Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 53

Answer

$d\approx 6.71 \text{ units} $

Work Step by Step

Using $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ or the Distance Formula, then the distance, $d$, between the given points $( 6,-1 )$ and $( 9,5 )$ is \begin{array}{l}\require{cancel} d=\sqrt{(6-9)^2+(5-(-1))^2} \\\\ d=\sqrt{(-3)^2+(6)^2} \\\\ d=\sqrt{9+36} \\\\ d=\sqrt{45} \\\\ d=\sqrt{9\cdot5} \\\\ d=\sqrt{(3)^2\cdot5} \\\\ d=3\sqrt{5} \\\\ d\approx 6.71 \text{ units} .\end{array}
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