SOLUTION: Find the distance between (-3, -2) and (1, 4)...Am I doing this right, to keep it short my answer is 2 sqrt of 5 am I right?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the distance between (-3, -2) and (1, 4)...Am I doing this right, to keep it short my answer is 2 sqrt of 5 am I right?      Log On


   

Question 87357: Find the distance between (-3, -2) and (1, 4)...Am I doing this right, to keep it short my answer is 2 sqrt of 5 am I right?
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%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=-2, y%5B1%5D=1, y%5B2%5D=4

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

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

d=sqrt%2852%29 Add each value

d=2%2Asqrt%2813%29 Simplify the square root


Which approximates to

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