Write the equation of each circle
Center (-1,0) and containing the point (2, -4)

A.(x + 1)2 + y2 = 25
B.x2 + (y2 +1)= 25

Answers

Answer 1

Answer:

The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

In which r is the radius.

Center (-1,0)

This means that [tex]x_c = -1, y_c = 0[/tex]. So

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]

[tex](x + 1)^2 + y^2 = r^2[/tex]

Finding the radius:

Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:

[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]

So, the equation of the circle is:

[tex](x + 1)^2 + y^2 = 5^2[/tex]

[tex](x + 1)^2 + y^2 = 25[/tex]


Related Questions

you made a 12 minute call using a calling card. The call costs $0.66. there is a $1.21 left on your card. if the rate stays the same, how many more minutes can you talk for using the card

Answers

1 because .66+ .66 is 1.32 which is an amount you don’t have. So 1 should be the answer.

If the probability of an event is 0.39, what is the probability of its complement?

Answers

Answer:

Step-by-step explanation:

p'=(1-0.39)=0.61

Oh yeah lol I don’t have internet so it’s okie

A triangular window is above the door to a café. The base of the window is 12 feet, and the height is 10 feet.



What is the area of the window?

Answers

Answer:

Your answer is 60

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer: Hello! Your answer is.....

The area of the triangle is 60.

Step-by-step explanation:

12 x 10 = 120

120/2 = 60

Hope this helps!♥

Sorry this is late.

Solve step by step:
n + 8 = -10

Answers

Answer:

n=-18

Step-by-step explanation:

subtract 8 from both sides.

then you do -10 subtracted by 8 and thats -18.

Calculate slope
(0,-3), (-4,7)

Answers

Answer:

Step-by-step explanation:

(7 + 3)/(-4 - 0) = 10/-4 = -5/2

HELP BRAINLIEST IF RIGHT

Answers

Answer:

x<2.93

Step-by-step explanation:

1/4( 16x-8)-8x= -1/3 ( ? x+9)

What is the only value you can substitute to have no values of x?

What number would I need to change 9 to have all values of x?

Answers

Answer:

d.16

Step-by-step explanation:

A movie-streaming service charges $3.75 to watch a
movie. The following year, the price increases to
$5.25. What is the percent increase in the cost to
stream a movie?

Answers

Answer:

5.25 is a 40% increase of 3.75.

Step-by-step explanation:

Percentage of increase = |3.75 - 5.25|/3.75 = 1.5/3.75 = 0.4 = 40%

A map of a park is created on a coordinate plane. Each until on the map represents 1 kilometer. A tennis court is located at (0, 4). An eating area is located at (-3 -1) A dog is located at (-3, 4).​

Answers

Answer:

Jul 11, 2016 · - Gush Tela, a 54-year-old man who was forced to flee with his family after the town of Humera, located in Ethiopia's Tigray region, was shelled by the Ethiopian Army. He was describing the scene he encountered as he returned to the town several days later; he and his family are now in a refugee camp in Sudan (as quoted on The Guardian )

Step-by-step explanation:

given h(x) = 5x -1, find h(1).

Answers

h(1) = 4


h(1)= 5 x 1 -1
=5-1
=4
hope that helps <3

The required value of h(1) for the function  h(x) = 5x -1 is 4.

Given that,
A polynomial function is given  h(x) = 5x -1, it value at x = 1 ios to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, according to the question
function  h(x) = 5x -1
at x = 1
h(1) = 5(1) - 1
      = 5 - 1
      = 4

Thus, the required value of h(1) for the function  h(x) = 5x -1 is 4.

Learn more about polynomial function here:

https://brainly.com/question/12976257
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Solve For X. Please add an explanation.

Answers

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

During summer vacation Amanda ran a lemonade stand she bought a total of 65 lemons each bottle of lemonade need six lemons how many full batches can she make

Answers

Answer:10

Step-by-step explanation:

Question 9 of 10
What is the value of n?
11330

1142°
A. 810
O B. 38°
C. 47°
D. 850

Answers

Answer:

n = 85

Step-by-step explanation:

Sum of supplementary angles = 180°

Camilla walked 456 feet in the forest. How many yards did Camilla walk?

Answers

Answer:

152 yards

Step-by-step explanation:

456 divided by 3 equals 152

Answer:

456 feet equal 152 yards

Step-by-step explanation:

Kala will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For each
pricing option, cost (in dollars) depends on miles driven, as shown below.
no 1
Option A
Option 3
Cost
10
(in dollars)
TO
Miles driven
Х
5
?
(a) If Kala drives the rental car 300 miles, which option costs more?
Option A Option B
How much more does it cost than the other option?
so
(b) For what number of miles driven do the two options cost the same?
If Kala drives more than this amount, which option costs more?
Option A Option B

Answers

It’s a hope it helps

When a virus is placed on a tobacco leaf, small lesions appear on the leaf. To compare the mean number of lesions produced by two different strains of virus, one strain is applied to half of each of 8 tobacco leaves, and the other strain is applied to the other half of each leaf. The strain that goes on the right half of the leaf is decided by a coin flip. The lesions that appear on each half are then counted. The data are given below:
Leaf Strian 1 Strain 2
1 31 18
2 20 17
3 18 14
4 17 11
5 9 10
6 8 7
7 10 5
8 7 6
What is the number of degrees of freedom associated with the apropriate t-test for testing to see if there is a difference between the mean number of lesions per leaf produced by the two strains?
a. 7.
b. 8.
c. 11.
d. 14.
e, 16.

Answers

Answer: a. 7

Step-by-step explanation: Degrees of Freedom is the number of values "allowed" to vary. For example:

In the experiment above, the sample has 8 tobacco leaves. Two strains will be applied to each leaf. The decision of which strain goes to the right or left is random. Each strain have 7 possible leaves it can be applied, because, for the last, the eight leaf, there is no choice.

Therefore, the degrees of freedom for this experiment is 7.

It can also be calculated as

df = n - 1

df = 8 - 1

df = 7

PLEASE HELP I WILL GIVE BRAINLEST.

Answers

Answer:

it would be 6*7=42 plus (13-7)*(6-3)/2 which equals 9, so 42+9=51

Rachel received 5/8 of the 72 vote cast for class president. How many votes did she receive

Answers

Answer: Rachel recieved 45 votes.

Step-by-step explanation: Any easy way to solve this is to has the demonimator equal the total amount of votes. So in the questions, 8 is the denominator and 72 is the total amount of votes. To get from 8 to 72, you need to multiple 8 by 9. And whatever you do to the denominator, you must do to the numerator. So, 5 times 9 equal 45 which is the number of votes Rachel recieved.

1. MGSE.9-12.G.C. 2
A GRV is inscribed in a circle as shown the figure below. In AGRV, GR is congruent to GV. What is the
measurement of GR?
G
/200
A. 20°
B. 160°
C. 130°
D. 700

Answers

the answer is b :))))))

The angle sum of a triangle is 180 degrees. The measure of the angle GR is 160° then the correct option is B.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A ΔGRV is inscribed in a circle as shown in the figure below.

In ΔGRV, GR is congruent to GV.

Then the angle ∠V and ∠R are also equal.

The sum of the angle of the triangle is 180 degrees. Then angles ∠V and ∠R will be

∠V = ∠R = 80°

We know theorem

An arc of a circle subtends twice the angle it subtends anywhere on the circle's circumference at its center.

Then the measure of the angle GR will be

→ 2 × 80°

→ 160°

More about the circle link is given below.

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Solve p
0.6p+4.5=22.5

I need an answer before 11:59 pm

Answers

P = 30 is the answer

Down bad rn plz help

Answers

Answer:

[tex]8x - 7 = 7x + 22 \\ 8x - 7x = 7 + 22 \\ x = 29 \\ kj = 7 \times x \\ 29 \times 7 \\ = 203[/tex]

Step-by-step explanation:

plz mark me as brainliest plzzzzz

Look at the question

Answers

Answer:

Step-by-step explanation:

The better buy is the one where you get more area of pizza per dollar (area/price).

Since the problem gives diameter, we assume the pizzas are circle-shaped.

Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.

*************************************************************************************

Pizza 1: d = 8 and price is $10

r = 1/2 x d = 4

Area of Pizza 1 = πr² = π(4)² = 16π

*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar

**********************************************************************************

Pizza 2: d = 14 and price is $16

r = 1/2 x d = 7

Area of Pizza 2 = πr² = π(7)² = 49π

*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar

***********************************************************************************

Pizza 2 is the better buy, with more pizza per dollar.

A car dealership decreased the price of a certain car by 12%. The original price was $37,400.

(a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal.

New=price × Originalprice

(b) Use your answer in part (a) to determine the new price.

Newprice:$​

Answers

Answer:

$32912

Step-by-step explanation:

new price = price decrease × original price

new price = 0.88 × 37400

37400 decrease 12% =

37400 × (1 - 12%) = 37400 × (1 - 0.12) = 32912

The student council at mountain view high school plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in UNDERCOVERAGE bias?

A. Setting up a booth in the lunchroom where students can give their thoughts

B. Obtaining an alphabetical list of all students and surveying every 10th student

C. Handing out a questionnaire to seniors only

D. Handing out a survey to the first 50 students entering the cafeteria at lunch

Answers

Answer:

c

Step-by-step explanation:

just did it on a.pex

Which shows the distributive property?

5x+2= 2+5x
5(x+2) = 5x+10
5(x+2)= 5(2+x

Answers

The 2nd one. You multiply both the x and the 2 by 5.

Answer:

5(x+2) = 5x+10

Step-by-step explanation:

The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm

Answers

Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that [tex]\frac{dr}{dt} = 4[/tex]

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]

[tex]\frac{dV}{dt} = 1508[/tex]

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Can anyone help me???

Answers

Answer:

x=14√3

y= 28

Step-by-step explanation:

Below i've attached a 30-60-90 triangle

we can see from the picture that the side length opposite from 30 is just a

which means at a=14

The hyp is equal to 2a= 28

and x is equal to 14√3

Please help, I will give brainliest, I am struggling badly.

Answers

Answer:

1 solution

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

4. Cassie has a total of 110 coins in her piggy bank. All the coins are q
total value of $20.30. How many quarters and how many dimes are
Solution:
Reply Reply all Forward

Answers

Answer:

b

Step-by-step explanation:

its easy

Answer:

there are 62 quarters and 48 dimes

Step-by-step explanation:

d + q = 110......d = 110 - q

0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30

11 - 0.10q + 0.25q = 20.30

-0.10q + 0.25q = 20.30 - 11

0.15q = 9.30

q = 9.30/0.15

q = 62 <==== there are 62 quarters

d = 110 - q

d = 110 - 62

d = 48 <==== there are 48 dimes

Find the value of x.
35
21
Х
X=
= [?]
Help

Answers

Step-by-step explanation:

Using Pythagoras theorem

x=✓(35²-21²)=✓784=28 units

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