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olganol [36]
4 years ago
15

F(x) = √(9 - x)

Mathematics
1 answer:
IgorLugansk [536]4 years ago
8 0
You're correct.

\bf y=\sqrt{9-x}\implies \stackrel{inverse}{x=\sqrt{9-y}}\implies x^2=9-y\implies y=9-x^2
\\\\\\
\cfrac{dy}{dx}=0-2x^1\implies \cfrac{dy}{dx}=-2x
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<em>The surface area of the larger prism is 4 times the surface area of the smaller prism. </em>

<em />

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<em>Let the dimension of one side of the smaller prism be: l and w</em>

<em>Let the dimension of one side of the bigger prism be: L and W</em>

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So, we have:

L = 2l

W =2w

The area of these corresponding sides are:

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A_1 = lw

While, the area of the second is:

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The ratio of these two sides are:

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<em>This gives</em>

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Ratio = 1 : 4

Express as fractions

Ratio = \frac 14

Also, we have:

Ratio = \frac{Small}{Large}

This gives

\frac{Small}{Large} = \frac 14

Cross multiply

Large = 4 \tiimes Small

Large =  4\4Small

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Read more about areas at:

brainly.com/question/6465134

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