Derive the equation of the porabola with a focus at (-5,-5) and a directrix of y=7

2f(x)= x+3 if 4 < x < 8 2x if x 28 2

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.

X– 4 = 12.5 can be written in words as