## Algebra 2 Common Core

Published by Prentice Hall

# Skills Handbook - The Pythagorean Theorem and the Distance Formula - Exercises - Page 981: 10

#### Answer

$$8.9$$

#### 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 $x_{1}=-4$, $y_{1}=2$, $x_{2}=4$ and $y_{2}=-2$ and round to the nearest tenth. $$d=\sqrt {(4-(-4))^{2}+(-2-2)^{2}}=\sqrt {64+16}=\sqrt{80}=8.9$$

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