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

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°

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 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

(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.

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

Answers

......Answer: V = 1046.6

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.

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:

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°

**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.

-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 ;)

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.

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

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

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.

Help and no links pls

Answers

Answer: -1

Step-by-step explanation:

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

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

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.


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

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

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

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

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

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 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

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

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

‼️(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

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

!! 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

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
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