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]
2 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]2 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
So I don’t really understand this so yeh pls help *pic included* by the way this is volume of cubes and cuboids and the question
faust18 [17]

Answer:

A2: 4*4*4 = 64 cm³; 6*6*6 = 216 cm³; etc...

B2: 7*4.5*4 = 126 cm³; 10.5*6*2 = 126 cm³; etc...

Step-by-step explanation:

So in A2 you have cubes, so l=b=h, and only one has to be given, called the "length of side".

In B2 they are different, hence there are 3 rows with l, b and h. But still you multiply them l x b x h

3 0
2 years ago
Is 12 a prime or composite? (Can someone clearly explain what a prime and composite are?)
inn [45]
12 is a composite number.

Composite Number-A whole number that can be divided evenly by numbers<span> other than 1 or itself.

Prime Number- </span> A Prime Number<span> can be divided evenly only by 1, or itself. </span>
5 0
2 years ago
Read 2 more answers
The graph shows the function<br><img src="https://tex.z-dn.net/?f=%20y%20%3D%20%7Bq%7D%5E%7Bx%7D%20" id="TexFormula1" title=" y
Alex777 [14]

Answer:

Step-by-step explanation:

Graph in the picture represents,

y = qˣ

a). Point of intersection of the curve with the y-axis → (0, 1)

b). Since, this graph passes through (1, 4)

    By substituting values in the equation,

    4 = q¹

    q = 4

c). Value of y when x = 10,

   y=4^{10}

   y = 1048576

5 0
2 years ago
Mr. Thompson has been asked to partition some space in a garage for storage. He estimates 6 square feet per individual will be r
gogolik [260]
The garage is 1800 sq feet.
4 0
3 years ago
Read 2 more answers
You want to frame a picture that is 5 in by 7 in with a 1 in wide frame. What is the perimeter of the outside edge of the frame?
r-ruslan [8.4K]
94 if your using the whole frame the math is 5×7=35 we have 2 sides do times 35 by 2 35×2=70 then we do 1×7=7 for the outside of the game then do 7 times 2 b/c you have 2 sides the do your final side by doing 5×1=5 then times that by 2 and you get 10 .70+14+10=94
4 0
3 years ago
Other questions:
  • Answer and get brainliest
    10·1 answer
  • Please help asap 25 pts
    9·2 answers
  • The price p of a pizza is $6.50 plus $0.75 for each of the t toppings on the pizza
    7·1 answer
  • 12 people can be of 30 chairs in eight hours how many chairs candy people build in 100 hours
    15·1 answer
  • Orly uses 2 cups of raisins for every 8 cups of trial mix she makes. How many cups of trail mix will she make if she uses 12 cup
    7·1 answer
  • Photo attached! 10 points! Thank you in advance!!
    15·2 answers
  • 10 is 50% of what number?
    13·2 answers
  • 6 divided by 885 what is the answer?
    7·2 answers
  • When the diameter is two what is the radius of a cylinder?
    10·2 answers
  • PLEASE HELP ME ILL PAY YOU!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!