## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises - Page 192: 17

#### Answer

a. $\sqrt{34}$ b. $(\displaystyle \frac{11}{2},\frac{7}{2})$

#### Work Step by Step

Let $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$. $d(P, Q)=\sqrt{(x_{2}-x_{\mathrm{I}})^{2}+(y_{2}-y_{1})^{2}}$ $M=(\displaystyle \frac{x_{\mathrm{I}}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ ----------------------- a. $P(8,2), Q(3,5)$. $d(P, Q)=\sqrt{(3-8)^{2}+(5-2)^{2}}$ $=\sqrt{(-5)^{2}+3^{2}}=\sqrt{25+9}=\sqrt{34}$ b. $M=(\displaystyle \frac{8+3}{2},\frac{2+5}{2})=(\frac{11}{2},\frac{7}{2})$

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