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Zigmanuir [339]
3 years ago
12

How do perform the equation x-(4x-2y)-5y

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

-3x - 7y

Step-by-step explanation:

x - (4x - 2y) - 5y

x - 4x - 2y - 5y

Combine like terms

x - 4x = -3x

-2y - 5y = -7y

Now, we have our final answer:

-3x - 7y

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fomenos
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4 years ago
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A particle moves along the curve below. y = √ 8 + x 3 As it reaches the point ( 1 , 3 ) , the y -coordinate is increasing at a r
Dmitry [639]

Answer:

<em>The x-coordinate is changing at 10 cm/s</em>

Step-by-step explanation:

<u>Rate of Change</u>

Suppose two variables x and y are related by a given function y=f(x). If they both change with respect to a third variable (time, for instance), the rate of change of them is computed as the derivative using the chain rule:

\displaystyle \frac{dy}{dt}=\frac{dy}{dx}\cdot \frac{dx}{dt}

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Or, equivalently

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We need to know the rate of change of x respect to t. We'll use implicit differentiation:

\displaystyle 2y\cdot \frac{dy}{dt}=3x^2\cdot \frac{dx}{dt}

Solving for dx/dt

\displaystyle \frac{dx}{dt}=\frac{2y\cdot \frac{dy}{dt}}{3x^2}

Plugging in the values x=1, y=3, dy/dt=5

\displaystyle \frac{dx}{dt}=\frac{2(3)\cdot 5}{3\cdot 1^2}=10

The x-coordinate is changing at 10 cm/s

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3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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