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Semmy [17]
3 years ago
13

What is the circumference of the circle defined by x^2+6x +y^2-12y-4=0.

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

44.0

Step-by-step explanation:

Mark me as brainliest

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Θ is in Quadrant III and cos^2 0= 1/4
pychu [463]
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
7 0
3 years ago
Evaluate the logarithm.
eimsori [14]

Answer:

x \approx 0.954

Step-by-step explanation:

The logarithm is evaluated as follows:

x = 2\cdot \log 3

x = \log 3^{2}

x = \log 9

The value of the logarithm can be estimated by means numeric methods, which can be easily used on calculators (i.e. Macaulay Series)

x \approx 0.954

8 0
3 years ago
What is the standard form of this expression? (4y-9)(2y-3)
Setler [38]

Answer:

-22y+27

Step-by-step explanation:

(4y-9)(2y-3)

<u>Distribute:</u>

8y-12y-18y+27

<u>Combine like terms:</u>

8y-12y-18y=-22y

-22y+27

3 0
3 years ago
What is the area of the polygon below in square units?<br> 4 cm<br> 12 cm<br> 18 cm
stepan [7]
There is no polygon there
8 0
2 years ago
(5a^2+6a+2)-(7a^2-7a-5)
krok68 [10]

For this case we must simplify the following expression:(5a^ 2 + 6a + 2) - (7a^ 2-7a-5) =

We eliminate the parentheses taking into account that:

- * + = -\\- * - = +

So:

5a ^ 2 + 6a + 2-7a ^ 2 + 7a + 5 =

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

5a ^ 2-7a^2 + 6a + 7a +2 +5 =\\-2a ^ 2 + 13a + 7

Answer:

-2a ^ 2 + 13a + 7

8 0
3 years ago
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