Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises - Page 192: 16


a. $10$ b. $(-1,-1)$

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. $P(-4,3), Q(2, -5)$. $d(P, Q)=\sqrt{(2-(-4))^{2}+(-5-3)^{2}}$ $=\sqrt{6^{2}+8^{2}}=\sqrt{36+64}=\sqrt{100}=10$ b. $M=(\displaystyle \frac{-4+2}{2},\frac{3+(-5)}{2})=(-1,-1)$
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