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
Llana [10]
3 years ago
5

The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:

Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Step-by-step explanation:

Given equation of circle is,

{x}^{2}  +  {y}^{2}  - 6y - 12 = 0 \\ by \: compairing \: it \: with \:   \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f=  - 6 \\ or \: f=  - 3 \\ c =  - 12

again the another form of circle is,

{x}^{2}  +  {(y - k)}^{2}  = 21 \\ or \:  {x}^{2}  + {y}^{2}  - 2ky +  {k}^{2}  - 21 = 0 \\ by \: compairing \:it \: with \:  \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get  \\ g = 0 \\f =  - k \\ c =  {k}^{2}  - 21

now equating the values of f in both equations,

-k=-3

i.e. k=3

therefore k=3

You might be interested in
How many pennies are in a tower with a height of 0 cm
Yuri [45]
There would be no pennies
4 0
3 years ago
PLEASE ANSWER FAAST!! A car wheel has a diameter of 20.8 inches. About how far does the car travel in 5 rotations?
SCORPION-xisa [38]

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Need help with this math question <br>will give 5 stars and mark best<br>​
Stolb23 [73]
I used similarities in triangles

5 0
2 years ago
Jill earns a salary of $425.00 per week, plus a commission of 20% on all sales. last week she sold $1,123 worth of goods. how mu
antiseptic1488 [7]
She was paid 649.60 because 20% of $1,123 is %224.6
8 0
3 years ago
Read 2 more answers
Is x^(-2)+5 a polynomial expression? Why or why not?
Lynna [10]

Answer:

it is not because a polynomial cannot have a negative power

3 0
3 years ago
Other questions:
  • Tell which number is greater 27/50,27%
    11·1 answer
  • Please show working for these 2 questions.
    13·1 answer
  • ) How many milliliters are equal to 4 liters?
    7·2 answers
  • What is a mathematical sentence that contains an equal sign
    14·1 answer
  • What is the measure of the missing angle?
    9·2 answers
  • The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t
    15·1 answer
  • What is the answer I need help?
    12·1 answer
  • Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons
    11·1 answer
  • Cost price = $780. Selling price = $707.85. Find the loss as a percentage of the cost price.
    13·1 answer
  • Which of the following is a rational number?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!