SOLUTION: Find the length of the following segment created by these pairs of endpoints: (0,1),(6,6)

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Question 338272: Find the length of the following segment created by these pairs of endpoints:
(0,1),(6,6)
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=1.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=6.


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%280-6%29%5E2%2B%281-6%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=6, y%5B1%5D=1, and y%5B2%5D=6.


d=sqrt%28%28-6%29%5E2%2B%281-6%29%5E2%29 Subtract 6 from 0 to get -6.


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


d=sqrt%2836%2B%28-5%29%5E2%29 Square -6 to get 36.


d=sqrt%2836%2B25%29 Square -5 to get 25.


d=sqrt%2861%29 Add 36 to 25 to get 61.


So our answer is d=sqrt%2861%29


Which approximates to d=7.81


So the distance between the two points is approximately 7.81 units.


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

Also, feel free to check out my tutoring website.

Jim