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A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit…

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit…
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A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit, between your house and the subway stop?

User Rafael Augusto
by
8.3k points

1 Answer

5 votes

\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 7}}\quad ,&{{ -6}})\quad % (c,d) &({{ -9}}\quad ,&{{ 5}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=√([-9-7]^2+[5-(-6)]^2)\implies d=√([-9-7]^2+[5+6]^2)
User Ahmet Arslan
by
8.8k points
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