A=16.7
B=17
C=23
D=7

17

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:  , where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).

Steps:

-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation:    (the c is the same as x, just letting you know)

-Then, simplify the equation to get:   (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)

-Add the 225 and 64 to get:  

-Find the square root of both sides to get x by itself:  

-Evaluate the equation to get:   which simplifies to

17

Hope you understand and that this helps with your question! :)

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

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! : )

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