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
Explain how to model the division of -20 by -5 on a number line.
Elina [12.6K]
So you label -20 on the number line. Then you split it into -5 and count much space is in between the <em>'split'.</em>
4 0
2 years ago
What is the equation of the line that has a slope of -6 and passes through the point (-1,3)
tangare [24]

Answer:

-2,9

Step-by-step explanation:

Dont want to explain too long

8 0
2 years ago
Stacy thinks her employer may not be withholding the correct amount from her paychecks for state income tax. She made arrangemen
lyudmila [28]
The answer is B) <span>Stacy’s employer is withholding too little for state income tax. 

Stacy's state income tax withholding should be:
163.88 x 19% = $31.14, which is less than $24.58</span>
4 0
3 years ago
Enter the value for X that makes the equation 1/2 (4x-8) + 3x = 36 true
aksik [14]

Answer:

  • x = 8

Step-by-step explanation:

<u>Solve for x:</u>

  • 1/2 (4x - 8) + 3x = 36
  • 2x - 4 + 3x = 36
  • 5x - 4 = 36
  • 5x = 40
  • x = 40/5
  • x = 8

8 0
2 years ago
Read 2 more answers
Rearrange the word theet
jonny [76]

Answer: The word rearranged could be teeth.

:)

5 0
2 years ago
Read 2 more answers
Other questions:
  • The graph of the equation y= 1
    8·1 answer
  • 5x-11=3x+5 solve for ”x”
    10·1 answer
  • 5 cups to 7.5 cups<br><br> What is the percent change? Explain
    15·1 answer
  • Tim is buying paper cups and plates. Cups come in a package of 12 and plates come in a package of 10. He must buy the same numbe
    7·1 answer
  • 1. Write this translation rule in symbols: 2 units to the right and 3 down.
    12·1 answer
  • 8/10 equals blank over 100
    10·2 answers
  • A 180 ​-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
    8·1 answer
  • Please answer this correctly
    9·2 answers
  • In
    5·1 answer
  • How many lakhs are there in 2 millions?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!