SOLUTION: IF POINT M IS (8,7)AND POINT n IS 3,5) FIND THE DISTANE BETWEEN M ADN N OR IN OTHER WORDS, FIND mMN. can you show the steps on how to solve this problem. thanks

Algebra ->  Length-and-distance -> SOLUTION: IF POINT M IS (8,7)AND POINT n IS 3,5) FIND THE DISTANE BETWEEN M ADN N OR IN OTHER WORDS, FIND mMN. can you show the steps on how to solve this problem. thanks      Log On


   

Question 210251: IF POINT M IS (8,7)AND POINT n IS 3,5) FIND THE DISTANE BETWEEN M ADN N OR IN OTHER WORDS, FIND mMN.
can you show the steps on how to solve this problem.
thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If I'm getting this right, you just want the distance from (8,7) to (3,5) right?


Note: is the first point . So this means that x%5B1%5D=8 and y%5B1%5D=7.
Also, is the second point . So this means that x%5B2%5D=3 and y%5B2%5D=5.


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%288-3%29%5E2%2B%287-5%29%5E2%29 Plug in x%5B1%5D=8, x%5B2%5D=3, y%5B1%5D=7, and y%5B2%5D=5.


d=sqrt%28%285%29%5E2%2B%287-5%29%5E2%29 Subtract 3 from 8 to get 5.


d=sqrt%28%285%29%5E2%2B%282%29%5E2%29 Subtract 5 from 7 to get 2.


d=sqrt%2825%2B%282%29%5E2%29 Square 5 to get 25.


d=sqrt%2825%2B4%29 Square 2 to get 4.


d=sqrt%2829%29 Add 25 to 4 to get 29.


So our answer is d=sqrt%2829%29


Which approximates to d=5.385


So the distance between the two points (8,7) and (3,5) is approximately 5.385 units.