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nekit [7.7K]
4 years ago
9

A rectangular closet had a perimeter of 20 feet and a width of 3 feet. find the diagonal.

Mathematics
1 answer:
Masja [62]4 years ago
5 0
Use the Pythagorean theorem when you draw the diagonal in the rectangle. When you draw the diagonal you create 2 right triangles and there for you can use a^2+b^2=c^2
20^2+3^2=c^2
400+9=c^2
409=c^2
Take the square root of 409 to get 20.224
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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
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Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

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Our answer is x = 7

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