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Sindrei [870]
2 years ago
9

Area of the rectangle is given by the polynomial function A(x)=2x^2+18x. If the width of the rectangle is 2x what is the length?

Mathematics
1 answer:
Allushta [10]2 years ago
7 0

Answer:

x + 9

Step-by-step explanation:

Area = 2x^2 + 18x

Width = 2x

Length = ?

The relationship between these quantities is;

Area = Length * Width

Length = Area / Width

Length = (2x^2 + 18x) / 2x

Using long division;

2x\sqrt{2x^{2}  + 18x}

This leads to;

length = x + 9

Checking;

Area = Length * Width

Area = (x + 9) * 2x

Area = 2x^2 + 18x ; This is correct!

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QveST [7]

Answer:

\frac{5}{-8} or -0.625

Step-by-step explanation:

The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

We can have A = (x_{1},y_{1}) and B = (x_{2},y_{2}).

We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

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2 years ago
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Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

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So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

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Answer:

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Step-by-step explanation:

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