SOLUTION: find the distance d(p1,p2)between the points P1 and P2 P1=(5,-5) P2=(2,1)

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Question 759150: find the distance d(p1,p2)between the points P1 and P2
P1=(5,-5) P2=(2,1)
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 (5, -5), we can say (x1, y1) = (5, -5)
So x%5B1%5D+=+5, y%5B1%5D+=+-5


Since the second point is (2, 1), we can also say (x2, y2) = (2, 1)
So x%5B2%5D+=+2, y%5B2%5D+=+1


Put this all together to get: x%5B1%5D+=+5, y%5B1%5D+=+-5, x%5B2%5D+=+2, and y%5B2%5D+=+1

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Now use the distance formula to find the distance between the two points (5, -5) and (2, 1)



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


d+=+sqrt%28%285+-+2%29%5E2+%2B+%28-5+-+1%29%5E2%29 Plug in x%5B1%5D+=+5, y%5B1%5D+=+-5, x%5B2%5D+=+2, and y%5B2%5D+=+1


d+=+sqrt%28%283%29%5E2+%2B+%28-6%29%5E2%29


d+=+sqrt%289+%2B+36%29


d+=+sqrt%2845%29


d+=+sqrt%289%2A5%29


d+=+sqrt%289%29%2Asqrt%285%29


d+=+3%2Asqrt%285%29


d+=+6.70820393249937

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Answer:


The distance between the two points (5, -5) and (2, 1) is exactly 3%2Asqrt%285%29 units


The approximate distance between the two points is about 6.70820393249937 units



So again,


Exact Distance: 3%2Asqrt%285%29 units


Approximate Distance: 6.70820393249937 units