SOLUTION: what is the distance between W (-2,-10) and R (6, -1) to the nearest tenth?

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Question 825012: what is the distance between W (-2,-10) and R (6, -1) to the nearest tenth?
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, -10), we can say (x1, y1) = (-2, -10)
So x%5B1%5D+=+-2, y%5B1%5D+=+-10


Since the second point is (6, -1), we can also say (x2, y2) = (6, -1)
So x%5B2%5D+=+6, y%5B2%5D+=+-1


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+-10, x%5B2%5D+=+6, and y%5B2%5D+=+-1

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Now use the distance formula to find the distance between the two points (-2, -10) and (6, -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%28-2+-+%286%29%29%5E2+%2B+%28-10+-+%28-1%29%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+-10, x%5B2%5D+=+6, and y%5B2%5D+=+-1


d+=+sqrt%28%28-2+-+6%29%5E2+%2B+%28-10+%2B+1%29%5E2%29


d+=+sqrt%28%28-8%29%5E2+%2B+%28-9%29%5E2%29


d+=+sqrt%2864+%2B+81%29


d+=+sqrt%28145%29


d+=+12.0415945787923

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Answer:


The distance between the two points (-2, -10) and (6, -1) is exactly sqrt%28145%29 units


The approximate distance between the two points is about 12.0415945787923 units



So again,


Exact Distance: sqrt%28145%29 units


Approximate Distance: 12.0415945787923 units