In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity x plus 16 end quantity squared over 400 plus y squared over 144 equals 1 and Comet H is modeled by quantity x minus 13 end quantity squared over 144 minus y squared over 25 equals 1 comma where all measurements are in astronomical units.

Part A: What are the vertices for the path of Comet E? Show your work. (4 points)

Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)