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
Serhud [2]
3 years ago
7

Find the center and the radius of the circle with the equation: x2+6x+y2+4y+12=0

Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

centre = (- 3, - 2) , radius = 1

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

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

You might be interested in
1.
Levart [38]

Answer: 7

Step-by-step explanation: its correct, trust me

6 0
2 years ago
Read 2 more answers
Find an ordered pair that is a solution to the equation.
AveGali [126]

Answer:

(x,y) = (4,1)

Step-by-step explanation:

-4+5\cdot 1 = 5-4 =1

3 0
2 years ago
Read 2 more answers
Brainly do ur magic pls.?
jok3333 [9.3K]

1. 3y

multiplying 3 and y together gets 3y

2. y-5

5 less implies that we subtract 5 from y

3. y+7

adding 7 to y, self-explanatory

4. 9y

same thing as #1

5. \frac{y}{8}

quotient of implies division, since number y is listed first, y is the numerator

8 0
3 years ago
Help me please ASAP!!!!
nydimaria [60]

Answer:

i need this too

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I REALLY NEED HELP FAST PLEASE !!
fiasKO [112]

Answer:

C: √768

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Classify this traingle
    10·2 answers
  • Slope = 4/3, (-2, 11)
    9·1 answer
  • The shadow of a building is 40 ft. long. The angle between the ground and the line to the sun is 35°. Draw a diagram and find th
    9·1 answer
  • PLEASE PLEASE PLEASE HELP ME PLEASE
    13·2 answers
  • Hurry i need the answers quick!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Ana starts work at 2:45pm and finshes work at 5:30pm .How much times does Ana spend working
    8·1 answer
  • Examine the steps used to solve the equation.
    9·2 answers
  • Free Póints for all ​
    14·2 answers
  • A company has two manufacturing plants with daily production levels of 5x+17 items and 3x - 4
    5·1 answer
  • HELPP PLEASE!!!! I have a screenshot of the question because I cant copy and paste it!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!