Answer
$d=5.8$
$M(1.5,0.5)$
Work Step by Step
Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(3-0)^2+(3-(-2))^2}$
$d=\sqrt{(3)^2+(5)^2}$
$d=\sqrt{9+25}$
$d=\sqrt{34}$
$d=5.8$
Use the midpoint formula to find the x-coordinate of the midpoint:
$x_m=\frac{x_1+x_2}{2}=\frac{0+3}{2}=\frac{3}{2}=1.5$
Use the midpoint formula to find the y-coordinate of the midpoint:
$y_m=\frac{y_1+y_2}{2}=\frac{-2+3}{2}=\frac{1}{2}=0.5$