A billiard ball is struck by a cue. It travels 100\,\text{cm}100cm100, start text, c, m, end text before ricocheting off a rail and traveling another 120\, \text{cm}120cm120, start text, c, m, end text into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45^{\circ}45
∘
45, degrees.
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.

50

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

table 3 represents a direct variation function. : )

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.