SOLUTION: use the distance formula and the Pythagorean theorem to find the distance, to the nearest tenth, from s(3,-5) to u(-5,1)

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Question 356946: use the distance formula and the Pythagorean theorem to find the distance, to the nearest tenth, from s(3,-5) to u(-5,1)
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=3 and y%5B1%5D=-5.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=1.


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%283--5%29%5E2%2B%28-5-1%29%5E2%29 Plug in x%5B1%5D=3, x%5B2%5D=-5, y%5B1%5D=-5, and y%5B2%5D=1.


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


d=sqrt%28%288%29%5E2%2B%28-6%29%5E2%29 Subtract 1 from -5 to get -6.


d=sqrt%2864%2B%28-6%29%5E2%29 Square 8 to get 64.


d=sqrt%2864%2B36%29 Square -6 to get 36.


d=sqrt%28100%29 Add 64 to 36 to get 100.


d=10 Take the square root of 100 to get 10.


So our answer is d=10


So the distance between the two points is 10 units.


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Jim