PLS HELP In the figure below MNO = PQR. Determine the lengh of QR.

A) 14
B) 9
C) 12
D) 3

C) 12

Step-by-step explanation:

Since triangles MNO and PQR are congruent to each other, then their respective line segments are congruent to each other as well.

So since MO is congruent to PR, we can solve for y:

2y+3=21

2y=18

y=9

Also, since MN is congruent to PQ, we can solve for x:

10=4x-2

12=4x

3=x

x=3

QR is the sum of x and y, so the sum would be 3+9=12, therefore, the length of QR is C) 12

triangle and cube

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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