#### Answer

(a) $d=\sqrt{13}$
(b) midpoint=$(\frac{3}{2},1)$

#### Work Step by Step

(a) We find the distance between the points $(0,2)$ and $(3,0)$ by using the Distance Formula:
$d=\sqrt{(3-0)^{2}+(0--2)^{2}}=\sqrt{3^{2}+2^{2}}=\sqrt{9+4}=\sqrt{13}$
(b) We find the midpoint by using the Midpoint Formula:
midpoint=$(\displaystyle \frac{3+0}{2},\ \frac{0+2}{2})=(\frac{3}{2},1)$