3. Write the equation of the circle with a center at (-6, 1) and an area of 7n.

A Q(x + 6)^2 + (y - 1)^2 = 14
B (x - 6)^2 + (y + 1)^2 = 49
C (x + 6)^2 + (y - 1)^2 = 49
D (x + 6)^2 + (y - 1)^2 = 7
E (x - 6)^2 + (y + 1)^2 = 7

Answers

Answer 1

Answer:

D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-6, 1)

Area of the circle [tex] =\pi r^2 [/tex]

[tex] 7\pi=\pi r^2 [/tex]

[tex] \frac {7\pi}{\pi} =r^2 [/tex]

[tex]r^2=7[/tex]

[tex]r=\sqrt 7[/tex]

Radius [tex] r=\sqrt {7}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]

[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]


Related Questions

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 8x

Step-by-step explanation:

Since slope is 8/1 which is equal to 8 and x-intercept is 0.

Put these in slope-intercept equation i.e  y = mx + b

Answer:

Y=8x

Step-by-step explanation:

You have to calculate the slope. Delta y over delta x

In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n

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Answer:

2\6 is the ratio

Step-by-step explanation:

brainliest pls

step by step explenation

thank you

find the measure for the angle of theta

Answers

Answer:

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)


Answer choices
10%
30%
25%
No links no links I will report

Answers

I think 25% I’m sorry if I’m wrong but it seemed more reasonable

Which of the following options has a distance of 12 city blocks? Select three that apply.

Answers

Answer:

E

F

D

Step-by-step explanation:

That's what I am sorry if its wrong

Answer:

C, E and F

Step-by-step explanation:

BRAINLIEST!!!!!
PLEASE HELPP
NO FILE HOSTING LINKS
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

the answer is 2.4 miles per day

Which equation can be used to solve for x in the following diagram

Answers

Answer:

c) 5x + 13x = 180

Step-by-step explanation:

c) 5x + 13x = 180

c) 5x + 13x = 180

−28 = 7b

Solve for b
Tell what you did to find b

Answers

Answer:

b= -4

Step-by-step explanation:

divide both sides by -27 and the you will get b =

If sin x=3/4,then cos x

Answers

If sinx=3/4 then cosx= ??​ - 8219182.

4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?

Answers

Answer:

first one is x=-15-2y/5

second one x=y-3

Step-by-step explanation:

The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?

Answers

Answer: 20 meters

Step-by-step explanation:

A= w l

A= A /w = 600/30 = 20m

L= 20 m

Evaluate (3.68)²26705
55​

Answers

Answer:

I am sorry I need points I am really sorry

Answer:

Step-by-step explanation:

0.0000368


1. Find the area of a circle with a diameter of 7
cm (Round to the nearest hundredth)

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

38.48

Step-by-step explanation:

Formulas:

Area of a circle = [tex]\pi r^2[/tex]  

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

Steps:[tex]\pi (7/2)^2[/tex] [tex]\pi (3.5)^2[/tex] 38.4845....

Thus, our final answer rounded to the nearest hundredth is 38.48 :) Hope this helps!

Can someone help me pls

Answers

Solution:C=2πr=2·π·8≈50.26548

ROUND TO THE NEAREST TENTH: 50.3

Hope this helps! :)

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

Hannah factored the expression 24xy + 15y. Her work is shown below.



1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.

Answers

- She divided by 3 instead of the GCF.

- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

- She didn’t undistribute the GCF from the original expression.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Angle VUX and angle WXU

are alternate interior angles

hope it helps

It’s angle VUX and WXU

Because alternate angles make z shapes and these angles make z shapes

Hope this helped

Which statements are true about the expression that y +92 Choose ALL that apply.

Answers

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

A, C, D, and F

Work out and simplify where possible 3/5+7/8

Answers

assuming those r fractions
find a common denominator
3/40 + 7/40
= 24/40 + 35/40
= 59/40
mixed fraction: 1 19/40

What is the value of the expression 13/4 (8)? *

Answers

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

I think the answer is 26 have a nice day!

During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?

Answers

Answer:

Most snow- 3 1/2 inch least snow, 1/2 inch

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20

Answers

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)

Answers

Answer:

11

Step-by-step explanation:

The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,

⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]

⇒ D = √ [ (8-1)² + (7+2)² ]

⇒ D = √ [ 7² + 9² ]

⇒ D = √ [ 49 + 81 ]

⇒ D = √ 130

D = 11.401 units

Rounding off we have , 11.401 ≈ 11 units .

Hence the required answer is 11 units

A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?

Answers

Answer:

270 i tink it is the answer

184 Answer:

Step-by-step explanation:

4 times as

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?​

Answers

Answer:

90(x)+50

Step-by-step explanation:

Because you are multiplying 90 by however many hours and adding a 50 dollar fee

In a survey of 1012 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1012 ​surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answers

Answer:

%52.87

Step-by-step explanation:

:)

20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in​

Answers

Answer:

Step-by-step explanation:

Someone come help him out

The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first
number and let b represent the second number. What are the two numbers? Use the table to answer the question.
Numbers
а
b
a+b=39
Check
b-za+6
20
19
39
39
22
24
26
17
15
39
39
13
20 and 19
22 and 17
24 and 15

Answers

Answer:

17 and 22 edge 2021

Step-by-step explanation:

Brainliest for correct answer asap

Answers

B , -4x-4x-4 . the other answers are wrong

• A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?​

Answers

Answer:

Step-by-step explanation:

so you want to know the formula for the volume of a cylinder

volume (cylinder) = area of the circular base * height

2279.64 = area of a circle + height

area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

they tell us the radius is 11 feet   so r = 11

circle = [tex]\pi[/tex][tex]11^{2}[/tex] = 38013271

2279.64 = 38013271 * height

2279.64 / 38013271 = height

5.996958 = height   in feet

Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.

x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15

Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).

Answers

Answer:

Step-by-step explanation:

From the information given:

X represent no of Canon SLR

The pmf is given as:

X      0         1        2           3        4

p(x)   0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended waranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]

The condition probabilities Y given X is:

[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]

[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]

The Joint P.D is;

                       Y                                                                      Total

              0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

       1      0.09        0.11              0               0         0                 0.2

   2    0.06075  0.1485      0.09075          0         0                 0.3

   3    0.022781 0.083531 0.102094   0.041594  0                0.25

   4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2) = 0.055131

(b)

[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]

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