1. Find the intersection points of the following pairs of objects. (Where you have square roots, you can leave your answers in square root form - you don't need to evaluate to demical approximations.) (20) a. The line y = 2x + 7 and the circle x + y = 40. b. The parabola y = x + 4 and parabola y = -x - 3 1 and the circle x + y = 1. I y c. The hyperbola + 25 d. The circle (x - 2) + y = 4 and the circle parabola x = y. 2. How many ways can two hyperbolae intersect? You may assume both are oriented to open along the same axis. Draw some examples, but you do not need to provide equations for your examples. (6)