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A grid shows the position of a subway stop at your house. The subway stop is located at (-5, 2) and your house is located (-9,9). What is the distance, to the nearest unit, between your house and the subway stop?



Answer :

[tex]A(-5;\ 2);\ B(-9;\ 9)\\\\|AB|=\sqrt{(-9-(-5))^2+(9-2)^2}=\sqrt{(-4)^2+7^2}=\sqrt{16+49}\\\\=\sqrt{65}\approx8\ (units)[/tex]

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