What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?

(–12, –2)
(–6, –1)
(6, 1)
(12, 2)

Answers

Answer 1

Answer:

(6,1)

Step-by-step explanation:

Just look for the terms with x and y in them. Divide their coefficients by two, and multiply by -1. And then put them in an ordered pair.

So in this case, -12x --> 6 and -2y --> 1

Obviously the more orthodox way would be to actually complete the square, but I'm lazy, this way is faster, and since this seems to be multiple choice, as long as you have the correct answer, it shouldn't matter.

Answer 2

The required centre will be at (6,1)

Equation of a circle

The standard equation of circle is expressed as:

x^2+y^2+2gx+2fy+c = 0

where (-g, -f) is the centre of the circle

Given the equation x^2 + y^2 – 12x – 2y + 12 = 0

Compare with the general to have;

2gx = -12x

g = -6

2fy = -2y

y = -1

Since centre is at (-g, -f), hence the required centre will be at (6,1)

Learn more on equation of a circle here: https://brainly.com/question/14150470


Related Questions

Find the endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (−2,−2)

Midpoint: (4,0)

Answers

Answer:

Endpoint A (10,2)

Step-by-step explanation:

                A(x,y)

Endpoint (-2,-2)

Midpoint (4,0)

(-2+x)/2=4,  -2+x=8,  x=8+2,x=10

(-2+y)/2=0, -2+y=0,y=2

so A (10,2)

1/5x+1/3=4/3 what’s the answer

Answers

Answer:

X=5

Step-by-step explanation:

4/3-1/3=1

1  /   1/5x = 5

joe bbq sells bbq by the pound michelle buys 8.75 worth of sides and then she get six pounds of bbq if her total was is 40. 55 how much was each pound of bbq

Answers

First, we need to set up an equation.

6x + 8.75 = 40.55

Then, we use the equation to solve for how much a pound of BBQ costs.

To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.

6x = 40.55 - 8.75

6x = 31.8

Next, we divide both sides by 6 to get the value of x.

6x/6 = x

31.8/6 = 5.3

Lastly, add the correct unit.

$5.3.

Therefore, the price per pound of BBQ is $5.30

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the angle

Answers

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

reciprocal of -2/3^6

Answers

Answer:

The answer is -729/2

Step-by-step explanation:

A farmer plants corn in 1/4 of his field.He plants white corn 3/5 of the corn section of his field.This situation is show in the model. What fraction of the whole field with white corn?

Answers

Answer:

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Step-by-step explanation:

The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:

[tex]x = \frac{1}{4} \times \frac{3}{5}[/tex]

[tex]x = \frac{1 \times 3}{4 \times 5}[/tex]

[tex]x = \frac{3}{20}[/tex]

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Lena has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Lena just saw a sign that said the park is 10 miles away, so the drive is almost over. If Lena's father drives 50 miles per hour, how many more minutes will it take to reach the park

Answers

Answer:

it will take her family 12 minutes

Step-by-step explanation:

i hope this helps

7 identical toys weigh 1.4 kg.
a) Convert 1.4 kg to grams.
b) What is the weight of one toy?
Give your answer in grams.
c) How much would 3 toys weigh?
Give your answer in grams.

Answers

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams

An amount of $37,000 is borrowed for 6 years at 5% interest, compounded annually. If the loan is paid in full at the end of the period, how much must be paid back?
Rounded answer please

Answers

Answer:  49583.54 dollars

==============================================================

Work Shown:

P = 37000 is the principal (aka amount loaned out)

r = 0.05 is the interest rate in decimal form

t = 6 is the number of years

n = 1 tells us we are compounding 1 time per year (aka annual compounding)

Those four values are plugged into the formula below and you use a calculator to simplify

A = P*(1+r/n)^(n*t)

A = 37000*(1+0.05/1)^(1*6)

A = 49583.538703125

A = 49583.54 is the full amount to pay back

Side note:

The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height​

Answers

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

[tex]v = 1.54 \: l[/tex]

[tex]v = 1540 \: {cm}^{3} [/tex]

[tex]v = \pi \times {r}^{2} \times h[/tex]

Let πr² be 77,

Let v be 1540,

[tex]1540 = 77 \times h[/tex]

[tex]77h = 1540[/tex]

[tex]h = 1540 \div 77[/tex]

[tex]h = 20 \: cm[/tex]

What type of function is represented in the table?

Answers

Answer:

quadratic

Step-by-step explanation:

just took it on edge

Adam drove 280 miles in 4 hours. On average, how fast did he drive in hours per
mile

Answers

Answer:

He drove 70 mph.

Step-by-step explanation:

You would divide 280 by 4.

The solids are similar. Find the surface area S of the red solid.


Answers

Answer:

Surface area of the red prism is 1344 m².

Step-by-step explanation:

Ratio of the sides of the rectangular prisms given in the picture

= [tex]\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}[/tex]

= [tex]\frac{6}{3}[/tex]

= [tex]\frac{2}{1}[/tex]

Ratio of the surface area of both the solids = (Ratio of the sides)²

[tex]\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}[/tex] = [tex](\frac{2}{1})^{2}[/tex]

[tex]\frac{x}{336}=\frac{4}{1}[/tex]

x = 4 × 336

x = 1344 square meter

Therefore, surface area of the red prism will be 1344 m².

Summer school issues help meeded asap

Answers

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

Which chart could represent the function f(x)=-2x+6

Answers

Answer:

I think that answer is (4).

Explanation:

Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.

I hope I helped you! Please mark me brainliest if I am correct. Thanks!

Answer:

option 4

Step-by-step explanation:

Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

Answer:

y= -1/3x+3

Step-by-step explanation:

Old homework answers.

what is the eighth multiple of 12​

Answers

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

the eighth multiple of 12 is 96

What the volume for each problem.Need help asap.

Answers

Answer:

See Below

Step-by-step explanation:

Pyramid of Gyza:

Base: 227m * 227m

Height: 150m

V=(LWH)/3

V=(227*227*150)/3

V= 7,729,350/3

V=2, 576,450 m^3

Temple of Kukulkan

Base: 55.7*55.7

Height: 29

V=(LWH)/3

V=(55.7*55.7*29)/3

V=89,972.21/3

V= 29,990.736 m^3

Find the missing angle x.

a.540°
b. 377°
c. 121°
d. 163°

Answers

Answer:

163°

...............

Answer:

163

Step-by-step explanation:

It took Jenny and her family 1 hour to drive to her grandmother’s house. Her grandmother lives about 45 miles away. At what rate did the family travel?
pls help me

Answers

Answer:

i think that the answer would be like 1,0000000 if no idk what to tell you

Step-by-step explanation:

use the formula

speed = distance ÷ time

time change in mins

1 hours = 60 mins

speed = 45 ÷ 60

speed = 0.75

OVER HERE . What is 500 + 1500 - 1000 ?

Answers

BODMAS

500+1500= 2000
2000-1000=1000

Answer:

1000

Step-by-step explanation:

NEED HELP ASAP DUE NOW HELPP!!! GIVING BRAINLIST

Answers

Answer:

-4,3,0,4.8

Step-by-step explanation:

Answer giving from left to right starting from top left.

Explanation shown in the attachment for articulating the inequality sign.

A rectangular field is 16m long and 10m wide
There is path of uniform width
around from outside it having area of 120 meters square. find the width of
path​

Answers

Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

An angle measures 86° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Let the angke be x

Its supplementary angle = 180 - x

Given:

x = 180 - x + 86

2x = 266

x = 133⁰

The one angle = 133⁰

The other angle = 180⁰ - 133⁰ = 47⁰

The measures of each angle are 86° and 94°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Let ∠A and ∠B are the supplementary angles.

According to the question,

The Sum of the angle measure,

∠A + ∠B = 180°

∠A + 86° = 180°

∠A = 180° - 86°

∠A = 94°.

Therefore, 86° and 94° are the measure of each angle.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

translate 5x+7 ≥2 into a verbal sentence

Answers

Answer: The sum of five times a number and seven is greater or equal to two

Step-by-step explanation:

Hi, to answer this question we have to analyze the expression given:

5x is a multiplication, in this case five times the number x.

The symbol + represents a sum of two numbers.

≥ means greater or equal to ( left to right)

The sum of five times a number and seven is greater or equal to two

Feel free to ask for more if needed or if you did not understand something.

Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
sandwiches and 2 cups of coffee for $23. How much does one cup of coffee
cost?

Answers

Answer:

Step-by-step explanation:

4s + 2c = 23

3s + 5c = 32

System of equations?

Evaluate g(f(-2)) for f(x)=3x-4 and g(x)=-2x+7

Answers

Step-by-step explanation:

work is pictured and shown

whats x^2-144=0?
subject factoring difference of squares
help​

Answers

Answer:

x = 12    x= -12

Step-by-step explanation:

x^2-144=0

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(x-12) (x+12) =0

Using the zero product property

x-12= 0  x+12 =0

x = 12    x= -12

Answer:

x = 12 or x = -12

The volume of a cube with side x is calculated by

Answers

Answer:

[tex] {x}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: \: \: of \: \: \: a \: \: cube \\ = whl \\ = x \times x \times x \\ = {x}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve for s.

15.32 − 8.4s = –9.65 + 14.3s

Answers

Answer:

s = 1.1

Step-by-step explanation:

To solve this, we will need to begin by isolating the variable. Move s to one side, and constants to the other.

15.32 - 8.4s = -9.65 + 14.3s

Add 8.4s to both sides, and 9.65 to both sides, giving us:

24.97 = 22.7s

Dividing both sides by 22.7 results in:

s = 1.1

So the right answer is 1.1

look at the attached picture

hope it will help you

good luck on your assignment

Other Questions
First Class, Inc., expects to sell 29,000 pool cues for $13 each. Direct materials costs are $3, direct manufacturing labor is $5, and manufacturing overhead is $0.83 per pool cue. The following inventory levels apply to 2019: Beginning inventoryEnding inventory Direct materials24,000 units24,000 units Work-in-process inventory0 units0 units Finished goods inventory1,200 units2,800 units What are the 2019 budgeted costs for direct materials, direct manufacturing labor, and manufacturing overhead, respectively Like most innovations genetically modified foods are not without controversy. What is the meaning of innovations in this sentence? solve for x and y............... which of the following is not a congressional power?a. Appointing supreme court justices b. Initiation of constitutional amendments c.overriding a presidential vetod. Approving presidential appointments which expressions are equal to 10^5? select all answers who was Jean-Jacques Rousseau? What event ended the truce between Athens and Sparta?A=Spartas alliance with Persia B=Athens disbanding it the Delian league C=Athens siege of Syracuse D=spartas attack on Sicily There are 57 ounces of cereal in 5 boxes. At this rate, how many ounces of cereal are in 8 boxes? Where are volcanoes most likely to occur Suppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of telephone directoriestelephone directories with a response rate of 23%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most households with telephoneshouseholds with telephones belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.Choose the correct answer below. A. Sampling bias Using an incorrect frame led to undercoverage. Response bias: The way the poll was administered showed bias B. Sampling bias: Using an incorrect frame led to undercoverage Nonresponse bias: The low response rate caused bias C. Nonresponse bias: The low response rate caused bias. Response bias: The way the poll was administered showed bias. A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled. Part A: If the total cost of the fare was $41.00, then which of the following equations can be used to determine the number of miles traveled, x?What is the total number of miles traveled, x, if the fare was $41.00? Which equation can be used for x in the following diagram? In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%. Let p=x^2-2p=x 2 2p, equals, x, squared, minus, 2. Which equation is equivalent to (x^2-2)^2+18=9x^2-18(x 2 2) 2 +18=9x 2 18left parenthesis, x, squared, minus, 2, right parenthesis, squared, plus, 18, equals, 9, x, squared, minus, 18 in terms of ppp ? 20 points . Find the geometric mean of 5/4 and 80 Write an equation of the line that passes through (2,3) and is perpendicular to the line y=2x3. On a map, 4 inches represents an actual distance of 24 miles. If the actual distance between two cities is 126 miles, how many inches apart will the two cities be on the map List the new country names that Dad decided each Watson should go by.Dad:Kenny:Byron:Joetta:Mom: Is there such thing as a chewy cookie? If so is there a difference between soft and chewy cookies? What guaranteed equal access to public facilities regardless of race?the Thirteenth Amendmentthe Fifteenth Amendmentthe 1875 Civil Rights Actthe Jim Crow laws