The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.

8 0

2 years ago

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A certain cylindrical tank holds 20,000 gallons of water which can be drained from the bottom of the tank in 20 minutes the volu

zalisa [80]

Given that the volume of water remaining in the tank after t minutes is given by the function

$V(t)=20,000\left(1- \frac{t}{20} \right)^2$

where V is in gallons, 0 ≤ t ≤ 20 is in minutes, and t = 0 represents the instant the tank starts draining.

The rate at which water is draining four and a half minutes after it begins is given by

$\left.
 \frac{dV}{dt} \right|_{t=4 \frac{1}{2} = \frac{9}{2} 
}=\left[40,000\left(1- \frac{t}{20} \right)\left(- \frac{1}{20} 
\right)\right]_{t= \frac{9}{2} } \\ \\ =\left[-2,000\left(1- 
\frac{t}{20} \right)\right]_{t= \frac{9}{2} }=-2,000\left(1- 
\frac{4.5}{20} \right) \\ \\ =-2,000(1-0.225)=-2,000(0.775)=-1,550\, 
gallons\ per\ minute$

Therefore, the water is draining at a rate of 1,550 gallons per minute four ans a half minutes after it begins.

Answer option E is the correct answer.

4 0

2 years ago