SOLUTION: Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. (-4, -1), (-5,5)

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Question 1171985: Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
(-4, -1), (-5,5)

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

Apply the distance formula


    d = sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2+%2B+%28y%5B2%5D-y%5B1%5D%29%5E2%29.


In your case  (x%5B1%5D,y%5B1%5D) = (-4,-1),  (x%5B2%5D,y%5B2%5D) = (-5,5).


THEREFORE,


    d = sqrt%28%28-5-%28-4%29%29%5E2%2B%285-%28-1%29%29%5E2%29 = sqrt%281%5E2+%2B+6%5E2%29 = sqrt%281%2B36%29 = sqrt%2837%29.


ANSWER.  The distance between two given points is  sqrt%2837%29  units.

Solved.

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Memorize the formula and the way on how it works.

You will see and use this formula hundreds of times in your life.