SOLUTION: find the distance between the points. Round your answer to the nearest tenth A(5, -7), B(0, 5)

Algebra ->  Triangles -> SOLUTION: find the distance between the points. Round your answer to the nearest tenth A(5, -7), B(0, 5)      Log On


   



Question 109312: find the distance between the points. Round your answer to the nearest tenth
A(5, -7), B(0, 5)

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%285-0%29%5E2%2B%28-7-5%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=0, y%5B1%5D=-7, y%5B2%5D=5

d=sqrt%28%285%29%5E2%2B%28-12%29%5E2%29 Evaluate 5-0 to get 5. Evaluate -7-5 to get -12.

d=sqrt%2825%2B144%29 Square each value

d=sqrt%28169%29 Add

d=13 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (5,-7) and (0,5) is 13 units