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Find the distance between the points. Give an exact answer please of and an...

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monique06 | (Level 3) Valedictorian

Posted June 10, 2013 at 3:01 AM via web

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Find the distance between the points. Give an exact answer please of and an approximation to three decimal places.

What is the exact distance _______ and approximate distance _________ of (-1,7) and (-11,-15)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 10, 2013 at 3:19 AM (Answer #1)

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The distance between the points (-1,7) and (-11,-15) has to be determined.

Use the distance formula that gives the distance between the points `A(x_1, y_1)` and `B(x_2, y_2)` as `D = sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

The distance between (-1,7) and (-11,-15) is `sqrt((-11+1)^2+(-15-7)^2)` = `sqrt(100+484)` = `sqrt584` = `2*sqrt 146 ~~ 24.16`

The exact distance between the points (-1,7) and (-11,-15) is `2*sqrt 146` and the approximate distance is `24.16` units

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monique06 | (Level 3) Valedictorian

Posted June 10, 2013 at 12:39 PM (Reply #1)

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The answers are 2 `sqrt146` and 24.166

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