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marin [14]
3 years ago
7

Find me equation of the circle with Center at ( 3, - 2) and radius of 3

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

The equation of a circle with center (x_0,y_0) and radius r is

(x-x_0)^2+(y-y_0)^2=r^2

In your case,

x_0=3,\quad y_0=-2,\quad r=3

Plug these values into the generic formula and you'll get your equation.

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What is the equivalent ratio of 9 to 12? <br>​
liraira [26]

Answer:

3:4

Step-by-step explanation:

divide 9 by 3 and 12 by 3

7 0
4 years ago
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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
4 years ago
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HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
stich3 [128]

Answer:

\frac{1}{2}

Step-by-step explanation:

Calculate the slope of the line m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m = \frac{-2-2}{1+1} = \frac{-4}{2} = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2}

4 0
3 years ago
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of serv
joja [24]
The answer is true im 90% sure
8 0
3 years ago
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Twelve ounces of Brand X costs $1.50. Sixteen ounces of Brand Y cost $1.92. Find the unit price of each.​
Nezavi [6.7K]
Brand X is around 12-13 cents per ounce (12/1.50=.125) and Brand Y would be exactly 12 cents (16/1.92=12)
8 0
3 years ago
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