SOLUTION: What is the length of D(-5,7) G(8,31)

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Question 913130: What is the length of D(-5,7) G(8,31)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The length of DG is the same as the distance from point D to point G.

Solved by pluggable solver: Distance Formula


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


Since the first point is (-5, 7), we can say (x1, y1) = (-5, 7)
So x%5B1%5D+=+-5, y%5B1%5D+=+7


Since the second point is (8, 31), we can also say (x2, y2) = (8, 31)
So x%5B2%5D+=+8, y%5B2%5D+=+31


Put this all together to get: x%5B1%5D+=+-5, y%5B1%5D+=+7, x%5B2%5D+=+8, and y%5B2%5D+=+31

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Now use the distance formula to find the distance between the two points (-5, 7) and (8, 31)



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


d+=+sqrt%28%28-5+-+8%29%5E2+%2B+%287+-+31%29%5E2%29 Plug in x%5B1%5D+=+-5, y%5B1%5D+=+7, x%5B2%5D+=+8, and y%5B2%5D+=+31


d+=+sqrt%28%28-13%29%5E2+%2B+%28-24%29%5E2%29


d+=+sqrt%28169+%2B+576%29


d+=+sqrt%28745%29


d+=+27.2946881279124

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Answer:


The distance between the two points (-5, 7) and (8, 31) is exactly sqrt%28745%29 units


The approximate distance between the two points is about 27.2946881279124 units



So again,


Exact Distance: sqrt%28745%29 units


Approximate Distance: 27.2946881279124 units





Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
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Thanks,

Jim