SOLUTION: how do you find the distance between the pair of points (5,-5) and (1,-2)?

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Question 293490: how do you find the distance between the pair of points (5,-5) and (1,-2)?
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=5 and y%5B1%5D=-5.
Also, is the second point . So this means that x%5B2%5D=1 and y%5B2%5D=-2.


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%285-1%29%5E2%2B%28-5--2%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=1, y%5B1%5D=-5, and y%5B2%5D=-2.


d=sqrt%28%284%29%5E2%2B%28-5--2%29%5E2%29 Subtract 1 from 5 to get 4.


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


d=sqrt%2816%2B%28-3%29%5E2%29 Square 4 to get 16.


d=sqrt%2816%2B9%29 Square -3 to get 9.


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