1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AysviL [449]
3 years ago
6

What is the center and radius of the circle? * x^2+ y^2+ 4y + 4 = 36

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Answer:

(0, - 2 ), r = 6

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Rearrange the given equation collecting the terms in y together, that is

x² + y² + 4y + 4 = 36 ( subtract 4 from both sides )

x² + y² + 4y = 32

Use the method of completing the square on the y- terms

add ( half the coefficient of the y- term)² to both sides

x² + y² + 2(2)y + 4 = 32 + 4

x² + (y + 2)² = 36 ← in standard form

with (h, k ) = (0, - 2 ) and r² = 36, thus

centre = (0, - 2 ) and r = \sqrt{36} = 6

You might be interested in
27.3% of as fraction
Kruka [31]

Answer:

273/1000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at
Ugo [173]

The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

  • P(worried) = 0.35

  • Number of people surveyed = 3

Since the probability of being worried is independent ;

  • Probability = P(A) × P(B) × P(C)

The probability that all 3 surveyed are worried :

  • P(worried) × P(worried) × P(worried)
  • (0.35 × 0.35 × 0.35) = 0.1225

Therefore, the probability that all three people surveyed are worried is : 0.1225

Learn more : brainly.com/question/18153040

5 0
2 years ago
What is the main difference between investing and saving?
SashulF [63]

Answer:

B.) Investing has the risk of losing principal, whereas saving does not.

Step-by-step explanation:

Saving can be accomplished a number of ways, including putting the money in a cookie jar (where it will not earn interest). Most savings institutions (banks, credit unions, and the like) are governed by rules that help to ensure the availability and safety of the balance. Often, such institutions are insured so that depositors are protected against loss of principal.

Many investment opportunities are governed by no such rules. The invested amount may be unavailable for perhaps a lengthy period of time, and any return on the investment may be dependent upon factors not under the control of the party accepting the money. There is the opportunity for complete loss of the invested amount, and the possibility of incurring additional liability in some cases.

Investment in certificates that are traded on a regulated exchange will be subject to the exchange rules, generally including the requirement that the investor be fully informed of the risks. That doesn't mean there is no risk—it just means the investor is supposed to be made aware of it.

5 0
3 years ago
Please Please help me.
AURORKA [14]

Answer:

3

Step-by-step explanation:

Factorial means multiply that number and all numbers below it

3! = 3*2*1 = 6

0! =1

2! = 2*1 = 2

1! =1

6*1

------

2*1

6/2 =3

8 0
3 years ago
Someone PLSSS HELPPP fast plsss !!!
Delicious77 [7]
5a^10-2 I’m pretty sure that’s the right answer
4 0
3 years ago
Other questions:
  • Suppose that 7 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at ra
    10·1 answer
  • 0.092 -0.12s +0.04 = 0​
    8·1 answer
  • Find roots of 4x^2-2x+9
    15·1 answer
  • 427 diveided by 3 do you have any aneswerers
    15·2 answers
  • The National Health Interview Survey, which included a questionnaire administered during in-person interviews with 21,781 adults
    10·1 answer
  • 2x-y+8z=13<br>3x+4y+52=18<br>5x-2y-72=20​
    15·2 answers
  • I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five studen
    14·1 answer
  • I built a toy model of my car that is 15 inches long.If my actual car is 20 feet long.What is the scale distance between the toy
    14·1 answer
  • The sum of three counting number is 72.<br> and the numbers.
    15·2 answers
  • What is the type of sequence and the common difference/ratio for question 11
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!