SOLUTION: For the point P(4,20) and Q(9,23)​, find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ. What is the distance? (Simplify your answer. Type

Algebra ->  Length-and-distance -> SOLUTION: For the point P(4,20) and Q(9,23)​, find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ. What is the distance? (Simplify your answer. Type      Log On


   

Question 1068635: For the point P(4,20) and Q(9,23)​, find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ. What is the distance? (Simplify your answer. Type an exact​ answer, using radicals as​ need.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The midpoint is the average of the coordinates,
x%5Bm%5D=%284%2B9%29%2F2=13%2F2
y%5Bm%5D=%2820%2B23%29%2F2=43%2F2
Use the distance formula,
D%5E2=%284-9%29%5E2%2B%2820-23%29%5E2=%28-5%29%5E2%2B%28-3%29%5E2=25%2B9=34
D=sqrt%2834%29