SOLUTION: Find the distance between the pair of points. Express the answer in simplest radical form. (-2, -2), (7, 10)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the distance between the pair of points. Express the answer in simplest radical form. (-2, -2), (7, 10)       Log On


   

Question 883261: Find the distance between the pair of points. Express the answer in simplest radical form.
(-2, -2), (7, 10)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-2, -2), we can say (x1, y1) = (-2, -2)
So x%5B1%5D+=+-2, y%5B1%5D+=+-2


Since the second point is (7, 10), we can also say (x2, y2) = (7, 10)
So x%5B2%5D+=+7, y%5B2%5D+=+10


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+-2, x%5B2%5D+=+7, and y%5B2%5D+=+10

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Now use the distance formula to find the distance between the two points (-2, -2) and (7, 10)



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


d+=+sqrt%28%28-2+-+7%29%5E2+%2B+%28-2+-+10%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+-2, x%5B2%5D+=+7, and y%5B2%5D+=+10


d+=+sqrt%28%28-9%29%5E2+%2B+%28-12%29%5E2%29


d+=+sqrt%2881+%2B+144%29


d+=+sqrt%28225%29


d+=+15

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Answer:


The distance between the two points (-2, -2) and (7, 10) is exactly 15 units