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Andrew [12]
3 years ago
11

SOMEONE PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!!!!

Mathematics
2 answers:
yulyashka [42]3 years ago
5 0
2(5x^2+2x)+2(3x^2)
10x^2+4x+6x^2
16x^2+4x

D is the correct answer.
vredina [299]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The length, in feet, of a rectangular rug is represented by the expression 5x^2 + 2x.. The width, in feet, is represented by the expression 3x^2.

The perimeter of the rectangle is

P=2\text{ lengths}+2\text{ widths}.

Thus, the perimeter is

P=2(5x^2+2x)+2\cdot 3x^2=10x^2+4x+6x^2=16x^2+4x.

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\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4

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