SOLUTION: For the points P and Q do the following. (a) Find the distance d(P,Q) (b) Find the coordinates of the midpoint M of the segment PQ p(5√(3),7√(5)), Q(&#8730

Algebra ->  Coordinate-system -> SOLUTION: For the points P and Q do the following. (a) Find the distance d(P,Q) (b) Find the coordinates of the midpoint M of the segment PQ p(5√(3),7√(5)), Q(&#8730      Log On


   

Question 567864: For the points P and Q do the following.
(a) Find the distance d(P,Q)
(b) Find the coordinates of the midpoint M of the segment PQ
p(5√(3),7√(5)), Q(√(3),-√(5))
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
5sqrt(3) 7sqrt(5) Sqrt(3) -sqrt(5)
d= -sqrt%28%28%285%29-7sqrt%285%29%29%5E2%2B%28sqrt%283%29-5sqrt%283%29%29%5E2%29%29
d= sqrt%28%28-8sqrt%285%29%29%5E2%2B%28-4sqrt%283%29%29%5E2%29
d= sqrt%28%28320%2B48%09%29%29
d= sqrt%28368%29
d=19.1
use the mid point formula
M :%28%28x1%2Bx2%29%2F2%29%28%28y1%2By2%29%2F2%29