SOLUTION: Whats the distance between (4,4) and (7,8)

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Question 274778: Whats the distance between (4,4) and (7,8)
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=4 and y%5B1%5D=4.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=8.


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%284-7%29%5E2%2B%284-8%29%5E2%29 Plug in x%5B1%5D=4, x%5B2%5D=7, y%5B1%5D=4, and y%5B2%5D=8.


d=sqrt%28%28-3%29%5E2%2B%284-8%29%5E2%29 Subtract 7 from 4 to get -3.


d=sqrt%28%28-3%29%5E2%2B%28-4%29%5E2%29 Subtract 8 from 4 to get -4.


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


d=sqrt%289%2B16%29 Square -4 to get 16.


d=sqrt%2825%29 Add 9 to 16 to get 25.


d=5 Take the square root of 25 to get 5.


So our answer is d=5


So the distance between the two points is 5 units.