Question #22908

What is the distance between points (3, 1) and (0, –5)? Round to the nearest tenth.

Expert's answer

What is the distance between points (3, 1) and (0, -5)? Round to the nearest tenth.

Distance is: d=(x2x1)2+(y2y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d=(03)2+(51)2=9+36=45=35d = \sqrt {(0 - 3) ^ {2} + (- 5 - 1) ^ {2}} = \sqrt {9 + 3 6} = \sqrt {4 5} = 3 \sqrt {5}

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