SOLUTION: Find y so the distance between (7,y) and (3,3) is {{{sqrt(13)}}}

Algebra ->  Graphs -> SOLUTION: Find y so the distance between (7,y) and (3,3) is {{{sqrt(13)}}}      Log On


   

Question 121525: Find y so the distance between (7,y) and (3,3) is sqrt%2813%29
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between two points is given by,
D%5E2=%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
13=%287-3%29%5E2%2B%28y-3%29%5E2%29
13=16%2B%28y-3%29%5E2%29
%28y-3%29%5E2=-3%29
You cannot square a number and get a negative value.
Therefore, there is no solution for y such that the distance is sqrt%2813%29.