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What is the exact distance between these points. (4,-8) (10,-10) (2,2) (10,8)

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monique06 | Valedictorian

Posted May 23, 2013 at 5:24 PM via web

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What is the exact distance between these points.

(4,-8) (10,-10)

(2,2) (10,8)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 23, 2013 at 5:35 PM (Answer #1)

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The distance between any two points `A(x_1, y_1)` and `B(x_2, y_2)` is equal to `D = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)` .

The distance between the given pairs of points is:

(4,-8) (10,-10): `sqrt((-10 + 8)^2 + (10 - 4)^2)` =` sqrt(4 + 36)` = `sqrt 40 = 2*sqrt 10`

(2,2) (10,8) : `sqrt((8 - 2)^2 + (10 - 2)^2)` = `sqrt(36 + 64)` = sqrt 100 = 10

The distance between (4,-8) (10,-10) is `2*sqrt 10` and the distance between (2,2) (10,8) is 10

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