SOLUTION: what is the distance between 5,-2 and -3,4?

Algebra ->  Radicals -> SOLUTION: what is the distance between 5,-2 and -3,4?      Log On


   

Question 452761: what is the distance between 5,-2 and -3,4?
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=5 and y%5B1%5D=-2.
Also, is the second point . So this means that x%5B2%5D=-3 and y%5B2%5D=4.


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%285--3%29%5E2%2B%28-2-4%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=-3, y%5B1%5D=-2, and y%5B2%5D=4.


d=sqrt%28%288%29%5E2%2B%28-2-4%29%5E2%29 Subtract -3 from 5 to get 8.


d=sqrt%28%288%29%5E2%2B%28-6%29%5E2%29 Subtract 4 from -2 to get -6.


d=sqrt%2864%2B%28-6%29%5E2%29 Square 8 to get 64.


d=sqrt%2864%2B36%29 Square -6 to get 36.


d=sqrt%28100%29 Add 64 to 36 to get 100.


d=10 Take the square root of 100 to get 10.


So our answer is d=10


So the distance between the two points is 10 units.