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2 years ago

The line represented by the equation y=-3/2x is translated up 3 units.

Mathematics

1 answer:

kati45 [8]2 years ago

8 0

Answer:

(0, 3)

Step-by-step explanation:

In slope intercept form, the y-intercept is the "b" or, in an example:

y = mx + b

- m is the slope

- b is the y-intercept

In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.

Have a nice day!

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- Heather

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3 years ago

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Answer:

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Step-by-step explanation:

Given:

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$\dfrac{dh}{dt} = -6\ in/sec$

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To find:

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Solution:

First of all, let us have a look at the formula for Volume:

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Differentiating it w.r.to 't':

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)$

Let us have a look at the formula:

$1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))$

$3.\ \dfrac{dx^n}{dx} = nx^{n-1}$

Applying the two formula for the above differentiation:

$\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}$

Now, putting the values:

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So, the answer is: $\approx \bold{6544\ in^3/sec}$

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Can I have a little help on how to do this?

IgorC [24]

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