SOLUTION: how do you find the distance between the two points? g(5,6) h(9,0) do you use the midpoint formula? m=ysub2 - ysub1 all over xsub2 - xsub1 because that what i use?

Algebra ->  Points-lines-and-rays -> SOLUTION: how do you find the distance between the two points? g(5,6) h(9,0) do you use the midpoint formula? m=ysub2 - ysub1 all over xsub2 - xsub1 because that what i use?      Log On


   

Question 120550: how do you find the distance between the two points? g(5,6) h(9,0) do you use the midpoint formula? m=ysub2 - ysub1 all over xsub2 - xsub1 because that what i use?
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%285-9%29%5E2%2B%286-0%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=9, y%5B1%5D=6, y%5B2%5D=0

d=sqrt%28%28-4%29%5E2%2B%286%29%5E2%29 Evaluate 5-9 to get -4. Evaluate 6-0 to get 6.

d=sqrt%2816%2B36%29 Square each value

d=sqrt%2852%29 Add

d=2%2Asqrt%2813%29 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)


So the distance approximates to

d=7.21110255092798

which rounds to
7.21

So the distance between (5,6) and (9,0) is approximately 7.21 units