SOLUTION: Find the distance between the points at (0,7) and (-5,13)

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Question 730097: Find the distance between the points at (0,7) and (-5,13)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For more help with finding the distance, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver

Solved by pluggable solver: Distance Formula


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


Since the first point is (0, 7), we can say (x1, y1) = (0, 7)
So x%5B1%5D+=+0, y%5B1%5D+=+7


Since the second point is (-5, 13), we can also say (x2, y2) = (-5, 13)
So x%5B2%5D+=+-5, y%5B2%5D+=+13


Put this all together to get: x%5B1%5D+=+0, y%5B1%5D+=+7, x%5B2%5D+=+-5, and y%5B2%5D+=+13

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Now use the distance formula to find the distance between the two points (0, 7) and (-5, 13)



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


d+=+sqrt%28%280+-+%28-5%29%29%5E2+%2B+%287+-+13%29%5E2%29 Plug in x%5B1%5D+=+0, y%5B1%5D+=+7, x%5B2%5D+=+-5, and y%5B2%5D+=+13


d+=+sqrt%28%280+%2B+5%29%5E2+%2B+%287+-+13%29%5E2%29


d+=+sqrt%28%285%29%5E2+%2B+%28-6%29%5E2%29


d+=+sqrt%2825+%2B+36%29


d+=+sqrt%2861%29


d+=+7.81024967590665

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Answer:


The distance between the two points (0, 7) and (-5, 13) is exactly sqrt%2861%29 units


The approximate distance between the two points is about 7.81024967590665 units



So again,


Exact Distance: sqrt%2861%29 units


Approximate Distance: 7.81024967590665 units





For more help with finding the distance, see this solver: http://www.algebra.com/algebra/homework/Length-and-distance/distance-formula.solver