SOLUTION: What is the distance between the two points: ((( A 0,-6 B 14,0 ))).

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Question 224053: What is the distance between the two points:
((( A 0,-6 B 14,0 ))).
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=-6.
Also, is the second point . So this means that x%5B2%5D=14 and y%5B2%5D=0.


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%280-14%29%5E2%2B%28-6-0%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=14, y%5B1%5D=-6, and y%5B2%5D=0.


d=sqrt%28%28-14%29%5E2%2B%28-6-0%29%5E2%29 Subtract 14 from 0 to get -14.


d=sqrt%28%28-14%29%5E2%2B%28-6%29%5E2%29 Subtract 0 from -6 to get -6.


d=sqrt%28196%2B%28-6%29%5E2%29 Square -14 to get 196.


d=sqrt%28196%2B36%29 Square -6 to get 36.


d=sqrt%28232%29 Add 196 to 36 to get 232.


d=2%2Asqrt%2858%29 Simplify the square root.


So our answer is d=2%2Asqrt%2858%29


Which approximates to d=15.232


So the distance between the two points is approximately 15.232 units.