What is this celestial body called

Suppose that x and y are both differentiable functions of t and are related by the given equation. use implicit differentiation with respect to t to determine startfraction dy over dt endfraction in terms of x, y, and startfraction dx over dt endfraction .

Tom drove 206 miles in 3.9 hours. estimate his average speed.

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5