Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)? x2 + (y + 4)² = StartRoot 5 EndRoot (x – 1)² + (y + 2)² = 5 (x + 4)² + y² = 5 (x + 2)² + (y – 1)² = StartRoot 5 EndRoot

Answers

Answer 1

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer 2

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge


Related Questions

To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Priya buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the percent error?

Answers

Answer:

The percent error is 4%

Step-by-step explanation:

Expected value of egg = 2.5 oz

Observed value of egg = 2.4 oz

We need to find the percent error.

The formula used to calculate percent error is: [tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%[/tex]

We use || (absolute) sign because if the answer is negative, we considered it as positive i,e |-a| = a

Putting values in formula and finding percent error

[tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%\\Percent\:error=|\frac{2.4-2.5}{2.5}| .100\%\\Percent\:error=|\frac{-0.1}{2.5}| .100\%\\Percent\:error=|-0.04|.100\%\\We\:know\: |-a|=a\\Percent\:error=0.04.100\%\\Percent\:error=4\%[/tex]

So, the percent error is 4%

The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.

Answers

Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

Perimeter P = 2(L+W)

L is the length = 4feet

W is the width = 12 feet

Perimeter = 2(4+12)

Perimeter = 2(16)

Perimeter  = 32 feet

Convert to inches

12in = 1feet

x = 32 feet

Cross multiply

x = 12 * 32

x = 384in

Hence the perimeter of the school mascot is 384in

If it is to be completely framed using a single row of square tiles each 2inches on an edge

2 inches = 1 tiles

384inches = y tiles

Cross multiply

2y = 384

y = 384/2

y = 192 tiles

The number of tiles needed is 192 tiles

Get the cost of 192tiles

If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2

Hence the cost of the tiles needed is $19.2

In a tennis club there are 3 times as many right-handed players as there are left-handed players. If there are 72 players in total, how many are left-handed?

Answers

Answer 18

Step-by-step explanation:

There are 13 books on a shelf. 5 of these books are new. The rest of them are used.

Answers

Answer:

So there is 8 old books

Step-by-step explanation:

Answer:

so 8 books are being used and 5 are new total of 13 :)

Step-by-step explanation:

Please help meeeee :,(

Answers

Answer:

I pretty sure the answer is ASA, I hope it's right!

Plz can you help me out with this question..

Answers

Answer:

86%

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

The sum for the class is calculated as

[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )

sum = 2100

The sum of the 20 boys is

[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )

sum = 1240

The sum for the 10 girls is therefore 2100 - 1240 = 860

Thus the mean mark for the girls is

mean = [tex]\frac{860}{10}[/tex] = 86%

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye


Work out 97.974436÷14and give your answer to 2 decimal places.​

Answers

Answer:

7

Step-by-step explanation:

97.974436/ 14= 6.998174

round to 2 decimal places by looking at the third digit after decimal and is 8 that is greater than 5 so will round up the second digit after the decimal

But, that will make 9 a 10 so we have to make the number 7

Will give crown will post one more

Answers

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

Give me that crown again

Answer:

22, 19, 16, 10

Step-by-step explanation:

y = 25-(3*1)= 22

y = 25-(3*2)= 19

y = 25-(3*3)= 16

y = 25-(3*5)= 10

Please help me I’m so behind and I’m going to fail if I can’t get this answer. I need 15 but can someone also do 14.

Answers

It’s d hope that helps

Answer:

its d 100%

Step-by-step explanation:

A pair of shoes is ticketed $49.99 but marked 15% off. You had a coupon for an additional 10% off the sales price. You have to pay 6.75% sales tax on shoes. How much are you paying?​

Answers

Answer:

$40.86

Step-by-step explanation:

just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like

(49.99 - 12.49) + 3.37 = 40.86

HELPP ASAP PLEASE, WILL GIVE BRAINLIEST !!!!!
Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to $11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution.

What are the functions?

Answers

Answer:

$88.00.

Step-by-step explanation:

here is how I got my answer,

first you multiply 11, 8 times then you will get a total of $88.00.

second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.

therefore your answer is $88.00.

Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.

Answers

Answer:

the slope is -9

Step-by-step explanation:

its with x and decreases by 9

the value of a second-hand car is £8000
Each year it loses 20% of it value at the start of this year. work out its value in 5 years time.


pls show working out
I will mark brainest and rate 5 stars​

Answers

Answer:

£2,621.44

Step-by-step explanation:

Original cost of car = £8000

If it looses 20% of its value yearly

Value at the end of first year

80% * 8000

= 0.8 * 8000

= 6400

Value at the end of second year

80% * 6400

= 0.8 * 6400

= 5120

Value at the end of third year

80% * 5120

= 0.8 * 5120

= 4096

Value at the end of fourth year

80% * 4096

= 0.8 * 4096

= 3,276.8

Value at the end of fifth year

80% * 3,276.8

= 0.8 * 3,276.8

= 2,621.44

Hence the value in 5 years time will be £2,621.44

Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?

Answers

Answer:

10 divided by two fifths = 25

Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)

Answers

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

please help will give brainliest ​

Answers

10.Let's solve for f.

gx=fx−4

Step 1: Flip the equation.

fx−4=gx

Step 2: Add 4 to both sides.

fx−4+4=gx+4

fx=gx+4

Step 3: Divide both sides by x.

fx/x=gx+4/x

The correct answer would be f= gx+4/x

11. Let's solve for f.

hx=12fx+2

Step 1: Flip the equation.

12fx+2=hx

Step 2: Add -2 to both sides.

12fx+2+−2=hx+−2

12fx=hx−2

Step 3: Divide both sides by 12x.

12fx/12x = hx-2/12x

The correct answer would be F= hx-2/12x

12.  Let's solve for f.

kx=(−2f)(−x)

Step 1: Flip the equation.

2fx=kx

Step 2: Divide both sides by 2x

2fx/2x= kx/2x

The correct answer would be F= k/2

Side note: "/" is supposed to represent division and fractions

Answer:

10. f(x) was translated 4 units down

11. f(x) is stretched vertically by a factor of 12 and translated 2 units up

12. f(x) is stretched vertically by a factor of 2, reflected vertically along the x-axis, and reflected horizontally along the y-axis

Step-by-step explanation:

you have to explain what happened to f(x)

start by following the process SRT (stretch, reflection translation) for SR y then x transformations and for T x translation then y translation

This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.

Answers

Answer:

ha you said C O C K

Step-by-step explanation:

Which division problem can be described using this model?

2÷15

2÷5​

2÷110​

1÷110​
Two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

Answers

Answer:

2 divided by 5

Step-by-step explanation:

Hope this helped!! Give brainliest

The division 2÷5 describe the two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

So the one strip represents one whole and two represents 2

So each strip represent 2÷5

Thus, the division 2÷5 describe the two rectangular strips in a row, the top of each strip is labeled 1. Each strip is divided into 5 equal parts.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the lender. Simply your answer.

Answers

Answer:

The minimum monthly income required by the lender is $5214.30

Step-by-step explanation:

Here, we want to calculate the minimum monthly income required by the lender

From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income

So in this case, let the monthly income be x

So therefore;

28% of x = 1460

Thus;

28/100 * x = 1460

28x = 100 * 1460

x = (100 * 1460)/28

x = 5214.30

The price of a ticket to a show was $18.30 after a 25% discount. What was the original price?

Answers

Answer:

24.40

Step-by-step explanation:

divide this by 3, which gets you 6.10, or 1/4 of the total, then add that onto the 18.30 and boom

what is x + 59-279?plz answer

Answers

x220...............

.

.

.

.

.

Answer:

x − 2 > 1

Step-by-step explanation:

If you are solving for x it would be

what is the value of x in this triangle

Answers

Answer:

30

Step-by-step explanation:

if the total angles in a triangle equals 180, and   there is 6x in total (after adding it up), 180 divided by 6 equals 30.

Hope that makes sense!

The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the temperature change.

Enter the correct answers in the boxes.

Expression:
a

Temperature change:
∘F

Answers

2- F= -15
I assume that F (is the variable) it’s what’s missing from the equation. The change i. temperature. To find F add 2 +(-15) which is -13 so the change in temperature is -13

If \triangle ABC△ABC is equilateral, solve for x.




x=

Answers

Answer:

x = 13

Step-by-step explanation:

The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.

If you need proof of that, remember that x + x + x  = 180. Every triangle has 180 degrees.

if 3x = 180 then 1 x is 60

8x - 44 = 60       Add 44 to both sides.

8x = 60 + 44

8x = 104             Divide by 8

x = 104/8

x = 13

Zoey has 99 years .She plans to make 5 bangles .Each bangle is made using 30 beads how many more beads does zoey need?​

Answers

Note: I am assuming you meant to say:

Zoey has 99 beads instead of 99 years.

Answer:

Zoey needs 51 more beads to make 5 bangles.

Step-by-step explanation:

Total number of beads Zoey currently has = 99 beads

Beads need to make one bangel = 30 beads

so

Beads need to make 5 bangles = 30 × 5 = 150 beads

Since she has already 99 beads.

So, all we need s to subtract 99 beads from 150 beads.

Therefore,

The number of beads Zoey needs = 150 - 99

                                                          = 51 beads

Thus, Zoey needs 51 more beads to make 5 bangles.

What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?

Answers

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3                  Substitute into the general equation

-3 = 3(-1) + b       Simplify the right side

-3 = -3 + b          Subtract -3 from both sides

b = 0

Answer: y = 3x

Tyler’s brother works in a shoe store.

a) Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

b) The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

c) Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?​

Answers

Answer:

A)  $22.5

B) $12.6

C) ...

Sorry but i only know two! But i hope this helps you!

Answer:

a) 22.50

b) 12.60

c)  12.60

Step-by-step explanation:

x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)​

Answers

Answer: Substitution (7,4)

Step-by-step explanation: Since the value of X is given to us, just plug that in to the other equation to solve for the y coordinate.

41 percent of 78 is what?

Answers

Answer:

31.98

Step-by-step explanation:

78 * .41 = 31.98

31.98 is the correct answer
Other Questions
A student received scores of 86, 76, and 90 on three quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70? What are some ways to keep context information from misleading readers? Este artista indgena dibuj muchos___ abstractos SmbolosIndgenasImagenesImgenes Cambodia today is ______ than it was in the 1970s and 1980s.A.) more restrictiveB.) less developedC.) more stableD.) less peaceful The amount of change that goes up Why was Mansa Musa important to the Mali empire?A. He was a Muslim king who expanded Malis inventory and spread Islam.B. He was a Muslim leader at the Great Mosque in the city of Djenn.C. He was a religious scholar who was related to the founder of Mali.D. He was a wealthy businessman who owned several gold mines in Mali. hello someone need help yes or no Solve x^2 + 2x + 5 = 0 Assuming that it could maintain the same acceleration at higher speeds, how long would it take the car to go from 0 to 120 mph write a formal report about 2 boys breaking a window What made the fortresses built by Ancient Egyptians so impenetrable? Construction ManagementA construction company is building a new neighborhood, and they are currently working on the design. Each house will be built using one of three main materials (e.g., wood, brick, or concrete), but no side-by-side houses can be made of the same material. Because each house will be of varying size and complexity, the cost of the materials for each house varies. Given the cost of using each material for each house, what is the minimum cost needed to complete the neighborhood Which social class was made of people who were both Indian and Spanish?o Spanisho Spanish born in MexicoO mestizosO Indians Find the decimal that is equivalent to:7/12OA) 1.714OB) 0.583C) 0.0583OD) 0.583 Technician A says that the most effective way to diagnose wheel speed sensor circuit faults is to utilize the live data function of your scan tool. Technician B says that once you have identified the affected circuit, the next step is to test at the sensor with a graphing multi-meter or an oscilloscope. Who is correct Can someone please help me with this it's for a grade. Find the mass of a copper block with heat capacity 50j/kg,(specific heat capacity of copper=400j/kg) the Framers of the constitution knew that one branch of goverment should not have more power than the others so they created government withA. royal leadersB. Prewritten amendmentsC. checks and balanceD. Full authoritywhich is the answer what can l study with my combination of mathematical literacy, geography and life science . please tell me best courses l can study What type of figurative language is used in these lines from The Rime of the Ancient Mariner by Samuel Taylor Coleridge?The Sun came up upon the left,Out of the sea came he!And he shone bright, and on the rightWent down into the sea.A. simileB. alliterationC. metaphorD. personification