SOLUTION: find the distance between (-2,9) and (-5,15) a- 6.71 b- 18.67 c- 45.02 d- 24.18

Algebra ->  Radicals -> SOLUTION: find the distance between (-2,9) and (-5,15) a- 6.71 b- 18.67 c- 45.02 d- 24.18      Log On


   

Question 88000: find the distance between (-2,9) and (-5,15)
a- 6.71
b- 18.67
c- 45.02
d- 24.18
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%28-2--5%29%5E2%2B%289-15%29%5E2%29 Plug in x%5B1%5D=-2, x%5B2%5D=-5, y%5B1%5D=9, y%5B2%5D=15

d=sqrt%28%283%29%5E2%2B%28-6%29%5E2%29 Evaluate -2--5 to get 3. Evaluate 9-15 to get -6.

d=sqrt%289%2B36%29 Square each value

d=sqrt%2845%29 Add
Which approximates to

d=6.70820393249937

So the distance between (-2,9) and (-5,15) is about 6.70820393249937

So the answer is A)