SOLUTION: Consider the following pairs of points: (-8,10) and (10,-8) Determine the distance between the two points

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Question 219614: Consider the following pairs of points: (-8,10) and (10,-8) Determine the distance between the two points
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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%28-8-10%29%5E2%2B%2810--8%29%5E2%29 Plug in x%5B1%5D=-8, x%5B2%5D=10, y%5B1%5D=10, and y%5B2%5D=-8.


d=sqrt%28%28-18%29%5E2%2B%2810--8%29%5E2%29 Subtract 10 from -8 to get -18.


d=sqrt%28%28-18%29%5E2%2B%2818%29%5E2%29 Subtract -8 from 10 to get 18.


d=sqrt%28324%2B%2818%29%5E2%29 Square -18 to get 324.


d=sqrt%28324%2B324%29 Square 18 to get 324.


d=sqrt%28648%29 Add 324 to 324 to get 648.


d=18%2Asqrt%282%29 Simplify the square root.


So our answer is d=18%2Asqrt%282%29


Which approximates to d=25.456


So the distance between the two points is approximately 25.456 units.