SOLUTION: x2 + y2 ≤ 9 x − y > 0 Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.)

Algebra ->  Rational-functions -> SOLUTION: x2 + y2 ≤ 9 x − y > 0 Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.)      Log On


   



Question 917605:
x2 + y2 ≤ 9
x − y > 0
Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
blue%28x%5E2%2By%5E2%3C=9%29<--->blue%28x%5E2%2By%5E2%3C=3%5E2%29 means all the points at a distance of 3 or less from the origin.
That means all the points inside the circle centered at the origin, with radius 3 (including the circumference).
x-y%3E0 includes all the points to one side of the line
green%28x-y=0%29<--->green%28y=x%29 , but not the points on the line y=x .
So, you could say that the vertices are the points P%283sqrt%282%29%2C3sqrt%282%29%29 and Q%28-3sqrt%282%29%2C-3sqrt%282%29%29 ,
but those points are not part of the solution.
The solution is the area inside the lines in the graph below,
plus the blue boundary lines (but not the green line).