Answer
$d=5.4$
$M(-2.5,3)$
Work Step by Step
Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(0-(-5))^2+(4-2)^2}$
$d=\sqrt{(5)^2+(2)^2}$
$d=\sqrt{25+4}$
$d=\sqrt{29}$
$d\approx5.4$
Use the midpoint formula to find the x-coordinate of the midpoint:
$x_m=\frac{x_1+x_2}{2}=\frac{-5+0}{2}=\frac{-5}{2}=-2.5$
Use the midpoint formula to find the y-coordinate of the midpoint:
$y_m=\frac{y_1+y_2}{2}=\frac{4+2}{2}=\frac{6}{2}=3$
