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worty [1.4K]
4 years ago
6

Line perpendicular to y= -2x+8

Mathematics
1 answer:
rosijanka [135]4 years ago
5 0
And line with the slope of 1/2 so y=1/2 + 3
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The area of the red part is greater than the area of the blue part.
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ol McDonald would like to build a pin for his favorite pig horse and cow he needs to enclose a rectangular plot of land into thr
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The area of the pen is the products of its dimensions

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  • The maximum area of the pen is 36000 square feet.

Let the dimension of the fence be x by y.

So, we have:

<em />\mathbf{2x + 5y = 1200}<em> --- perimeter</em>

<em />\mathbf{Area =xy}<em> -- area</em>

<em />

Subtract 5y from both sides of \mathbf{2x + 5y = 1200}

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\mathbf{x = \frac{1200 - 5y}{2}}

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\mathbf{Area = \frac{1200 - 5y}{2} \times y}

\mathbf{Area = \frac{1200y - 5y^2}{2}}

Split

\mathbf{Area = 600y - \frac{5}{2}y^2}

Differentiate

\mathbf{A' = 600 -5y}

Set to 0

\mathbf{600 -5y = 0}

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\mathbf{5y = 600}

Divide both sides by 5

\mathbf{y = 120}

Substitute \mathbf{y = 120} in \mathbf{x = \frac{1200 - 5y}{2}}

\mathbf{x = \frac{1200 - 5 \times 120}{2}}

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\mathbf{x = \frac{600}{2}}

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\mathbf{Area =xy}

So, we have:

\mathbf{Area = 300 \times 120}

\mathbf{Area = 36000}

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Read more about maximum areas at:

brainly.com/question/11906003

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Using the distributive property, it is found that the equivalent expression is:

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<h3>What is the distributive property?</h3>

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