What is the diameter of a circle with the equation x2 + y2 - 8x + 2y - 8 = 0?

5 units
6 units
9 units
10 units

Answers

Answer 1

Answer:

Diameter is 10 units

Step-by-step explanation:

Convert standard form to general form by completing the square:

[tex]x^2+y^2-8x+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y=8[/tex]

[tex]x^2-8x+16+y^2+2y+1=8+16+1[/tex]

[tex](x-4)^2+(y+1)^2=25[/tex]

[tex](x-4)^2+(y+1)^2=5^2[/tex]

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

Answer 2

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50


Related Questions

Does anyone know how to solve this?
The answer is B but can anyone explain it please

Answers

Answer: sorry no

Step-by-step explanation: sorry i dont want to explain it.

What is the quotient 931/4?

Answers

Answer:

here's a photo of the calculator to that question

free pointttttttttttttttttttts

Answers

yo mama is so fat

when she saw you she died from diabetes

The candy store is selling Twizzlers. They have a sale of four Twizzlers for $6.00. Which equation below represents this proportional relationship?
A. y=1.5x C. y= x 2/3 B. x= 4y D. x= 6y

Answers

Answer:A. y=1.5x

Step-by-step explanation:

x represents the number of twizzlers

1.5 represents the the price that you have to pay for each Twizzlers

And y represents the total cost

is -74.58 an integer

Answers

yes it is. goodluck!

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m=3/2

Step-by-step explanation:

Two points are shown

point 1: (0;-3). 4;3. -2-6

point 2: (2;0)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]

[tex]m = \frac{3}{2} [/tex]

Example of binomial to polynomial
With a complete solution

Answers

Answer:

A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .

A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.

The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = x³

1. shifted four units to the left: f'(x) = (x+4)³

2. eight units down: f''(x) = (x+4)³ - 8

3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8

The final shape after the transformation is f(x) = -(x + 4)³ - 8.

Original function: f(x) = x³

Shifted four units to the left: f(x) = (x + 4)³

Shifted eight units down: f(x) = (x + 4)³ - 8

Reflected in the y-axis: f(x) = -(x + 4)³ - 8

Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.

Learn more about transformation here:

https://brainly.com/question/10904859

#SPJ3

19.1 x 8.6 step by step.

Answers

The is answer is 19.1x8.6= 164.26

Answer:

The is answer is 19.1x8.6= 164.26

Step-by-step explanation:

convert 24580 m into km with process ​

Answers

Answer:

24.58 km

Step-by-step explanation:

1 km = 1000 m

1 m = 1 / 1000 km

24580 m

= 24580 / 1000

= 24.58 km

MATHH QUESTION HELP. mesasuremtns

Answers

Answer:

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)

20^2 + 13^2 = c^2

400 + 169 = c^2

569 = c^2 square root both sides

Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.

Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal

23.85^2 + 35^2 = c^2

568.8 + 1225 = c^2

1793.8 = c^2

Square root both sides of the equation.

Sqrt 1793.8 = c

42.35 ft = c

The diagonal of the roof is just over 42 feet, that is 42.35 feet.

What is the value of 25​

Answers

Answer:

5 po its my volt

Step-by-step explanation:

yan hooo

Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?

Answers

Answer:

$28

20 plus 40 percent

that's the answer

22 loaves of bread have 506 slices of bread how many slices of bread do 6 loaves have

Answers

Answer:

138 slices

Step-by-step explanation:

506 / 22 = 23 slices per loaf

23 x 6 = 138 slices

an object has a mass of 24 grams and a volume of 6cm3. what is the density

Answers

Answer:

4 grams

Step-by-step explanation:

Find the area of the triangle

Answers

Answer:

5/2 units²

Step-by-step explanation:

Area of triangle = 1/2 x base x altitude => 1/2 x 5 x 1=> 5/2

Conclusion:

Therefore, the area of the triangle is 5/2 units².

Hoped this helped.

[tex]GeniusUser[/tex]

What is 3894 x 6? Use the distributive property to solve.

Answers

Answer: 23,364

Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4

Find the equation for a polynomial f(x) that satisfies the following:
- Degree 5
• Root of multiplicity 2 at x = 3
- Root of multiplicity 1 at x = 1
• Root of multiplicity 2 at x = 3
- y-intercept of (0, -162)

Answers

Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²

Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)

Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²

Finally we get this expression : (x-3)²(x+3)²(x-1)

This expression is a polynomial of degree 5 but what is the y intercept of it ?

Basically, we need to replace x by zero and the value of the expression will be the y intercept :

let x = 0

then ,

(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162

We need an y intercept of value = -162

Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)

satisfies all the required condition

Good Luck

what is the answer to this question

Answers

Answer:

a) 32km

b) 40 miles

Step-by-step explanation:

The table below shows the cumulative distance and the number of hours Ryan drove on vacation.

Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620

Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour

Answers

Answer: 62 miles per hour

Step-by-step explanation:

620/10 = 62

The speed of Ryan is given by the slope m = 62 miles per hour

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 186 )

Let the second point be Q ( 4 , 248 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 248 - 186 ) / ( 4 - 3 )

m = 62 miles per hour

Hence , the rate of change of speed is m = 62 miles per hour

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Free tutor + free answer thank you give me that please

Answers

Answer:

Given that they know the law I think 82.93% of drivers obey this law

Answer:

the answer is

Step-by-step explanation:

i took the test

find the inverse of f(x)=x^2-3x+2

Answers

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5

finding the missing number 2 4 6 __ 10 12​

Answers

Answer:

8 because the pattern goes up by 2 each time

Answer:

8

Step-by-step explanation:

The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:

f(t)=200+1,200(0.73)2t,

where t is measured in years since the computer was purchased.

Use the drop-down menus to complete the explanation of how the function models the computer's value over time.

Answers

Answer:

$14000200

Step-by-step explanation:

a)

Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.

  f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1

  f(0) = 1400

When t=0, the value of the computer is 1400 dollars.

__

b)

The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.

__

c)

The exponential term gets closer to 0, so the function value gets closer to ...

  f(∞) ≈ 200 +0 ≈ 200

f(t) gets closer and closer to 200.

Answer:

1) 1,400

2) 0

3) 200

Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help

Answers

Answer:

3n + 12

n + n + n + 4 + 4 + 4

(n+4) + (n+4) + (n+4)

Step-by-step explanation:

Simplify 3(n+4).

3 x n = 3n

3 x 4 = 12

3n + 12

Expand.

3(n+4)

3 x n = n + n + n

3 x 4= 4 + 4 +4

And

3(n+4)

= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)

A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)​

Answers

Answer: B. (-3, 0)

Step-by-step explanation:

y = -3x - 9...(1)

y = 3x + 9...(2)

Substitute (1) into (2)

3x+9=-3x-9

6x=-18

x=-3

Substitute y=0 into (1)

y=3(-3)+9

y=0

Therefore, the solution to the system is the ordered pair (-3, 0)

help with this please

Answers

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

please help ill mark brainliest​

Answers

Answer:

Pretty sure it is SAS as the angles are congruent

Step-by-step explanation:

Answer:

number 4

Step-by-step explanation:

both triangles use the aa as a point

Classify the following polynomial by its degree value. -x + x26 - 104​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = 25x - 104[/tex]

Step-by-step explanation:

[tex] - x + x26 - 104[/tex]

use the commutative property to reorder the terms

[tex] - x + 26x - 104[/tex]

collect like terms

[tex] = 25x - 104[/tex]

hope it helps

There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?

Answers

Answer:

8 turtles joined the group

Step-by-step explanation:

13-5=8

Other Questions
If a nucleus has eight chromosomes following replication, how many chromatids does it have? Part A What is the main idea of the essay? Support your answer with evidence from the text.Part BWho is the audience for the article? Include details such as age and level of education. Support your answer with evidence from the text.Essay " Design out of a Paper Bag" by Henry PetroskiI will give brainliest How did the industrial Revolution change the lives of middle-class British women? A. They begin to receive the same wages as men. B. They entered the workforce as domestic servants. C. They began to attend college to train for careers as teachers. D. They became isolated from their families working long hours in factories. Answer: Which of their clients' needs do morticians meet by providing their services? belonging and esteem needs physiological and esteem needs safety and belonging needs physiological and safety needs Which statement explains how the word tempestuous contributes to the meaning of the sentence?Despite their tempestuous relationship, Daphne and her sister are actually very good friends.20 points pls hurry!!!!It means "full of conflict"; it shows that their tempers are short-lived.It means "quiet"; it shows that the sisters wish their lives were more exciting.It means "loving"; it shows that the sisters rarely fight.It means "confusing"; it shows that the sisters dont understand each other. What makes a hero? Who are the individuals that you consider to be heroic? What are heroic deeds? What are some heroic qualities? Is halle berry in the caesars commercial with the manning. Why do you think it was so important for both the British and the Americans to control the Great Lakes during the War of 1812?Select the best answer from the choices below.OA.The British ships already controlled the Atlantic Ocean..The lakes held the majority of the British navy's ships..The lakes could carry armies and supplies straight into Canada or the U.S.OD.The lakes provided access to every American state. Solve the system of equations. y=x-5; y=x^2-5x+3 A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print Passage A One way to enjoy a healthier lifestyle is to grow your own vegetables. That way, you know they are free from harmful chemicals. Where do you start if you want to grow your own healthy food? Start with the soil.If this is your first adventure in gardening, start small. Choose plants that are easy to tend and that will grow well in the soil you have. Deciding what to grow is the first step and it will help decide how big of a garden you want. Not all plants grow in the same way. You have to consider which plants prefer sunlight and which prefer shade. This will help with picking the best spot for your garden.Once you have decided where you will plant your garden, you can move on to planning your garden's layout. You don't want your tall plants growing next to the shorter ones and blocking out the sun. You also want to make sure there is enough room between the rows to allow for weeding. Proper planning makes planting a breeze.Passage B It is more expensive to build a green roof than it is to lay asphalt or shingles on a roof, but the trend is growing. The basic green roof requires a frame, waterproof membrane, gravel for drainage, fibrous material to retain moisture, soil for planting, and a barrier that prevents roots from penetrating the building.Green roofs started in Europe and are now gaining a strong foothold in the United States. The largest green roof in New York City is built on the roof of a processing and distribution facility. It is actually the biggest green roof in the country. Being in New York, it has faced snow, rain, freezing, and thawing. It has survived it all.The city of Chicago, Illinois, now has more green roofs than any other U.S. city. There are 7 million square feet of green roofs planted across the city. Toronto, Canada, is the first city in the western hemisphere to mandate green roofs on all new tall buildings. Green roofs are beneficial, not only to the environment, but also to the cities that build them. A recent study in Toronto suggested that if 75 percent of the flat roofs were greened, the city could save $37 million a year on storm water management and energy bills.Explain why people are building green roofs to live healthier lives. Use information from both texts in your answer. PLSS HELP The term "falling action' best describes which narrative element?A. PlotB. ConflictC. Point of viewD. Character Help Im so confused 4) What was the attitude of Church leaders and the wealthy toward the arts? Why?5) How did the study of the classics influence branches of learning such as history, literature, and philosophy?6) What were the differences between medieval and Renaissance attitudes toward worldly pleasures? How did the change in narration affect the story (Great Gatsby, chapter 5) ? help me plzzz i really need help its also in Spanish plzzzzzzzzzzzz help meeeee(ToT)(ToT)(ToT) (PLEASE HELPP) The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ? After Mary finished college, began working in her chosen field, and started a family, her thinking became: As a bank loan officer, you are considering a loan application by Endurance Sporting Goods. The company has provided you with the following information:Cash $ 25,000Account Receivable $45,000Inventory $140,000Fixed Assets $190,000Current Liabilities $70,000Long-Term Liabilities $90,000Endurance Sporting Goods debt to owners' equity ratio (rounded to the nearest tenth of a percent) is . You must extinguish your cigarettes