SOLUTION: Find the distance between (5,8) and (-4,5)

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Question 139482: Find the distance between (5,8) and (-4,5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

d=sqrt%28%285--4%29%5E2%2B%288-5%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=-4, y%5B1%5D=8, y%5B2%5D=5

d=sqrt%28%289%29%5E2%2B%283%29%5E2%29 Evaluate 5--4 to get 9. Evaluate 8-5 to get 3.

d=sqrt%2881%2B9%29 Square each value

d=sqrt%2890%29 Add

d=3%2Asqrt%2810%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)


So the distance approximates to

d=9.48683298050514

which rounds to
9.49

So the distance between (5,8) and (-4,5) is approximately 9.49 units