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RoseWind [281]
3 years ago
5

A rectangular rug has an area of 1 4/5 square yards. The width of the rug is 1 1/2 yards. What is the length,in yards,of the rug

? Show your work.
Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

1.2

Step-by-step explanation:

If you multiply the length by the width to find area, then you can divide the area by the width to find the length.


1\frac{4}{5} ÷ 1\frac{1}{2} = 1.2

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Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2
SVETLANKA909090 [29]

Answer:

slope = - \frac{\sqrt{3} }{3}

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y \frac{dy}{dx} = 0

2y \frac{dy}{dx} = - 2x

\frac{dy}{dx} = - \frac{2x}{2y} = - \frac{x}{y}

\frac{dy}{dx} is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2\sqrt{3} ⇒ y = ± 2\sqrt{3}

using x = - 2, y = - 2\sqrt{3}, then

\frac{dy}{dx} = - \frac{1}{\sqrt{3} } = - \frac{\sqrt{3} }{3}


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Answer:

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so we have to do the same to the numerator

5 x 7 = 35

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