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svp [43]
3 years ago
13

Which is an equation for the circle with a center at (-2, 3) and a radius of 3?

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

(x+2)^2 +(y-3)^2 = 9

Step-by-step explanation:

(x-h)^2 +(y-k)^2 = r^2

Where (h, k) is the center of the circle

And r is the radius of the circle.

Hope this helps.

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Simplify the exponential equation.
swat32

Answer: h.

Step-by-step explanation:

h^{-1}*h^5*h^{-3}=\\h^{-1+5+(-3)}=\\h^{-1+5-3}=\\h^1=\\h.

4 0
2 years ago
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Which expression is equivalent to (-8) - (-2)
gregori [183]

Answer:

-6

Step-by-step explanation:

-8  - (-2)

A negative negative is a positive

-8+2

-6

7 0
3 years ago
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EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
A village experienced 2% population growth, compounded continuously, each year for 10 years. At the end of the 10 years, the pop
pantera1 [17]

Answer:

The initial population at the beginning of the 10 years was 129.

Step-by-step explanation:

The population of the village may be modeled by the following function.

P(t) = P_{0}e^{rt}

In which P is the population after t hours, P_{0} is the initial population and r is the growth rate, in decimal.

In this problem, we have that:

P(10) = 158, r = 0.02.

So

158 = P_{0}e^{0.02*10}

P_{0} = 158*e^{-0.2}

P_{0} = 129

The initial population at the beginning of the 10 years was 129.

6 0
3 years ago
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Please help meee I’m dont understand geometry please help me thank you
Dvinal [7]

Answer:

1) A,B,F,D

2)A,E,B,C

3)B,F,C,D

4)A,B,D,F

7 0
4 years ago
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