SOLUTION: Please help me solve this Find the distance between the given points. (0,5) and (-3,-7).

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Question 388681: Please help me solve this
Find the distance between the given points. (0,5) and (-3,-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=0 and y%5B1%5D=5.
Also, is the second point . So this means that x%5B2%5D=-3 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%280--3%29%5E2%2B%285--7%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=-3, y%5B1%5D=5, and y%5B2%5D=-7.


d=sqrt%28%283%29%5E2%2B%285--7%29%5E2%29 Subtract -3 from 0 to get 3.


d=sqrt%28%283%29%5E2%2B%2812%29%5E2%29 Subtract -7 from 5 to get 12.


d=sqrt%289%2B%2812%29%5E2%29 Square 3 to get 9.


d=sqrt%289%2B144%29 Square 12 to get 144.


d=sqrt%28153%29 Add 9 to 144 to get 153.


d=3%2Asqrt%2817%29 Simplify the square root.


So the exact distance is d=3%2Asqrt%2817%29


Which approximates to d=12.369


So the distance between the two points is approximately 12.369 units.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim