SOLUTION: What is the distance between the points (-6, -2) and (-4, -5)? Select the best answer from the choices provided. A. √13 B. √53 C. √109 D. √149

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: What is the distance between the points (-6, -2) and (-4, -5)? Select the best answer from the choices provided. A. √13 B. √53 C. √109 D. √149      Log On

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Question 1164000: What is the distance between the points (-6, -2) and (-4, -5)?
Select the best answer from the choices provided.
A.
√13
B.
√53
C.
√109
D.
√149
Answer by ikleyn(52781) 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) = (-6,-2),  (x%5B2%5D,y%5B2%5D) = (-4,-5).


THEREFORE,


    d = sqrt%28%28-4-%28-6%29%29%5E2%2B%28%28-5%29-%28-2%29%29%5E2%29 = sqrt%282%5E2+%2B+%28-3%29%5E2%29 = sqrt%284%2B9%29 = sqrt%2813%29.


ANSWER.  The distance between two given points is  sqrt%2813%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.