SOLUTION: Find the distance to the nearest hundredth between the points (11,-6) and (-1,-2) Please explain how this is done, I have several of these on a worksheet and I donot understand th

Algebra ->  Linear-equations -> SOLUTION: Find the distance to the nearest hundredth between the points (11,-6) and (-1,-2) Please explain how this is done, I have several of these on a worksheet and I donot understand th      Log On


   

Question 89146: Find the distance to the nearest hundredth between the points (11,-6) and (-1,-2)
Please explain how this is done, I have several of these on a worksheet and I donot understand them.
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 where is the first point and is the second point

d=sqrt%28%2811--1%29%5E2%2B%28-6--2%29%5E2%29 Plug in x%5B1%5D=11, x%5B2%5D=-1, y%5B1%5D=-6, y%5B2%5D=-2

d=sqrt%28%2812%29%5E2%2B%28-4%29%5E2%29 Evaluate 11--1 to get 12. Evaluate -6--2 to get -4.

d=sqrt%28144%2B16%29 Square each value

d=sqrt%28160%29 Add

d=4%2Asqrt%2810%29 Simplify the square root


Which approximates to

d=12.6491106406735

which rounds to
12.65

So the distance between (11,-6) and (-1,-2) is about 12.65