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vlada-n [284]
4 years ago
15

Arrange the steps in the expansion of the binomial (3x+2y)^3 in the correct sequence.

Mathematics
1 answer:
Andreas93 [3]4 years ago
5 0
(3x + 2y)³

(3x + 2y)(3x + 2y)(3x + 2y)

27x³ + 18x²y + 18x²y + 12xy² + 18x²y + 12xy² + 12xy² + 8y³

27x³ + 54x²y + 36xy² + 8y³
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A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5
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A parabolà can be drawn given a focus of (7,9) and a
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keeping in mind the vertex is half-way between these two fellows, Check the picture below.

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h = 7\\ k = 7\\ p = 2 \end{cases}\implies 4(2)(y-7)=(x-7)^2\implies 8(y-7)=(x-7)^2 \\\\\\ y-7=\cfrac{1}{8}(x-7)^2\implies \boxed{y=\cfrac{1}{8}(x-7)^2+7}

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3 years ago
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