SOLUTION: how do I begain to find the distance between each pair of points. (-5,-2) and (-7,-1)

Algebra ->  Radicals -> SOLUTION: how do I begain to find the distance between each pair of points. (-5,-2) and (-7,-1)       Log On


   

Question 374153: how do I begain to find the distance between each pair of points.
(-5,-2) and (-7,-1)
Found 2 solutions by jim_thompson5910, rfer:
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=-5 and y%5B1%5D=-2.
Also, is the second point . So this means that x%5B2%5D=-7 and y%5B2%5D=-1.


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%28-5--7%29%5E2%2B%28-2--1%29%5E2%29 Plug in x%5B1%5D=-5, x%5B2%5D=-7, y%5B1%5D=-2, and y%5B2%5D=-1.


d=sqrt%28%282%29%5E2%2B%28-2--1%29%5E2%29 Subtract -7 from -5 to get 2.


d=sqrt%28%282%29%5E2%2B%28-1%29%5E2%29 Subtract -1 from -2 to get -1.


d=sqrt%284%2B%28-1%29%5E2%29 Square 2 to get 4.


d=sqrt%284%2B1%29 Square -1 to get 1.


d=sqrt%285%29 Add 4 to 1 to get 5.


So our answer is d=sqrt%285%29


Which approximates to d=2.236


So the distance between the two points is approximately 2.236 units.


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

Also, feel free to check out my tutoring website

Jim

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
you use a form of the Pythagorem therom
d=sqrt((-7--5)^2+(-1--2)^2)
d=sqrt((-2)^2+(1)^2)
d=sqrt(4+1)
d=2.236