Where does the normal line to the paraboloid z = x 2 + y 2 at the point (1 , 1 , 2) intersect the paraboloid a second time?

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

With #! i’ve tried to figure it out but i can’t.

Polygon hh is a scaled copy of polygon gg using a scale factor of 1/4. polygon h's area is what fraction of polygon g's area?