What is the maximum number of possible solutions for the system shown
below?

х2 – 4у2 = 16
x2+y2 = 36

А. 2
B. 4
C. 3
D. 1

4

Step-by-step explanation:

х^2 – 4у^2 = 16 is the equation of a hyperbola with center at the origin.  Parts of this graph show up in all four quadrants.

Similarly, x^2 + y^2 = 36 is the equation of a circle with center at the origin); the graph shows up in all four quadrants.

So there is an intersection of the graphs in all four quadrants.  Therefore, 4 is the maximum number of possible solutions of the system shown.

answer: the first graph

step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80