SOLUTION: Find the distance between (-4, 0) and (-5,-3)...My solution is sqrt of 10 Am I right??Thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the distance between (-4, 0) and (-5,-3)...My solution is sqrt of 10 Am I right??Thanks      Log On


   

Question 87354: Find the distance between (-4, 0) and (-5,-3)...My solution is sqrt of 10 Am I right??Thanks
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%28-4--5%29%5E2%2B%280--3%29%5E2%29 Plug in x%5B1%5D=-4, x%5B2%5D=0, y%5B1%5D=-5, y%5B2%5D=-3

d=sqrt%28%281%29%5E2%2B%283%29%5E2%29 Subtract -4--5 to get 1. Subtract 0--3 to get 3.

d=sqrt%281%2B9%29 Square each value

d=sqrt%2810%29 Add each value

d=sqrt%2810%29 Simplify the square root


Which approximates to

d=3.16227766016838
So the distance between (-4,0) and (-5,-3) is about 3.16227766016838


So you are correct