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

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 meeeee :,(

Answers

Answer:

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

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

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

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

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.

41 percent of 78 is what?

Answers

Answer:

31.98

Step-by-step explanation:

78 * .41 = 31.98

31.98 is the correct answer

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!

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%

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.

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

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:

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

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:

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

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

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

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:


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

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:

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

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

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

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

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

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

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.

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:

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%

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