SOLUTION: Please help me solve this Find the distance between the points: (2,0) and (3,-3).

Algebra ->  Number-Line -> SOLUTION: Please help me solve this Find the distance between the points: (2,0) and (3,-3).      Log On


   

Question 388685: Please help me solve this

Find the distance between the points:
(2,0) and (3,-3).
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=0.
Also, is the second point . So this means that x%5B2%5D=3 and y%5B2%5D=-3.


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%282-3%29%5E2%2B%280--3%29%5E2%29 Plug in x%5B1%5D=2, x%5B2%5D=3, y%5B1%5D=0, and y%5B2%5D=-3.


d=sqrt%28%28-1%29%5E2%2B%280--3%29%5E2%29 Subtract 3 from 2 to get -1.


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


d=sqrt%281%2B%283%29%5E2%29 Square -1 to get 1.


d=sqrt%281%2B9%29 Square 3 to get 9.


d=sqrt%2810%29 Add 1 to 9 to get 10.


d=1%2Asqrt%2810%29 Simplify the square root.


So our answer is d=sqrt%2810%29


Which approximates to d=3.162


So the distance between the two points is approximately 3.162 units.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim