A comet following a hyperbolic path about the Sun has a perihelion of 80 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the​ orbit, the comet is 288 Gm from the Sun. Calculate​ a, b,​ c, and e. What are the coordinates of the center of the Sun if the center of the hyperbolic orbit is​ (0,0) and the Sun lies on the positive​ x-axis?

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)

146

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