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
dusya [7]
3 years ago
9

Convert the circle to standard form.

%20%20%2B%2018x%20%2B%209y%20-%2036%20%3D%200" id="TexFormula1" title=" {9x}^{2} + {9y}^{2} + 18x + 9y - 36 = 0" alt=" {9x}^{2} + {9y}^{2} + 18x + 9y - 36 = 0" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows:  x^2 + 2x

Start with x^2 + 2x

1.  Take half of the coefficient of x, which results in 2/2, or 1

2.  Square this result and add it to, and subtract it from x^2 + 2x

     x^2 + 2x + 1 - 1

3.  Rewrite the first three terms as the square of a binomial:  

     x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.

You might be interested in
CHILL OUT WITH THE "ASAP" "HURRY" "PLEASEEEEEEEE" I'M GETTING TO AS MANY AS I CAN
finlep [7]

Answer:

1120479037157389478073281965092374871290432

Step-by-step explanation:

have a great day

3 0
2 years ago
Read 2 more answers
I need help with solving a system of equations using elimination
Nataliya [291]

Answer:

do it your self.

Step-by-step explanation:

7 0
2 years ago
The area of a dollhouse is 1248 square inches the width of the room is 8 inches how long is the room
Marat540 [252]
The length of the dollhouse room is 156. Because you take the 1248 and divide by the 8. Which then gives you 156. To verify this answer, you would multiply 156 by 8 and you should get the answer 1248. so the length of the room is 156.
8 0
3 years ago
Read 2 more answers
In this activity, you're going to write a SUMMARY paragraph for this lesson over Measuring and Graphing Motion. In your summary,
Alinara [238K]

Answer:

Answer

Did u put any picture because i think there should be a picture

6 0
3 years ago
Which statement about the best estimation strategy for this problem is correct?
Degger [83]
Selection B is the best choice.

_____
Ms Levy paid for 1 hotel room at ~ $200, and 2 tickets at ~ $100 each.
8 0
3 years ago
Other questions:
  • JACOB WALKS 70.4 FEET IN 0.2 HOUR. IF HE WALKS AT THE SAME RATE THE WHOLE TIME, WHAT IS HIS SPEED IN FEET PER HOUR?
    12·1 answer
  • Chicago to Memphis is 527.4 miles Memphis to New Orleans is 393.8. How far is Chicago to new movie orleans
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%2860%29%20%2B%20%280.07%29%20%20%5Ctimes%20%280.15%29" id="TexFormula1" title="(60) + (0.07)
    7·1 answer
  • 4.537 to the nearest hundred ​
    6·1 answer
  • Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
    7·1 answer
  • Need help to understand how to calculate problems.
    13·1 answer
  • A group of campers set up 32 tents. The tents were arranged in groups of 4. Every 12 campers occupied a group of 4 tents. How ma
    10·1 answer
  • A triangle has angle measurements of 72°, 101°, and 7° What kind of triangle is it?
    7·2 answers
  • Set up a proportion and solve for x.
    13·1 answer
  • Simplify -3/2 * 9/6<br><br> A. -4<br> B. -1<br> C. 4<br> D. 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!