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
yanalaym [24]
3 years ago
10

The equation of a circle is x^2+y^2-12y+27=0

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

The equation in graphing form:

(x-h)^2+(y-k)^2=r^2

Use: (*)\ a\pm b)^2=a^2\pm2ab+b^2

x^2+y^2-12y+27=0\\\\x^2+y^2-2\cdot y\cdot6+27=0\\\\x^2+\underbrace{y^2-2\cdot y\cdot6+6^2}_{(*)}-6^2+27=0\\\\x^2+(y-6)^2-36+27=0\\\\x^2+(y-6)^2-9=0\ \ \ \ |+9\\\\x^2+(y-6)^2=9

Answer: d) x^2+(y-6)^2=9

You might be interested in
Write an equation in slope-intercept form of the line that passes through the given points.(3,5) and (0,4) please answer with al
alukav5142 [94]

Answer:

Y = (1/3)X + 4  

Step-by-step explanation:

You need to know the equation Y = mX + b, for two sets of coordinates

Therefore we need to find the slope and the interception of the given points.

1) The slope of the line

We can use the point slope form, and clear for the slope m

y - y1 = m (x-x1)

m = (y -y1) / (x -x1)

The data given is: A (3, 5) and B (0, 4)

Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)

m = 1/3

2) Find the interception

From the general  equation slope intercept  Y = mX + b, clear b

b = Y - mX

Now substitute any given point to obtain b the interception

b = Y - mX

Lets choose point A (3, 5), remember m = 1/3

b =5 - (1/3)(3)= 4

b = 4

3) Therefore with the values of m and b, the general equation for the slope intercept form is:

Y = mX + b   -->  

Y = (1/3)X + 4  

7 0
3 years ago
1cm 8cm 4cm: surface area
valkas [14]

Answer:

Perimeter of Triangle sum of all sides.

=13 cm

6 0
2 years ago
Read 2 more answers
What is the quotient and remainder of 26 divided by4
Sphinxa [80]

Answer:

6 with a remainder of 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP 100 POINTS<br> write an equation of the horizontal line that passes through (-7,-10)
Vedmedyk [2.9K]

Answer:

y + 10 = 0

Step-by-step explanation:

Slope of horizontal line is zero (0)

m = 0

By point slope form of a line.

y-y_1 =m(x - x_1) \\  \\ y - ( - 10) = 0 \{x - ( - 7) \} \\  \\ y + 10 = 0 \{x + 7\} \\  \\y + 10 = 0 \\  \\

5 0
2 years ago
Read 2 more answers
Last year, a construction worker had a gross income of 29,700 of which he contributed 7% to his 401 (k) plan. If he got paid mon
BaLLatris [955]
0.07(29700)/12 = 173.25
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 4/3 divided by 1/6
    15·2 answers
  • ****THE BEST ANSWER GETS BRAINLIEST!****
    5·1 answer
  • Find the exact value of tan ^-1 (-root of 3)<br> Write your answer in radians in terms of n.
    8·1 answer
  • What is 5 pi over 4 radians in degrees?
    6·2 answers
  • Find the sum of two consecutive odd numbers is 56 find the numbers
    5·1 answer
  • Brenda invests $4,848 in a savings account with a fix annual interest rate of 5% compounded 2 times per year.what will the accou
    7·1 answer
  • Need help with this ASAP PLZ
    10·1 answer
  • Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
    14·1 answer
  • Given sin A=-√3/2 and tan A &gt;0, find cos A.<br><br> PLEASE HURRY AND SHOW WORK
    5·1 answer
  • Solve this and I'll give you brainliest!​<br>thank you!!!​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!