) and \((x, 0)\)
\(y=x+2\) Distance between \((-2,0)\) and \((x,0)\)
Substituting in the second equation, we have: \(64+x^2=x^2+4x+4\)
Solving for x, we find \(\color{brown}\boxed{x = 15}\)
