How many solutions does this system of equations have?

a; exactly one.

b; exactly two.

c; infinitely many.

d; none.

Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of diet soda. two cans were randomly selected from this 12 pack. what is the probability that both cans were regular soda?

What’s the volume of the triangular prism?

Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 ? 4x + 12y ? 20 = 0 (x ? 6)2 + (y ? 4)2 = 56 x2 + y2 + 6x ? 8y ? 10 = 0 (x ? 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y ? 15 = 0 (x + 2)2 + (y + 3)2 = 18 5x2 + 5y2 ? 10x + 20y ? 30 = 0 (x + 1)2 + (y ? 6)2 = 46 2x2 + 2y2 ? 24x ? 16y ? 8 = 0 x2 + y2 + 2x ? 12y ? 9 = 0