SOLUTION: find the distance between (-2,9) and (-5,15) a)45.02 b) 6.17 c)24.18 d) 18.67

Algebra ->  Radicals -> SOLUTION: find the distance between (-2,9) and (-5,15) a)45.02 b) 6.17 c)24.18 d) 18.67      Log On


   

Question 316994: find the distance between (-2,9) and (-5,15)
a)45.02
b) 6.17
c)24.18
d) 18.67
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The difference in x is 3.
In y it's 6.
d+=+sqrt%283%5E2+%2B+6%5E2%29+=+sqrt%2845%29
d =~ 6.708

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=-2 and y%5B1%5D=9.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=15.


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%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, and y%5B2%5D=15.


d=sqrt%28%283%29%5E2%2B%289-15%29%5E2%29 Subtract -5 from -2 to get 3.


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


d=sqrt%289%2B%28-6%29%5E2%29 Square 3 to get 9.


d=sqrt%289%2B36%29 Square -6 to get 36.


d=sqrt%2845%29 Add 9 to 36 to get 45.


d=3%2Asqrt%285%29 Simplify the square root.


So our answer is d=3%2Asqrt%285%29


Which approximates to d=6.708


So the distance between the two points is approximately 6.708 units.