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What is the distance, in units, between the points \((2, -6)\) and \((-4, 3)\)? Express your answer in the simplest radical form.

 Sep 4, 2022
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Using the distance formula,\(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2},\) we substitue them in to get \(\sqrt{(2-(-4))^2+(-6-3)^2},\) which simplifies to \(\sqrt{36+81}=\sqrt{117}=\boxed{3\sqrt13.}\)

 Sep 5, 2022

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