Question

Find the distance between the two points rounding to the nearest tenth (if necessary). ( − 5 , 2 ) and ( 1 , − 6 ) (−5,2) and (1,−6)

Answer 1

Answer: 10

Work Shown

`(x_1,y_1) = (-5,2) \text{ and } (x_2, y_2) = (1,-6)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-5-1)^2 + (2-(-6))^2)\\\\d = √((-5-1)^2 + (2+6)^2)\\\\d = √((-6)^2 + (8)^2)\\\\d = √(36 + 64)\\\\d = √(100)\\\\d = 10\\\\`

The exact distance between (-5,2) and (1,-6) is 10 units

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