SOLUTION: Find the distance between the points. (-2,7) and (3, -8)

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Question 960831: Find the distance between the points.
(-2,7) and (3, -8)
Found 2 solutions by jim_thompson5910, rfer:
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, 7), we can say (x1, y1) = (-2, 7)
So x%5B1%5D+=+-2, y%5B1%5D+=+7


Since the second point is (3, -8), we can also say (x2, y2) = (3, -8)
So x%5B2%5D+=+3, y%5B2%5D+=+-8


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+7, x%5B2%5D+=+3, and y%5B2%5D+=+-8

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Now use the distance formula to find the distance between the two points (-2, 7) and (3, -8)



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+-+%283%29%29%5E2+%2B+%287+-+%28-8%29%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+7, x%5B2%5D+=+3, and y%5B2%5D+=+-8


d+=+sqrt%28%28-2+-+3%29%5E2+%2B+%287+%2B+8%29%5E2%29


d+=+sqrt%28%28-5%29%5E2+%2B+%2815%29%5E2%29


d+=+sqrt%2825+%2B+225%29


d+=+sqrt%28250%29


d+=+sqrt%2825%2A10%29


d+=+sqrt%2825%29%2Asqrt%2810%29


d+=+5%2Asqrt%2810%29


d+=+15.8113883008419

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Answer:


The distance between the two points (-2, 7) and (3, -8) is exactly 5%2Asqrt%2810%29 units


The approximate distance between the two points is about 15.8113883008419 units



So again,


Exact Distance: 5%2Asqrt%2810%29 units


Approximate Distance: 15.8113883008419 units

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
5^2+15^2=c^2
25+225=c^2
c=15.8