Question

What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?

Answer 1

Distance Formula: $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Apply the points: $D=\sqrt{(8-(-6))^2+((-2)-5)^2$

Solve: $D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}$

Since the square root of 218 cannot be simplified, the answer is

$D=\sqrt{218}$

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