Use the division property of equality to solve for x in the equation in number 12

Number 12:
3 tan 6 = x tan 10 – x tan 6
3 tan 6 = x(tan 10 – tan 6)

Substitute the value of x into the equation in number 7 and solve for a

Number 7:
Tan 10 = a/x → x tan 10 = a/x * x → a = x tan 10

Step-by-step explanation:

Divide everything in the equation by tan 6

Then add 1 to both sides

divide by tan 10

Then plug that into

which is

Simplifies to 4

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

50-60=10

step-by-step explanation: