SOLUTION: find the distance of (-3,-2) and (1,4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the distance of (-3,-2) and (1,4)      Log On


   

Question 87846: find the distance of (-3,-2) and (1,4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

d=sqrt%28%28-3-1%29%5E2%2B%28-2-4%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=1, y%5B1%5D=-2, y%5B2%5D=4

d=sqrt%28%28-4%29%5E2%2B%28-6%29%5E2%29 Evaluate -3-1 to get -4. Evaluate -2-4 to get -6.

d=sqrt%2816%2B36%29 Square each value

d=sqrt%2852%29 Add
Which approximates to

d=7.21110255092798

So the distance between (-3,-2) and (1,4) is about 7.21110255092798