# Distance between (-5,13) and (4,7)?

Darryl English 2022-07-20 Answered
Distance between (-5,13) and (4,7)?
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Sheldon Castillo
The distance between two points $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ is given by
$\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
Hence distance between (-5,13) and (4,7) is
$\sqrt{{\left(4-\left(-5\right)\right)}^{2}+{\left(7-13\right)}^{2}}$
$\sqrt{{\left(4+5\right)}^{2}+{\left(-6\right)}^{2}}$
$\sqrt{81+36}=\sqrt{117}=10.817$

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