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Pie
3 years ago
9

A rectangle's width is 5 feet less than its height. If the area of the rectangle is 564 square feet, what is its length, in feet

?
Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.

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\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)

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\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}

\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}

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Therefore the slope of tangent at point (1,-2) is \frac{2}{3}.

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