Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0

Answers

Answer 1

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

How to determine the circle equation?

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

https://brainly.com/question/1559324


Related Questions

simplify the expression below
5/6 (12p - 42)

Answers

Answer:

[tex]\boxed{\sf{10p-35}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

A(B-C)=AB-AC A(B+C)=AB+AC

[tex]\sf{\dfrac{5}{6}=(12p-42) }[/tex]

Multiply by expand.

[tex]\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}[/tex]

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

[tex]\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }[/tex]

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

[tex]\Longrightarrow: \boxed{\sf{10p-35}}[/tex]

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer:

[tex]10p - 35[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{5}{6}(12p - 42)[/tex]

[tex](\frac{5}{6}*12p) + (\frac{5}{6} * (-42))[/tex]

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

Step 2:  Simplify the expression

[tex]\frac{60p}{6}-\frac{210}{6}[/tex]

[tex]10p - 35[/tex]

Answer:  [tex]10p - 35[/tex]

(pls help)

Which of these graphs does not represent a function?

Answers

Answer:

d

Step-by-step explanation:

d is not a function as it doesn't have correct function potential in linear x and y axis

Graham has $720 in a savings account that earns 1.5% annually. How much total will he have in 6 months?

Answers

Answer:

337,996.8 Philippine Peso Php

and here's a us

6,480 US Dollar USD

which function represents this sequence (1,6) (2,18) (3,54) (4,162) (5,486)

Answers

Step-by-step explanation:

3 54 4 162 5 486

sorry if I'm wrong

WILL MARK BRAINLIST!!!!

Answers

Answer:

parallelogram

explanation:

way to know if a quadrilateral is a parallelogram is if opposite sides are actually.

Answer:

I believe the answer is probably parallelogram because it is undetified if it is equivalent on the sides or not. If the sides were equal it would be an isosceles trapezoid and if they weren't it would be a trapezoid. Since there is not enough info about the side legnths of the figure it would more than likely be a parallelogram.

DONT UNDERSTAND AT ALLL

Answers

Her screen is a triangle duh

Answer:

finding the area:

146

Step-by-step explanation:

You need to break the image up into 3 pieces. the lower big triangle, the middle square, and the top triangle.

the measuremets of the lower big triangle is 14 and 14.
to find the area, we need to do 1/2 *14*14
this equals 98

The measurements of the square is 4,4.
we multiply 4*4 to get 16

The measurements of the top triangle is 8,8.
We find the area by doing 1/2*8*8
We get 32

lastly, we add up all of our solutions.
we do 98+16+32
we get 146.

To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.


c = 35 + 6h


Which of these is the hourly rate?

I WILL MARK BRAINLIEST
To rent a paint sprayer at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the paint sprayer is rented for h hours.


c = 35 + 6h


Which of these is the hourly rate?


6

6h

35

35h

Answers

Answer:

6

Step-by-step explanation:

35 is the first fee, so you exclude that and so the answer would be 6

what is the correct answers NEED ANSWER ASAP​

Answers

Answer:

Reflection over x-axis

Horizontal shift right 1

Vertical shift up 6

Step-by-step explanation:

see image to see how to find this infor in the equation.

Horizontal changes are in close to the x, but opposite of what you might think. Minus shifts RIGHT and plus shifts LEFT.

Answer:

Your answer:

Horizontal shift right 1.Vertical shift up 6.Reflect over the x-axis.

Step-by-step explanation:

[tex]f(x)=x^2 , g(x)=-(x-1)^2+6[/tex]

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

For g(x) our (h,k) = (1,6)

h - translate right/left, our h = 1 is right 1.

h - translate up/dqwn, our k = 6 is up 6.

If a = positive - no reflect x-axis. If a = negative - reflect x-axis.

Two people are randomly chosen from an office with 4 managers and 8 office workers. If the first person, a manager, is not replaced, find the probability of choosing a second person who is an office worker.

Please help I'm desperate :(

Answers

Answer:

8/11 or 73%

Step-by-step explanation:

# of office workers to whole

Find the percentage of 8/11

Hopefully this helps, good luck!

PLS HELP ME I WILL GIVE 100

Answers

Answer:

13

Step-by-step explanation:

[tex] s = \sqrt{ {13}^{2} + {2}^{2} } = \sqrt{169 + 4} \sqrt{173} = 13.15[/tex]

[tex]t = \sqrt{ {13}^{2} + {2}^{2} + 2 {}^{2} } = \sqrt{177} = 13.30[/tex]

What is the measure of ZXYZ shown in the diagram below?
36°
114°
A. 36°
B. 39•
C. 75°
D. 78

Answers

Answer:

39 deg

Step-by-step explanation:

The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs.

(114-36)/2 = 39 deg

Read this sentence from “A Spelunking Trip.”

They hastened into the cave and stood still until their eyes grew accustomed to the dim light.

Based on this sentence, what does accustomed mean?

A.fascinated by

B.unfamiliar with

C.used to

D.blind

Answers

Answer:

Used ti should be the correct answer

Step-by-step explanation:

anyone knows the answer?!​

Answers

[tex]\bold{ANSWER:}[/tex]
81

[tex]\bold{EXPLANATIONS:}[/tex]

PLEASE HELP!!!!
11.) A restaurant chain's owners are trying to decide if they want to open up a franchise in your
town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling
method? Explain.

12. Is there any bias in the following survey question? Explain.

Do you prefer delicious chocolate ice cream or boring vanilla ice cream?

Answers

Answer:

11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.

12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.

(Sorry if this was too late for you by the way.)

Earnings from a financial investment, usually stated as an annual percentage
rate are:
O risks.
expenses.
O dividends.
O returns.

Answers

Answer:

O returns.

Step-by-step explanation:

Can anyone help been stuck for a while​

Answers

Question:

Can anyone help been stuck for a while

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

30 regular flavors.

25 watermelon flavors.

Add them both and you get:
55.
Turn that into a fraction:

[tex]\frac{25}{55}[/tex]

The reason the numorator is 25 is because there are 25 watermelon flavors and 55 flavors total.

Find the GCD (or HCF) of numerator and denominator.

The GCD of 25 and 55 is 5.

Divide both the numerator and denominator by the GCD

25 ÷ 5 = 5

55 ÷ 5 = 11

Reduced fraction:

[tex]\frac{5}{11}[/tex]

Therefore, [tex]\frac{25}{55}[/tex] simplified to lowest terms is:

[tex]\frac{5}{11}[/tex]

Therefore, the answer is: [tex]\frac{5}{11} \\[/tex]

Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he started?

Answers

4 steps more north from where he started
I think

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Steve is 4 steps in the north.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Pedro found a treasure map that said to take 12 steps north, then 8 steps south.

Steve in relationship to where he started will be

By Pythagoras theorem

[tex]\rm H^2 = P^2+B^2\\\\H^2 = (0.0)^2 + (12-8)^2\\\\H^2 = 4^2\\\\H \ = 4[/tex]

Steve is in 4 steps in the north.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Attempt 2

A student randomly selects two buttons from a box containing 32 red buttons, 48 blue buttons, 44 green buttons, and 51

yellow buttons. Compute the probability, as a decimal ratio with four decimal places, of selecting two red buttons.

Answers

The probability of drawing two red buttons is:

P = 0.0326

How to get the probability?

There are:

32 red buttons.48 blue buttons.44 green buttons.51 yellow buttons.

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

36.4+(-68.15) how do I compute this?​

Answers

Answer:

-31.75

Step-by-step explanation:

[tex]36.4+(-68.15) \\ \\ = 36.40 - 68.15 \\ \\ = -31.75[/tex]

⚠️‼️ HELP PLEASE GIVING POINTS ​

Answers

Answer:

CBD = 63 degrees

Step-by-step explanation:

To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:

(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6

Now that we know the value of x, we factor it in to CBD to find its true value:

6x+27
6(6)+27
36+27
= 63 degrees

To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:

7x-9
7(6)-9
42-9
= 33 degrees

63 + 33 = 96

The answer is correct. CBD = 63 degrees and ABC = 33 degrees.

What is mCD. The answer is 60 but i need the work

Answers

Answer:

Arc cd = 60 degrees

Step-by-step explanation:

Angle E is an inscribed angle ....inscribed angle will intercept twice as many degrees of arc as the angle measure

  angle measure = 62    twice as many degrees of arc = 124  (b-c-d)

     bc = 64    so   cd  = 60    for the total of 124

The surface area of a sphere is 200. 96 square centimeters. What is the approximate volume of the sphere? Use 3. 14 for pi

Answers

Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Need help ASAP! 5th grade math, will give brainliest! c: (you may want to attach a photo to show your work!)

Answers

Answer:

5/6, 3/10, 1/2

Step-by-step explanation:

1.5 cakes are shared equally between 6, meaning there are 5/6 of a cake for each person.

2. The pizza is shared equally between 10 people, meaning each person gets 3/10 of a pizza.

3. Each person receives 1/2 of a granola bar as as simplified version 0f 4/8 is 1/2

An explanation would be appreciated!!

A blueprint of a plot of land has a scale of cm to m. The length of land measures 15 cm on the blueprint. If l represents the length of the actual piece of land, what is l?

Answers

Answer:

Answer: l = 82.5

Step-by-step explanation:

11/2 x 15 = 82.5.

Joe bought a house for $200,000. The value of the house can be represented by the formula V = 200,0
t represents the number of years since Joe purchased the home. About how many years will it take for
home to be worth more than twice its purchase price?

Answers

21

The value of the home after 21 years is 200,000(1.035)^21=411,886.29

Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector <−6, 3>.

Answers:
P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)
P ′(2, −8), L ′(7, −10), K ′(−3, 5)
P ′(−10, −8), L ′(−5, −10), K ′(−15, 5)
P ′(2, −2), L ′(7, −4), K ′(−3, 11)

Answers

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

Which point is located at -0.135−0.135minus, 0, point, 135?

Answers

Answer:

Point D

Step-by-step explanation:

Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1

Hope this helps and brainliest please

Answer:

point D

Step-by-step explanation:

as it increases its sums with 0.1

but in between the lines it sums up with 0.05.

I will give BRAINILEST

Answers

Answer:

5/12

Step-by-step explanation:

10 out of 24 earned an A    ...that is the probability  

    10/24   = 5/12

Would a Linear, Quadratic, or Exponential model best fit?
Henry opened a bank accountwith $500. Then he deposited $100 every month.
A.Linear
B.Quadratic
C.Exponential
D.None of the Above

Answers

Linear

We know this because it keeps a constant change throughout. There’s no added 15% per say. Thus, it’s linear! Hoped this helped!

please helpppppppppppppppppppppp

Answers

Answer:

1/8 Hour(s) longer

Step-by-step explanation:

5/8-1/2= 1/8

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