The equation of a circle is given below.
(x - 5)² + (y + 2)² =81/4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units

Answers

Answer 1

Answer:

Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2

Step-by-step explanation:

where  a  and b are the center off sets in the x and y directions , repspectively.  

(x - 5)² + (y + 2)² =81/4

So you now know,  the center is at   (x,y) = ( 5, 2)

and the radius is   [tex]\sqrt{\frac{81}{4} }[/tex]  ,  why is is square rooted ?  you ask.

because in our formula above it's   r^2  .. so we need to square root it to find it's value.

[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex]  =  [tex]\frac{9}{2}[/tex]  =  4.5  rounded to two decimals    4.50 but not necessary


Related Questions

Find the volume, in cubic feet, of the solid with the regular base to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Remark

The base of the figure is a pentagon

The area of the base of a pentagon is

A=(1/4) * √[5(5+2√5)] * s2

The Formula for the Volume of a "pyramid" of this nature is

Volume = Base * h / 3

 

Givens

h = 10 feet

s = 8 feet

Base = formula in the remark section

Solution.

Find the base first.

A=(1/4) * √[5(5+2√ 5)] * s2     Find the value of 5 + 2√5

Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign

Area = 0.25√47.36   * s^2     Take the square root of 47.36. use s = 8

Area = 0.25 * 6.88 * 8^2         Combine.

Area = 110.11

Now find the volume

V = B * h/3

V = 110.11 * 10 / 3

V = 367.04     cubic feet.

A teacher wants to assign 4 of the 15 practice problems at the end of the lesson. How many different assignments are possible?

Answers

Answer:

15/4= 3.75

Step-by-step explanation:

Select the expressions that have a value less than -1.

A. -7 ÷ (-4)

B. – (3 ÷ 2)

C. -8/5 x (-5/8)

D. -5/-3

E. (-9) ÷ 6

Answers

Answer:

B and E

Step-by-step explanation:

A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75

B. -(3 ÷ 2) = -(1.5) = -1.5

C. -8/5 * (-5/8) = (8/5) * (5/8) = 1

D. -5/-3 = 5/3 ≈ 1.667

E. -9 ÷ 6 = -9/6 = -1.5

Which algebraic rule describes the translation of ADEF to AD'E'F?

Answers

Answer:

B: (x, y) --> (x + 4, y - 3)

Step-by-step explanation:

the shape DEF went to the right along the x axis wich increased x and then went down the y axis or decreased y to make D'E'F'

some good way to remember these translations and orders are...
 - x is first when plotting points, then y (x, y)
 - x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down

BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))

Pls help me
Pls show your answer pls and thank you

Answers

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

okay let's start

Step-by-step explanation:

[tex]use \: sine \: rule \\ \frac{x}{ \sin(31) } = \frac{42}{ \sin(59) } \: \: taking \: angle \: at \: c \: as \: 90 \\ x = \frac{ 42 \sin(31)}{ \sin(59)} \\ x = 25.236146[/tex]

Find the volume of the pyramid.

A pentagonal pyramid with base labeled as B equals 210 square inches. The height of the pyramid is 30 inches.

Answers

Answer:

6300in

Step-by-step explanation:

vol=base area x height

210x30

=6300in

A man traveled 24 miles in 20 minutes and 18 miles in 15 minutes. Assume that the distance varies linearly with time. How far will he travel in 30 minutes

Answers

Step-by-step explanation:

First we need to get his speed:

speed = distance / time

If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute

If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute

Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.

Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles

please mark me as brainliest

A standard deck of cards has 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, ace) in each
of 4 suits (hearts, clubs, diamonds, spades). The hearts and diamonds cards are red. The
clubs and spades cards are black. You choose a card from a standard deck of cards at
random. What is the probability that you do not choose a club?

The probability that you do not choose a club is

Answers

Answer:

3/4

Step-by-step explanation:

Prob to pick a club is 13/52

Prob not to pick a club is 1 - 13/52

1 - 13/52 = 3/4

Find the surface of the rectangular prism

Answers

Answer:

yes multiply the 3 sides 3 times together with the number 2

Find the area of the parallelogram. (the far right number is 10.5m and the bottom is 12m)




84 m2


96 m2


126 m2


108 m2

Answers

HI BRAINLY USER!!

⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰JUST CLICK THE ATTACHMENT PHOTO

SolutionA = bh = 10.5·12 = 126

Ans :➝ 126 m2

⊱─━━━━━━━━━⊱༻

●༺⊰━━━━━━━━━─⊰

IM NOT UNDERSTAND THIS EQUATION CAN SOMEBODY HELP ME

Answers

Answer:

x = 0, mult: 3x = -4, mult: 2x = -5, mult: 2

Step-by-step explanation:

When a polynomial is shown in factored form, its zeros are the values of x that make the factors zero.

  The factor x is zero when x=0.

  The factor (x+4) is zero when x=-4.

  The factor (x+5) is zero when x=-5.

__

The multiplicity of a zero is the number of times a given factor is a factor of the polynomial. It is the exponent of the factor.

 x = 0 has multiplicity 3.

  x = -4 has multiplicity 2.

  x = -5 has multiplicity 2.

A rectangular window has a height of 5 1/2 feet and a width of 1 1/2 feet. What is the perimeter of the window?

A. 7 feet
B. 13 feet
C. 14 feet
D. 28 feet

Answers

Answer:

Your answer is C, 14ft

Step-by-step explanation:

Your Given Measurements (in feet):

Height = 5 1/2 ; Width = 1 1/2

___________________________________________________

The Perimeter Formula:

L + W + L + W = P

In this case, the "L" which is length going to get substituted as Height.

5 1/2 is 5.5 because if you do 1/2 on the calculator, you get 0.5 which you can add 5 to get 5.5.

1 1/2 is 1.5 which is the same as the 5 1/2.

____________________________________________________

Now do 5.5 + 1.5 + 5.5 + 1.5 = perimeter

5.5 + 1.5 = 7

7 + 7 = 14ft

Your answer is C: 14 ft

Please see attached photo for problem from my homework set.

Answers

Answer:

see below  

Step-by-step explanation:

(7y +9 )(7y +9 )      or   (7y+9)^2         you ALMOST had it...just missed the parentheses !


13-18 Express the quantity as a single logarithm.
13. [tex]2 \ln x+3 \ln y-\ln z[/tex]

Answers

[tex]2 \ln x+ 3 \ln y - \ln z\\\\=\ln x^2 + \ln y^3 - \ln z\\\\=\ln(x^2 y^3) - \ln z\\\\=\ln \left( \dfrac{x^2y^3}{z} \right)[/tex]

What does 4! Equal?show the equation and what it equals

Answers

Answer:

[tex]\boxed{\sf{24}}[/tex]

Step-by-step explanation:

To solve this problem, first, you have to use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

4!

Use the fractional rule.

[tex]\Longrightarrow: \sf{n!= 1*2*3*4}[/tex]

First, multiply.

1*2=2

2*3*4

2*3=6

6*4=24

[tex]\Longrightarrow: \boxed{\sf{24}}[/tex]

Therefore, the correct answer is 24.

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

You want to buy a television priced at $479 with a 6.5% sales tax. What is the final cost of the television, after-tax? Round to the nearest cent.

Answers

Answer:

On Knewton May 15,2022 $510.14

Step-by-step explanation:

Logic question.
Promise the Brainliest if you provide the answer with a solid explaining.
Thanks :)​

Answers

The answer is c because if u look at picture 1 2 u can see that the middle number has to be high to the closet

In the decimal 14.8765 the 5 is in the
place.

Answers

the 5 is in the ten thousandths place

Answer:

The 5 is in the thousandths place

8 is the 'ones'

7 is the tenths

6 is the hundredths

5 is the thousandths

Step-by-step explanation:

On the map below 1/4 inch represents one mile. Candler, Canton, and Oteen are three cities on the map. If Candler and Oteen are 3 1/2 inches apart on the map, what is the actual distance between Candler and Oteen in miles?

Answers

Answer:

14 miles

Step-by-step explanation:

Let "Candler" be known as "C" and "Oteen" as "O"

Given:

0.25 inch = 1 mileDistance between "C" and "O" (In inches): 3.5 inches

3.5 ------> 3.50

⇒ Distance between "C" and "O" (In inches): 3.50 inches

Comparing the rate (inches/mile) and the distance:

⇒ 0.25x = 3.50

Multiplying both sides by 100:

⇒ 25x = 350

Clearly, 350 is divisible by 25 as "50" is divisible by 25.

Divide both sides by 25 to isolate x:

⇒ 25x/25 = 350/25⇒ x = 14

The actual distance between the two cities is 14 miles.

Answer:

14 miles

Step-by-step explanation:

Given:

[tex]\sf Scale=\dfrac14\:in : 1\:mile[/tex]distance between Candler and Oteen is 3 1/2 in

Let [tex]x[/tex] be the distance between Candler and Oteen in miles.

[tex]\implies \dfrac14:1=3 \frac12:x[/tex]

[tex]\implies \dfrac{\frac14}{1}=\dfrac{\frac72}{x}[/tex]

[tex]\implies \dfrac14x=\dfrac72[/tex]

[tex]\implies x=\dfrac72 \div \dfrac14[/tex]

[tex]\implies x=\dfrac72 \times \dfrac41[/tex]

[tex]\implies x=\dfrac{28}{2}[/tex]

[tex]\implies x=14[/tex]

In the problem: "63% of what number is 792?" the number being sought is the

Answers

Answer:

Set up an equation using these key terms:

63% can be considered 63/100'what number' can represent 'x'(our unknown value).'of' means multiplication'-is 792' means the product is equal to 792

Form the equation by piecing these key terms together:

63/100(63%) ×(of) X(The number being sought) = 792("-is 792)

63/100 × X = 792

(63/100 can be simplified to 0.63)

So, rewrite the equation to:

0.63 × X = 792

Solve for x!

0.63x = 792

Isolate 'x' by dividing 0.63 from both sides because the inverse operation of multiplication is division.

÷0.63 ÷0.63

x = 1,257.14285714 which can be rounded to 1,257.14.

Therefore, the number being sought is 1,257.14.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

[tex]\sf x=\boxed{18.21}[/tex]

Step-by-step explanation:

Assuming this is a right triangle.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 35°O = xA = 26

[tex]\implies \sf \tan(35^{\circ})=\dfrac{x}{26}[/tex]

[tex]\implies \sf x=26\tan(35^{\circ})[/tex]

[tex]\implies \sf x=18.20539599...[/tex]

Therefore, x = 18.21 (nearest hundredth)

The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?

Answers

Answer:

add sll number so you will get answer

dd

Step-by-step explanation:

Algebra Write an expression representing the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r.

Answers

The expression that represents the volume of the composite figure is 16/3πr³ + r³

The expression that represents the volume?

The given parameters are:

Hemisphere radius = rCube length = r

The volume of a cube is:

V = l³

So, we have:

V = r³

The volume of a hemisphere is:

V = (2/3)πr³

So, we have:

V = (2/3)π(2r)³

Evaluate

V = (2/3)π * 8r³

This gives

V = 16/3πr³

Add both volumes

Volume = 16/3πr³ + r³

Hence, the expression that represents the volume of the figure is 16/3πr³ + r³

Read more about composite figure at:

https://brainly.com/question/21135654

#SPJ1

Cosx(tanx+cotx)=

Pls Help

Answers

Answer:

Answer is csc(x)

Step-by-step explanation:

I convert tan(x)= sin(x)/cos(x) and cot(x)= cos(x)/sin(x).

Then distribute the cos(x).

Then turn it into fractor that has same denominator.

Simplified the numerator sin^2(x)+cos^2(x)=1

[tex]cos(x)*\((tan(x)+cot(x))\\\\cos(x)*(\frac{sin(x)}{cos(x)} +\frac{cos(x)}{sin(x)})\\\\sin(x)+\frac{cos^2(x)}{sin(x)}\\\\sin(x)*\frac{sin(x)}{sin(x)}+\frac{cos^2(x)}{sin(x)}\\\\\frac{sin^2(x)}{sin(x)}+\frac{cos^2(x)}{sin(x)}\\\\\frac{sin^2(x)+cos^2(x)}{sin(x)}\\\\\frac{1}{sin(x)}\\\\csc(x)[/tex]

Answer:

→cosecx

Step-by-step explanation:

[tex]\hookrightarrow cosx(tanx+cotx)\\\\\hookrightarrow cosx(\frac{sinx}{cosx} +\frac{cosx}{sinx} )\\\\\hookrightarrow cosx(\frac{sinx \times sinx + cosx \times cosx}{cosx*sinx} )\\\\\hookrightarrow cosx(\frac{sin^{2}x+cosx^{2}x}{cosx*sinx} )\\\\\hookrightarrow cosx(\frac{1}{cosx*sinx} )\\\\\hookrightarrow cosx \times \frac{1}{cosx} \times \frac{1}{sinx} \\\\\hookrightarrow 1\times\frac{1}{sinx} \\\\\hookrightarrow \frac{1}{sinx} \\\\\hookrightarrow cosecx[/tex]

What is the result of adding -3x²-5x +1 and 8x²-2x-9?

Answers

Hi!

Your answer is [tex]5x^2-7x-8[/tex].

We are asked:

[tex](-3x^2-5x+1)+(8x^2-2x-9)[/tex]

As we are adding them, we can remove the parenthesis.

[tex]-3x^2-5x+1+8x^2-2x-9[/tex]

Now, we can switch the order of the terms around to cause like terms to be by each other:

[tex]-3x^2+8x^2-5x-2x+1-9[/tex]

Finally, add like terms:

[tex]5x^2-7x-8[/tex]

5x² -7x -8 is the result of adding the polynomials -3x²-5x +1 and 8x²-2x-9. The result obtained by combining the like terms.

The two polynomials are  -3x²-5x +1 and 8x²-2x-9.

To add the two polynomials, you simply combine like terms.

Like terms are terms that have the same variable raised to the same power.

In this case, the variables are x² and x.

Let's add the given polynomials:

= -3x²-5x +1 + 8x²-2x-9

Group the like terms:

= -3x²+ 8x²-5x-2x+1-9

Combine like terms:

= 5x² -7x -8

Hence, 5x² -7x -8 is the result of adding -3x²-5x +1 and 8x²-2x-9.

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ3

The cost of beef decreases weekly at a rate of 10.2%. If beef cost $15.75 per pound today. How much will it cost in 2 years? ( round to the nearest cent (2 decimal places) )

Answers

Answer:

$ 383 854.28  per pound  ====>   See below !!

Step-by-step explanation:

Increases 10.2 % per WEEK   (??  Per WEEK?))  

  2 years is 104 weeks    (this is going to be a HUGE number)

15.75 (1+.102)^104 =

If increase is YEARLY

15.75 ( 1 + .102)^2 = $ 19.13 per pound    <<<<after two years

the circumference of a circular patio is 53.38 Ft what is the area of the patio use 3.14 for an approximation for pi​

Answers

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=53.38 \end{cases}\implies 53.38=2\pi r\implies \cfrac{53.38}{2\pi }=r\implies \cfrac{26.69}{\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{6em}A=\pi \left( \cfrac{26.69}{\pi } \right)^2\implies A=\cfrac{26.69^2}{\pi }\implies \stackrel{using~\pi =3.14}{A\approx 226.87}[/tex]

Sandra 11.2 kilometers after school while her brother ran 8000 meters who ran more ?

Answers

Answer:

Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

Answer: Sandra

Step-by-step explanation: Because 11.2 kilometers is a bigger number then 8,000 and also 11.2 kilometers is 11,000.2 and 8,000 as an kilometer is 8. Hope it Helps

kvnaebivaebriebhaeibnebaeb g

Answers

lol sameeeeeeeeeeeeeeeeee
Other Questions
Solve for an angle in right triangles. Round to the nearest hundredth 1.Mr. Clancy is visually impaired. You notice thathis coffee table is quite a distance from his couch.After assisting Mr. Clancy to his bedroom, whatshould you do?O A. Move both the couch and the coffee table.B. Move the couch, but not the coffee table.C. Move the coffee table, but not the couch.D. Leave the coffee table and couches wherethey are. Unilateral sleep refers to the ability to sleep with only one side of the brain. please select the best answer from the choices provided t f this sentence is written in the indicative mood. How might it be written into the interrogative mood El abuelo de Godar explica el extraordinario inters en Aydin con la siguiente oracin: Los hombres consumen historias cuando las suyas no les reportan demasiado. Qu significado tiene esta afirmacin! find the angle between unit vector I and a=3i+j What number would you divide by to calculate the mean of 2, 5, 4, and 3? Find the Product and Combine similar terms.1. -1(7+4b) =2. x(x2xy+y) =3. -5x(-3+x) = Can someone help me please? I need the answer today. So please please could you help me? Given the functions below, find f(2)-g(-7).Will give brainliest :)) Why does the author claim we cant dismiss romeo and juliets love?a. because they are teenagersb. because they have a genuine connectionc. because it was written by Shakespeare d. because they get to know each other Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufus pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his fathers. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafres pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufus pyramid than Khafres? Which of the following is an example ofnegative feedback?A. erosion of soil that results in increased amounts oferosionB. exponential population growth leading to more birthsand higher population growth rates5C. melting of arctic ice leading to higher and higher globaltemperatures and more ice meltingD. water moving into the roots of plants and out of leavesleading to more water moving into the roots In one or two sentences, explain what the main impact tsunamis cause on humans. Why is it difficult to avoid a tsunami? On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the table Secondary data sources consist of ___. Group of answer choices Individual health record Registries Healthcare claim Care plan I need help please help PLEASE HELP ASAPGreensboro N.C.February 12, 1938Mrs. Eleanor Roosevelt,Washington D.C.Dear Mrs. Roosevelt On January 1st I was laid off from my work, leaving my father the whole support of our family. Just recently he was cut down to three days a week with a cut in pay. With seven of us in the family, it is just about impossible for us to live on this amount of money. Our bills are piling up, and we are behind on our rent. I am 18 years of age, the oldest girl in the family, and it just seems impossible for me to get a job any where. I have been to mills, stores and firms of all sorts. I am willing and able to work. It just seems impossible to find work. If you could help us out with money from $35.00 to $50.00, I believe we would be the happiest family in the world. Just as soon as I get back to work, I will pay you back as much a week as possible until your kind favor has been fully repaid.Gratefully yours,D.B.This letter was written during the Great Depression. The young woman has written to Mrs. Roosevelt becauseA. she wants to go to work for the Roosevelts in Washington.B. she would like some money so her family can go on vacation.C. her family is doing well, and she wants Mrs. Roosevelt to know.D. She needs money to help her family pay their bills. Help me please rjdjfhdhdbdbdbdbdb If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?