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 6 - Analytic Trigonometry - Section 6.5 Sum and Difference Formulas - 6.5 Assess Your Understanding - Page 508: 1

Answer

$5 $ units

Work Step by Step

Given: $ P_{1}(2, -3) \\P_{2}(5, 1)$ Use the Distance Formula between the two points $P_{1}\left(x_{1}, y_{1}\right) \text{ and }P_{2}\left(x_{2}, y_{2}\right)$ $d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}- y_{1}\right)^{2}}$ to obtain: $d=\sqrt{(5-2)^{2}+(1-(-3))^{2}}$ $d=\sqrt{3^{2}+4^{2}}$ $d=\sqrt{9+16}$ $d=5 \quad \text{ units}$
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