Find the equation of the circle with a center at (2,-1) and a radius of square root of 12

Answers

Answer 1

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.


Related Questions

What is the value of 4/15 divided by 2/3

Answers

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

4/15 *3/2

12/30

6/15

2/5

mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and (4,200) to find the number of soda bottles the machine can make each minute ​

Answers

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

Which equation is true?
A.
43 + 24 = 38 + 30
B.
43 + 24 = 38 + 19
C.
43 + 24 = 38 + 24
D.
43 + 24 = 38 + 29

Answers

D. 43 + 24 = 38 + 29.

Answer:

43 + 24 = 67

38 + 29 = 67

This means that there equal making

D. 43 + 24 = 38 + 29

The correct answer.

Help and no links pls

Answers

Answer: -1

Step-by-step explanation:

x is the slope and the value of x is negative one.

!! 50 POINTS PLEASE HURRY !!
FIND THE VOLUME OF THE CYLINDER, CONE AND SPHERE

Answers

Answer:

1) 678.24

2)366.333.... repeating

3) 254.34

Step-by-step explanation:

1) 3.14 x 6² = 113.04 ---> 113.04 x 6 = 678.24

2) 3.14 x 5² = 78.5 ---> 78.5 x 14 = 1099 ---> 1099/3 = 366.333.... repeating

3) 3.14 x 9² = 254.34

Triangle 1 has known angles of 36° and 64º.
Triangle 2 has known angles of 64º and xº.
Select all the values of x that would make two triangles similar to each other

Answers

Answer:

so the three sides of same triangle have 36°,64° or 64°

we know the total sum of angles of triangle is 180 then

here to find x

so if we add all the 3 triangle and - (subtract) it with 180° = remaining side

now 36°+64°+64°= 164

now. x= 180-164= 16°

Which graph represents the inequality
X > 15?

Answers

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Which equation has a greater rate of change than the linear function in the table?
х
-5
-3
у
-18
-8
1
12
3
22
A
y = 5х – 3
B
y = -4x – 18
С
y = -3.2 + 2
D
y = 6x + 13

Answers

I think the answer is A

Your friend thinks that the regular pentagon in the diagram has 10 lines of symmetry. Explain and correct your friend's error.

Answers

Answer:

A pentagon has 5 lines of symmetry, not 10.

Step-by-step explanation:

There are only 5 lines connecting to form a pentagon and all five lines are the same length.

A pentagon has 5 lines not 10

**NOTE YOU WOULD GET 34 POINTS IF YOU ANSWER THIS**

Answers

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.

Answers

Answer:

choice 3)

JK = 3.51

WK = 9.15

∠J = 69°

Step-by-step explanation:

sin 21° = JK/9.8

0.3584 = JK/9.8

cos 21° = WK/9.8

0.9336 = WK/9.8

WK = 9.15

∠J = 90° - 21° = 69°

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

......Answer: V = 1046.6

find the length of side x using the Law of Cosines.

Answers

Answer:

The length of side x is 22.91

Step-by-step explanation:

As per law of cosine

[tex]X = \sqrt{a^2 + b^2- 2*a*bcos\gamma}[/tex]

Where

[tex]gamma = 56[/tex] degrees

a = 20

b = 27

Substituting the given values in above equation, we get -  

[tex]X = \sqrt{20^2 + 27^2 - 2*20*27*cos 56} \\X = 22.91[/tex]

Hence, the length of side x is 22.91

-4(w+1) = -24−4(w+1)=−24minus, 4, left parenthesis, w, plus, 1, right parenthesis, equals, minus, 24 w =w=w, equals

Answers

Answer:

W=5

Step-by-step explanation:

-4(w+1}=-24

-4w-4=-24

-4w=-20

w=5

Answer:

its 5

Step-by-step explanation:

i got i correct ;)

im just going to type in all of the questions i need answers with tysm besties
-16 t+3.5

Answers

Answer:

on the x axis start from the point and draw it forward to -16(basically negative side) the draw a line upwards on the y-axis to the line inbetween 3 and 4 (this is on the y axis)

Step-by-step explanation:

(05.03 LC)
What is the initial value of the function represented by this graph? (5 points)

Answers

1 is the initial value because it started at 1 in the beginning, and it transfered up to 6,7.

Answer:

1

Step-by-step explanation:

The initial value is the y intercept or where the line crosses the y axis.

‼️(15 points)‼️
The aquarium below is 12 in. wide, 36 in. long, and 24 in. tall. It is filled with water, leaving 1 inch of the aquarium empty at the top.

How many cubic feet of water are in the aquarium?

A. 72 ft
OB. 61.5 ft
OC. 6 ft
OD. 5.75 ft?

Answers

Answer:

OC.6 ft hope this helps you

Answer: 6 ft

Step-by-step explanation:

L×w×h    36×12×24=10368in

1 cubic foot = 1728in          10368÷1728=6

Question 1 (1 point)
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
8 yd
7yd
11 yd
11 yd
7 yd
616 yd

481 yd
688 yd
Od
828 yd

Answers

Answer:

616 yd³

Step-by-step explanation:

Volume = base × height

The volume of the prism

= (7×8) ×11

= 616 yd³

ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY.

Explain the steps of solving the system of equations y = -x+4 and y = 3x by substitution.​

Answers

Answer:

X=1, y=3

Step-by-step explanation:

-x+ 4=3x

4=4x

1=x

insert value of x into either equation to solve for y.

Y=3x

y=3(1)

y=3

log x + log (x-3) = 1

Answers

Given:

The logarithmic equation is:

[tex]\log x+\log (x-3)=1[/tex]

To find:

The value of x.

Solution:

Properties of logarithm used:

[tex]\log a+\log b=\log (ab)[/tex]

[tex]\log 10=1[/tex]

[tex]\log x[/tex] is defined for [tex]x>0[/tex].

We have,

[tex]\log x+\log (x-3)=1[/tex]

Using properties of logarithm, we get

[tex]\log [x(x-3)]=\log 10[/tex]

[tex]x^2-3x=10[/tex]

Splitting the middle term, we get

[tex]x^2-5x+2x-10=0[/tex]

[tex]x(x-5)+2(x-5)=0[/tex]

[tex](x-5)(x+2)=0[/tex]

[tex]x=5,-2[/tex]

In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:

[tex]x=5[/tex]

Therefore, the value of x is 5.

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

Answer: here is the answer I had to do file hosting

Step-by-step explanation: https://www.wattpad.com/story/34339632-5sos-boyxboy-smut

The answer is 306 cm3. The big one minus the little rectangle. 7*8*6 - 5*2*3=306 .

what's the answer ?

[tex] \sqrt{25 \times 4} [/tex]

Answers

Answer:

[tex] \sqrt{25 \times 4} [/tex]

=[tex] \sqrt{5²×2²} [/tex]=±[5×2]=±10

Oceanside Bike Rental Shop charges 13 dollars plus 7 dollars an hour for renting a bike. Sandy paid 41 dollars to rent a bike. How many hours did she pay to rent the bike?

Sandy rented the bike for _____
hours.

Answers

STOP SENDING LINKS like honestly

which equation represents the relationship in the table?​

Answers

Answer:

Y=2X

Step-by-step explanation:

when x=2 & y=4

y= 2(2)

y= 4

when x= -1 & y=4

y= 2(-1)

y= -2

and it goes on

The answer is (D). Y=2x


A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game



Anyone can help
Me with this?

Answers

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

X= the number of games rented

They cost 5 each, so u would multiply that times the number of games u bought

someone please help thanks!<3

Answers

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

A car company makes 5 different types of compact cars , 4 different types of mid-sized cars and 3 different types of large cars. If a rental company would like to buy one compact car, one mid-sized car and one large, how many different ways can a set of cars be bought?

Answers

Answer:

a set of cars can be bought in one way

1 different way

The probability of a high school basketball team winning any game is 58%. This team is in a six-game tournament, and the games are played independently of one another. Let X represent the number of games the team might win in this tournament. What are the mean and standard deviation of X?

Mu Subscript x Baseline = 2.52, Sigma Subscript x Baseline = 2.15
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.21
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.46
Mu Subscript x Baseline = 5, Sigma Subscript x Baseline = 1.46

Answers

Answer:

C)

Step-by-step explanation:

I’m not sure

B.) μx =  3.48    σx = 1.21

Each of the figures are similar. Find the missing length

Answers

Answer:

63

Step-by-step explanation:

the first one is 9x bigger then the second one

so 7x9 is 63

what is wrong with the information given in the diagram?

Answers

Answer:

the answer is c

Step-by-step explanation:

inscribed angles made by same base should be equal

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