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
notka56 [123]
3 years ago
5

The equation of a circle in general form is ​x2+y2+20x+12y+15=0​ .

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

(x +10)^2 + (y+6)^2 = 121

Step-by-step explanation:

Given equation :

                        x^2 + y^2 + 20x +12y + 15 = 0

Standard equation of circle :

                                            (x - a)^2 + (y-b)^2 = r^2

We will consider the x terms in the equation first to find a.

(x-a)^2 = x^2 - 2ax + a^2

-2ax = 20x

a = -20x/2x = -10

a = -10

Next consider the y terms to find b.

(y - b)^2 = y^2 -2by + b^2

-2by = 12y

b = -12y /2y = -6

b = -6

(x+10)^2 + (y-6)^2 = x^2 +20x +100 + y^2 +12y + 36

                             =x^2 + y^2 + 20x +12y + 136\\

But the given equation constant is 15. So find the difference between 136 and 15 to find the radius : 136 - 15 = 121

Therefore, radius = √121 = 11

<em><u>Equation in standard form : </u></em>

                                         (x +10)^2 + (y+6)^2 = 121

You might be interested in
Please Help And NO LINKS OR U BE REPORTED!
Elis [28]

Answer:

I believe your answer is B

4 0
3 years ago
Mrs Cobb makes and sells her own apple-cranberry juice. In pitcher A, she mixed 4
meriva
If you put them into fractions you get 4/3 and 3/2

Now let's give them the same denominator.

3*2=6 and vice versa

So let's multiply the numerators by the same numbers

4/3= 8/6

And 3/2 = 9/6

The second fraction has more parts cranberry so....
She you should ask for 3 cranberry cubes and 2 Apple cubes!
5 0
3 years ago
Penelope is going to the carnival to ride the rides. It costs $20 to get into the
Dimas [21]

Answer:

35=0.5x+20

Step-by-step explanation:

y=mx+b

35= money you can spend

0.5= cost of each ride

x=number of rides you ride

20= price to enter

5 0
3 years ago
Write a unit rate word problem. Please include the solution.
yanalaym [24]

Answer:

bob goes 28 miles in 2 hours while traveling to the store. how many miles does he drive per hour. the answer is 14 miles per hour

3 0
2 years ago
Solve the equation. Two-thirds x = negative one-half x + 5 What is the first step to isolate the variable term on one side of th
FinnZ [79.3K]

Answer:

add 1/2x to both sides

multiply both sides by 6/7

3 0
3 years ago
Read 2 more answers
Other questions:
  • If the APY of a savings account is 2.5%, and if the principal in the savings account was $2000 for an entire year, what will the
    6·1 answer
  • 4 4/8 + 3/4 what is the answer
    5·2 answers
  • 10/3 = X/ -5/2 X=_ please help me
    9·1 answer
  • I need help ASAP please help me
    12·1 answer
  • A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
    11·1 answer
  • Utilize as propriedades das potências e resolva 2⁴ * 2⁷ * 2⁵​
    5·1 answer
  • 7x + 15 = 12x + 5 <br> Solve with multiple operations
    11·2 answers
  • if the solar system formed similarly to this star system , what would yoy expect to see if you observed the sun? would you expec
    6·1 answer
  • Please help me with this, thanks guys
    15·2 answers
  • Write the slope-intercept form of the equation of each line.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!