You are fitting a new kitchen and measure the following lengths of pipe. subtract the shortest length from the longest. 0.81 m 1.08 m 0.8 m 180 cm 18 cm

Subtracting the shortest length from the longest gives:

162 cm

We are given the length of the pipes as follows:

0.81 m 1.08 m 0.8 m 180 cm 18 cm

We have to subtract the shortest length from the longest.

firstly we convert each of the length of pipes into cm

We know that 1 m=100 cm

0.81 m=81 cm

1.08 m=108 cm

0.8 m=80 cm

Longest length=180 cm

smallest length=18 cm

so, 180-18=162

Hence, subtracting the shortest length from the longest gives:

162 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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