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JulsSmile [24]
2 years ago
5

Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0

Mathematics
1 answer:
bearhunter [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

x^2+y^2+2gx+2fy+c = 0

The centre is at (-g, -f)

Given the equation'

9x²+9y²+18x-12+10=0

Divide through by 9

9x²/9+9y²/9+18x/9-12y/9+10/9=0

x^2+y^2+2x-4/3 y + 10/9 = 0

Compare

2gx = 2x

g = 1

2fy = -4/3 y

2f = -4/3

f = -4/6

f = -2/3

The centre is (-(-2/3), -1) = (2/3, -1)

for the radius

r = √f²+g²-c

r =√(-2/3)²+1²-10

r =√4/9 - 9

r = √(4-81)/9

r = √-77/9

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What is the measure of angle Q to the nearest whole degree?<br> 43°<br> 49°<br> 53°<br> 58°
geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

cos^{-1}Q = 0.604

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

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3 years ago
If N = 34, what is 7 - N?
Gre4nikov [31]
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4 0
3 years ago
Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d
myrzilka [38]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number  <em>and</em> the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are <u>independent</u> events because the probability of A happening does not influence the occuring of event B.

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3 years ago
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