△bcd is a right triangle. the length of the hypotenuse is 22 cm. the length of one of the legs is 18 cm. what is the length of the other leg? enter your answer in the box as a decimal rounded to the nearest tenth.

Use the Pythagorean Theorem to solve for the missing leg.

a² + b² = c²   ; where "a" and "b" are the legs and "c" is the hypotenuse

18² + b² = 22²

        b² = 22² - 18²

        b² = 484 - 324

        b² = 160

        b = 40

40 cm

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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