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
Select the graph of g(x) = |-2х + 6|<br> can someone tell me if this is right
Sauron [17]

Answer:

no

Step-by-step explanation:

the graph should be facing up.

6 0
3 years ago
Read 2 more answers
Determine the value of cos 79º 15' (cosine of 79 degrees, and 15 minutes). In this case, minutes are 1/60 of a degree.
yKpoI14uk [10]

Answer:

A. 0.186524036

Step-by-step explanation:

Cosine 79° 15'

But, 1° = 60'

Thus; 15' = 15/60 = 0.25°

Therefore;

cos 79° 15' = cos 79.25°

Cos 79.25° = 0.186524036

                  = 0.186524036

8 0
3 years ago
What is the sum of interior angles of a convex nonagon
zmey [24]
A nonagon has 9 sides, so n = 9

S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260

Answer is choice B
8 0
3 years ago
If x and y vary directly and x=25 when y=100 find x when y=24.<br> PLEASE HELP FASTTTTTTT
Veseljchak [2.6K]

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

6 0
3 years ago
Difference of two exponential random variables
torisob [31]
The difference would be subtracting the variables and the dividing the difference by 2

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with this question on my homework, please help me.
    11·1 answer
  • Lines a and b are parallel.<br><br> What is the measure of angle m?<br><br> m = \degree
    9·1 answer
  • Volunteers were 3/4 finished with the walkathon when they reached the 4 1/2 kilometer mark.How long was the walkathon
    15·1 answer
  • What weight would give a newborn a z-score of<br> -0.75? I grams<br> DONE<br> 2 of 6
    13·2 answers
  • Please help me, I need a math expert
    10·1 answer
  • Evaluate the dot product of (3,-1) and (1,5).<br><br> Answer here
    6·1 answer
  • A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas tha
    10·1 answer
  • Enter a rational number that is equivalent to -24/4
    15·2 answers
  • Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3
    13·1 answer
  • Need help!! This is due before 1:00 please help ASAP!!! Will give brainliest!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!