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

What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0

Answers

Answer:

x = -3, x = 7

Step-by-step explanation:

( 5x + 15 ) ( x - 7 ) = 0

5x + 15 = 0

5x = -15

x = -3

x - 7 = 0

x = 7

Answer:

x=−3 or x=7

Step-by-step explanation:

(5x+15)(x-7)=0

5x2−20x−105=0

5(x+3)(x−7)=0

x+3=0 or x−7=0

x=−3 or x=7

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho

Answers

I’m pretty sure the answer is C ( 200)

Answer:

200

Step-by-step explanation:

C

1 3/8 ÷ 1 2/3
quotient in lowest terms

Answers

Answer:

=33/40

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

118÷53

Applying the fractions formula for division,

=11×38×5

=33/40

=33/40

I have the same question and I like ur user

Help!! 10 pts and brainliest!

Answers

Answer:

25 times larger

Step-by-step explanation:

hope this helped

Answer: 5 times larger

Explanation:

B is a scaled copy of A with a scale factor of 5 which mean B is drawn 5 times larger than A

help pllsss :p and merry christmas or happy Hanukkah

Answers

Answer:

104

Step-by-step explanation:

156 divided by 6. 156-26=130. now 20 percent of 130 =26. 130-26 = 104

A box contains 4 blue chips and 5 black chips. If two chips are drawn at random with replacement, what is the probability that both will be blue

Answers

Answer:

Step-by-step explanation:

divide the number of blue chips over the total chips

the probability that first one will be blue 4/9

the probability that second one will be blue 4/8

5/8 divided by 1 1/3? In fraction form

Answers

Answer:

15/32

Step-by-step explanation:

15/32 is the fraction form of the statement 5/8 divided by 1 1/3.

To divide 5/8 by 1 1/3, we first need to convert the mixed number 1 1/3 to an improper fraction.

1 1/3 can be written as (3/3 + 1/3), which simplifies to 4/3.

Now, we can rewrite the division as the multiplication of the dividend by the reciprocal of the divisor:

(5/8) * (3/4)

Multiplying the numerators and denominators:

(5 * 3) / (8 * 4) = 15/32

Therefore, 5/8 divided by 1 1/3 in fraction form is equal to 15/32.

Learn more about ratios here:

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Solve for x:
3x – 2 (5 – x) = 30

Answers

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 2(5 - x) = 30

Step 2: Solve for x

Distribute -2:                    3x - 10 + 2x = 30Combine like terms:        5x - 10 = 30Isolate x term:                  5x = 40Isolate x:                           x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(8) - 2(5 - 8) = 30Multiply:                               24 - 2(5 - 8) = 30Subtract:                              24 - 2(-3) = 30Multiply:                               24 + 6 = 30Add:                                     30 = 30

Here we see that 30 does indeed equal 30.

∴ x = 8 is the solution to the equation.

how many times can 23 go into 26​

Answers

1 time you will have a decimal left over tho

Answer: 1.13043478 times

Step-by-step explanation:

You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?

Answers

Your rent will be $894.63 if u raise it that much

Answer:

$892.50

Step-by-step explanation:

An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%​

Answers

C. 25
——-
Divide 400/100=4
——-
Than divide 4/100
—-

Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.​

Answers

Answer:

x + y = 7

2.5x + 3y = 20

Step-by-step explanation:

cherries = $2.5 per pound

mangoes = $3 per pound

7 pounds of cherries & mangoes for $20

unkown x number of pounds in cherries

unknown y number of pounds in mangoes

x + y = 7

2.5x + 3y = 20

Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.

Answers

5y = -3x + 7
y = -3/5x + 7/5
Parallel = same slope
y = -3/5x + b
3 = -3/5 + b, b = 18/5
Standard form: Ax + By = C
y = -3/5x + 18/5
-3/5x - y = -18/5
Multiply by -5
Solution: 3x + 5y = 18

Arrange the expressions in increasing order of their values.
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)

Answers

Answer:

cos(52.5°)sin(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

What are Expressions ?

Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.

The expression given are

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)sin(7.5°)

To arrange them into increasing order , the value of it has to be determined.

cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036

sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865

sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035

cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945

Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

To know more about Expressions

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Stacy's Weekly salary is $1516.52 what is her annual salary?

Answers

Answer:

Does she get paid once every week?

Step-by-step explanation:

Approx. $78,859.04 somewhere around there


The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?

Answers

Step-by-step explanation:

The relation and its inverse (if it exists) must be symmetrical about the line y = x.

Hence the answer is the 2nd from the top.

Answer:

Second option

Step-by-step explanation:

If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?

Answers

Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24

Answers

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1​

Answers

Answer:

X = 7

Step-by-step explanation:

Please mark brainliest.

Answer:

[tex]\huge\boxed{\sf x = -2}[/tex]

Step-by-step explanation:

4x - 2y = 5 -------------------------------(1)

y = 3x - 1 ----------------------------------(2)

Put Eq. (2) in (1)

4x - 2(3x-1) = 5

4x - 6x + 1 = 5

-2x + 1 = 5

Subtracting 1 to both sides

-2x = 5 - 1

-2x = 4

Dividing both sides by -2

x = 4 / -2

x = -2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

4
Mathematical
9. PRACTICE Model Math The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails.

Answers

Answer:

11

need more characters

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?

Answers

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour

Answers

32 cars per hour. If you do 256 divided by 8 you get 32.

Hope this helped!

Which of the following system of inequalities is the graph below?


HELP ME PLEASE !!!

Answers

Answer:

2nd answer choice

Step-by-step explanation:

First, you see which inequalities are represented in the graph. When doing this,  I just temporarily the signs to equal signs so just basically ignore the inequalities. Then, when you find the ones with the right numbers, you can worry about the inequalities. Remember that greater than is always the side where the y values increase and less than is always where the numbers on the y axis decrease. Also, pay attention to the equal than sign. If it has a line under the sign, the line has to be solid while if there is no line, then it is dashed. In this problem, The first equation represents the dashed line and the second is the solid line.

Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent

Answers

Answer: 81%

Step-by-step explanation:

From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.

Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:

= 32.5/40 × 100

= 3250/40

= 81.25%

= 81% to nearest whole number

What is a GEM math program?

Answers

Answer:

Gifted European Mathematicians (G.E.M.) project

Step-by-step explanation:

hope it is correct

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers

Answer:

280

Step-by-step explanation:

subtract

Answer:300

Step-by-step explanation:

Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.

Answers

Answer:

x = -30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2

Step 2: Solve for x

Distribute 0.2:                         0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms:                -0.1x + 2 = 0.2x + 11Add 0.1x on both sides:          2 = 0.3x + 11Isolate x term:                          -9 = 0.3xIsolate x:                                  -30 = xRewrite:                                   x = -30

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply:                               0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract:                      0.2(-110) + 27 = 0.2(-36) + 12.2Multiply:                               -22 + 27 = -7.2 + 12.2Add:                                     5 = 5

Here we see that 5 does indeed equal 5.

∴ x = -30 is the solution to the equation.

I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.

Please help me

Answers

Answer:

Yeah

Step-by-step explanation:

1. understand time management

2. Value time.

3. use time wisely

4. take advantage of the opportunity of extra time.

5. smile, it's all linear! : )

Which house and decorations is better

Answers

Answer:

The First house, also has a bigger bed! :)

Step-by-step explanation:

Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me

Step-by-step explanation:

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

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