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 - Page 433: 78


13 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 $(2,3)$ and $(14,8)$ will be $d=\sqrt ((14-2)^{2}+(8-3)^{2})=\sqrt ((12)^{2}+(5)^{2})=\sqrt (144+25)=\sqrt 169=13$ units
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