Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set: 81

Answer

$\sqrt 10\approx3.162$ units

Work Step by Step

We know that the distance $d$ between two points $(x_{1},y_{1})$ and $x_{2},y_{2})$ is given by $d=\sqrt ((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})$. Therefore, the distance between $(-9,4)$ and $(-8,1)$ will be $d=\sqrt ((-8-(-9))^{2}+(1-4)^{2})=\sqrt ((1)^{2}+(-3)^{2})=\sqrt (1+9)=\sqrt 10\approx3.162$ units
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