Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - The Pythagorean Theorem and the Distance Formula - Exercises: 7

Answer

$$d\approx 2.6$$

Work Step by Step

The distance $d$ between the two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by $$d=\sqrt {(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}.$$ Substitute $x_{1}=0$, $y_{1}=0$, $x_{2}=4$ and $y_{2}=-3$ and round to the nearest tenth. $$d=\sqrt {(4-0)^{2}+(-3-0)^{2}}=\sqrt {16-9}=\sqrt {7}\approx 2.6$$
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