SOLUTION: Find the distance between (-9,3)and(-1,-5)

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Question 104656: Find the distance between (-9,3)and(-1,-5)
Answer by jim_thompson5910(28536) 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%28-9--1%29%5E2%2B%283--5%29%5E2%29 Plug in x%5B1%5D=-9, x%5B2%5D=-1, y%5B1%5D=3, y%5B2%5D=-5

d=sqrt%28%28-8%29%5E2%2B%288%29%5E2%29 Evaluate -9--1 to get -8. Evaluate 3--5 to get 8.

d=sqrt%2864%2B64%29 Square each value

d=sqrt%28128%29 Add

d=8%2Asqrt%282%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=11.3137084989848

which rounds to
11.31

So the distance between (-9,3) and (-1,-5) is approximately 11.31 units