Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0

Answers

Answer 1

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

Answer 2

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.


Related Questions

Find the area of the triangle

Answers

Answer:

5/2 units²

Step-by-step explanation:

Area of triangle = 1/2 x base x altitude => 1/2 x 5 x 1=> 5/2

Conclusion:

Therefore, the area of the triangle is 5/2 units².

Hoped this helped.

[tex]GeniusUser[/tex]

Help: Whats 8-2x=10?

Answers

Answer:

x=-1

Step-by-step explanation:

8-2x=10

(8-2x)-8=10-8

-2x=2

-2x/-2=2/-2

x=-1

Aaron ran 2 1/4 miles in 20 minutes. Based on this , how fast is he running one mile ?

Answers

Answer: Aaron is running 8 minutes and 53 seconds per mile.

Help I’m timed!
Which expression is a polynomial?

Answers

Answer:

The second option

Step-by-step explanation:

The second option is a 5-term polynomial

Hope this helps

Given f(x)=x2-1/x+4 find f(-3)

Answers

f(-3)=(-3)2 - 1 / -3 + 4
f(-3)= -6 -1 / -3 + 4
f(-3)= -7/1
f(-3)=-7

A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set?

Answers

Answer:

-19

Step-by-step explanation:

-20 + 55 + 10 + -15 = 30

30 - 11 = 19

-19

Identify the parent function. 5 -5 5 -5 A. Cube root​

Answers

The answer is:

A.) Square Root

nvmnvmnvmvnmvnmvnvnmvv

Answers

Answer:

ur right

Step-by-step explanation:

The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.

Answers

Answer:

The man's son height is 1.5m

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]

[tex]\frac{21x1.8}{25.2}[/tex]

21x1.8= 37.8

37.8 ÷ 25.2= 1.5

Hope this helps

sorry if i got it wrong

what does a discrete quantitative variable mean?

Answers

Answer:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval)

Step-by-step explanation:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation. Examples of discrete quantitative variables are number of needle punctures, number of pregnancies and number of hospitalizations.

Helppppp please quick

Answers

Answer:

a≥11

Step-by-step explanation:

Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.

I WILL GIVE BRAINLEST PLAESE HURRY I HAVE 10 MIN
Launch Problem


Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


If Melanie ran once a day, how many days did she run?

Answers

Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.

Find the mean of the data

Answers

Answer:  6.282

Explanation:

Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.

Once we know the xf values, we add them up to get 245.

We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.

So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282

Notice that this mean value is fairly close to the x value which has the highest frequency.

Which decimal is less than 0.12 and greater than 0.008?

Answers

Answer:

Too many examples.

You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.

Here are some examples between 0.12 and 0.008:

0.10.0650.580.07830.119

9. Belinda makes 5 gallons of fruit punch per day. How many gallons will she make in a week?​

Answers

Answer:

35 gallons

Step-by-step explanation:

one week = 7 days

5 gallons per day

one week = 7 days * 5 gallons

= 35 gallons in a week

hello, please help me thanks:)​

Answers

Step-by-step explanation:

2x + 5y

first add 2 and 5

and join x and y and it

answer is 2+ 5

=7 and x+y = xy

it axle answer is

= 7xy

NO LINKS!!

Which type of comic does not have vertices or foci? ​

Answers

Answer:

  b) Circle

Step-by-step explanation:

All of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.

__

A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.

Directions on a box of 5 cups of wallpaper paste are to mix the contents with 4 qt of water. To mix a smaller batch using 1 cup of paste, how much water (in ounces) should be added? note that 1qt=32oz​

Answers

Step-by-step explanation:

For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.

hope that help you

Find the surface area of the rectangular prism.
6 yd
2 yd
7yd

Answers

Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136

Identify the first five terms of the sequence in which a1 = 3 and an = 4an−1− 5 for n ≥ 2.

Answers

Step-by-step explanation:

a1 = 3

an = 4an-1 - 5

a2 = 4×3 - 5 = 12 - 5 = 7

a3 = 4×7 - 5 = 28 - 5 = 23

a4 = 4×23 - 5 = 92 - 5 = 87

a5 = 4×87 - 5 = 348 - 5 = 343

Answer:

3, 7, 23, 87, 343

Step-by-step explanation:

Using the recursive rule and a₁ = 3 , then

a₂ = 4a₁ - 5 = 4(3) - 5 = 12 - 5 = 7

a₃ = 4a₂ - 5 = 4(7) - 5 = 28 - 5 = 23

a₄ = 4a₃ - 5 = 4(23) - 5 = 92 - 5 = 87

a₅ = 4a₄ - 5 = 4(87) - 5 = 348 - 5 = 343

2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answers

Answer:

20

Step-by-step explanation:

Knowing that it is a 30-gallon bathtub.

And it fills at a rate of 3 gallons per minute.

But also drains 1.5 gallons per minute.

So this is for the first minute.

3 - 1.5 = 1.5

So there will be 1.5 gallons of water in the tub after the first minute.

Now do,

30 ÷ 1.5 = 20

It will take 20 full minutes for the bathtub to fill up.

Need help a lot stuck

Answers

Answer:

yes, sounds linear.

this is an mx + b scenario.

here's the model:

y = )3/1)x + 50

or

y = 3x + 50

where the 1 in the slope denominator is a square foot.

152 feet in 16 seconds

Answers

Answer:

I'm not sure what you're asking but that is 9.5 feet per second.

Step-by-step explanation:

152÷16=9.5

Answer:

if you are asking about the unit rate it is 9.5 feet per second

Step-by-step explanation:

You just have to do 152/16

hope this helps

5) Solve 5 - 2x < 7.
A) x < -1
B) x>-1
0x<-12
D) X > -12

Answers

Answer:

i think B. x>-1 is answer

Step-by-step explanation:

good luck

5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise

Answers

Answer:

5.32

Step-by-step explanation:

it had a more exact reading than the others

If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000

Answers

Answer:

462,000

Step-by-step explanation:

300,000+150,000+12,000=462,000

Answer:

Step-by-step explanation:

The absolute value of | – 71 – 19 – 18% is -16.
TRUE
FALSE

Answers

Answer: False i think

Step-by-step explanation:

What is the value of y?

Answers

Answer:

80° because 50° 60° 70° and 80°

!!SOMEBODY PLEASE HELP ME OUT!!

What is the slope of the line??​

Answers

Answer:

i think it's -1 / -1

nut i'm not sure so if its wrong then sorry , and don't thank's me...


Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

Answers

Answer:

Step-by-step explanation:

20x + 40y = 61 this is the equation for the first party

30x + 30y = 64.50 this is the equation for the second party.

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