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: 55

Answer

$d\approx 6.40 \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 $( -7,-5 )$ and $( -2,-1 )$ is \begin{array}{l}\require{cancel} d=\sqrt{(-7-(-2))^2+(-5-(-1))^2} \\\\ d=\sqrt{(-7+2)^2+(-5+1)^2} \\\\ d=\sqrt{(-5)^2+(-4)^2} \\\\ d=\sqrt{25+16} \\\\ d=\sqrt{41} \\\\ d\approx 6.40 \text{ units} .\end{array}
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