SOLUTION: Please help me find the distance between the pionts (8,3) and (2,7).

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Question 209345: Please help me find the distance between the pionts (8,3) and (2,7).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=8 and y%5B1%5D=3.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=7.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%288-2%29%5E2%2B%283-7%29%5E2%29 Plug in x%5B1%5D=8, x%5B2%5D=2, y%5B1%5D=3, and y%5B2%5D=7.


d=sqrt%28%286%29%5E2%2B%283-7%29%5E2%29 Subtract 2 from 8 to get 6.


d=sqrt%28%286%29%5E2%2B%28-4%29%5E2%29 Subtract 7 from 3 to get -4.


d=sqrt%2836%2B%28-4%29%5E2%29 Square 6 to get 36.


d=sqrt%2836%2B16%29 Square -4 to get 16.


d=sqrt%2852%29 Add 36 to 16 to get 52.


d=2%2Asqrt%2813%29 Simplify the square root.


So our answer is d=2%2Asqrt%2813%29


Which approximates to d=7.211


So the distance between the two points is approximately 7.211 units.