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3 years ago

15

X^2-12x+36=0

2 answers:

earnstyle [38]3 years ago

8 0

Hello,

x^2-12x+36=0

This form of a equation is a perfect square trimonial that requires not to just be 6 but both answers being six.

Hope This Helps!

kari74 [83]3 years ago

6 0

This expression is a perfect square trinomial. It has two answers but they don't have to be different. In this case it has to be the same - because it is a perfect square trinomial.

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Answer:

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Step-by-step explanation:

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Read 2 more answers

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Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

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$\frac{dy}{dt}=-k\sqrt{y}$

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Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

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Integrate

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Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

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$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

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So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

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Answer:

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2 years ago