Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Cumulative Review - Page 188: 1

Answer

$5\sqrt 2$, $(\frac{3}{2},\frac{1}{2})$

Work Step by Step

Step 1. Use the distance formula, we have $d_{PQ}=\sqrt {(-1-4)^2+(-2-3)^2}=5\sqrt 2$ Step 2. Use the midpoint formula, we have $x_m=\frac{-1+4}{2}=\frac{3}{2}$ and $y_m=\frac{3-2}{2}=\frac{1}{2}$, thus the midpoint is $(\frac{3}{2},\frac{1}{2})$
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