SOLUTION: Find the distance between the point. (3,4)and(4,5)

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Question 174188This question is from textbook algebra 1
: Find the distance between the point.
(3,4)and(4,5) This question is from textbook algebra 1

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%283-4%29%5E2%2B%284-5%29%5E2%29 Plug in x%5B1%5D=3, x%5B2%5D=4, y%5B1%5D=4, and y%5B2%5D=5.


d=sqrt%28%28-1%29%5E2%2B%284-5%29%5E2%29 Subtract 4 from 3 to get -1.


d=sqrt%28%28-1%29%5E2%2B%28-1%29%5E2%29 Subtract 5 from 4 to get -1.


d=sqrt%281%2B%28-1%29%5E2%29 Square -1 to get 1.


d=sqrt%281%2B1%29 Square -1 to get 1.


d=sqrt%282%29 Add 1 to 1 to get 2.


So our answer is d=sqrt%282%29


Which approximates to d=1.414


So the distance between the two points is approximately 1.414 units.