SOLUTION: What is the distance between the points (-3,8) and (4,2) to the nearest tenth?

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Question 876062: What is the distance between the points (-3,8) and (4,2) 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 (-3, 8), we can say (x1, y1) = (-3, 8)
So x%5B1%5D+=+-3, y%5B1%5D+=+8


Since the second point is (4, 2), we can also say (x2, y2) = (4, 2)
So x%5B2%5D+=+4, y%5B2%5D+=+2


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+8, x%5B2%5D+=+4, and y%5B2%5D+=+2

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Now use the distance formula to find the distance between the two points (-3, 8) and (4, 2)



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


d+=+sqrt%28%28-3+-+4%29%5E2+%2B+%288+-+2%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+8, x%5B2%5D+=+4, and y%5B2%5D+=+2


d+=+sqrt%28%28-7%29%5E2+%2B+%286%29%5E2%29


d+=+sqrt%2849+%2B+36%29


d+=+sqrt%2885%29


d+=+9.21954445729289

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Answer:


The distance between the two points (-3, 8) and (4, 2) is exactly sqrt%2885%29 units


The approximate distance between the two points is about 9.21954445729289 units



So again,


Exact Distance: sqrt%2885%29 units


Approximate Distance: 9.21954445729289 units