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Schach [20]
3 years ago
15

Write the equation of the circle with center (2, -3) and a radius of 4.

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0
C(h,k) radius(r)
C(2,-3) r=4

(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y--3)^2 = 4^2
(x-2)^2 + (y+3)^2 = 16

therefore, the answer is D
zhannawk [14.2K]3 years ago
6 0

Answer:

(D) is the answer i just took the quiz on usatestprep

Step-by-step explanation:

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3 years ago
If 8 times a number is added to twice the​ number, the result is 60. the solution is
Andrei [34K]

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10   /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

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2 years ago
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3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

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

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

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

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
3 years ago
Perform the indicated operation. Simplify the result in factored form.
guajiro [1.7K]

Answer:

\frac{3(a - 7)}{4x(a - 4)}

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