The equation of a circle is x2 + y2 - 12y + 20 = 0
What are the coordinates of the center and the length of the radius of the circle?

Answers

Answer 1

Answer:

Center: (0, 6); radius = 4

Step-by-step explanation:

x^2 + y^2 - 12y + 20 = 0

We must complete the square in y.

x^2 + y^2 - 12y = -20

x^2 + y^2 - 12y + 36 = -20 + 36

x^2 + (y - 6)^2 = 16

(x - 0)^2 + (y - 6)^2 = 4^2

Center: (0, 6); radius = 4


Related Questions

What is the midpoint between (-4,4)and(-2,2)

Answers

Answer:

i think the first one (-3, 3)

Step-by-step explanation:

let me know if this is wrong



(
x

2
)

3
=
1
x

6
=
x
3

x
3
(x
−2
)
−3

=
x
−6

1

=x
3
⋅x
3


Explain why these exponential expressions are equal to each other. Justify your answer.

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet

Please help, due in 45 minutes.

What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3?

A: -2
B: 2
C: 3
D: -3

Answers

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Hello I have done the question and the answer is 2 so B

What’s the surface area of this prism

Answers

the surface area is acute

a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/

Answers

Answer:

40% chance

Step-by-step explanation:

4 marbles out of 10 are red. 4/10= 0.4= 40%

Answer: 2/5

Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.

To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.

:)

Nola made the model to show multiplying a fraction by a fraction. Which multiplication sentence does the model show?

Answers

Answer:

The answer is "[tex]\frac{2}{3}[/tex]"

Step-by-step explanation:

In this question the graph file is missing which is defined in the attachment section please find it.

Let the 18 square boxes are available, 12 of those are in color.

If published in part, it will be

[tex]\to \frac{12}{18}= \frac{4}{6}=\frac{2}{3}[/tex]

There are two colors out of 3 square boxes.

What is the slope of the line with equation y-3-- _(x-2)?
5
4
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3
2
1
(4.2)
-543
HL
1
2
3
4
5
x
2
-3
4
15


Answers

Answer:

B) -1/2

Step-by-step explanation:

(2, 3) and (4, 2)

Slope:

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

m=(2-3)/(4-2)

m= (-1)/2

m= -1/2

The Slope of the given line is -1/2.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We take two points from the graph as (2, 3) and (4, 2).

Now, the slope of line is

= (3-2)/ (4-2)

= -1 / 2

= -0.5

Using Slope intercept form

y= mx+ b

y= -0.5x+ b

and, b = 4

so, the Equation of line is y= -0.5x+ 4.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Nolan has some nickels and some dimes he has no more than 19 coins worth no less than $1.30 combined if Nolan has 5 nickels determine all possible values for the number of dimes that he could have

Answers

Answer:

10.5 ≤ y ≤ 14

Step-by-step explanation:

A nickel is worth 5 pennies. Changing over to dollars, it becomes  

5/100 = $0.05  

A dime is worth dime. Changing over to dollars, it becomes  

10/100 = $0.1  

Allow x to address the number if nickels.  

Allow y to address the quantity of dimes.  

He has close to 19 coins. This implies that  

x + y ≤ 19  

He has no under $1.30 joined. This implies that  

0.05x + 0.1y ≥ 1.3  

On the off chance that Nolan has 5 nickels, subbing x = 5 into x + y ≤ 19, it becomes  

5 + y ≤ 19  

y ≤ 19 - 5  

y ≤ 14  

subbing x = 5 into 0.05x + 0.1y ≥ 1.3, it becomes  

0.05 × 5 + 0.1y ≥ 1.3  

0.25 + 0.1y ≥ 1.3  

0.1y ≥ 1.3 - 0.25  

0.1y ≥ 1.05  

y ≥ 1.05/0.1  

y ≥ 10.5  

Along these lines, all potential qualities for the quantity of dimes that he could have would be  

10.5 ≤ y ≤ 14


How many WNBA athletes played in China in the 2018-
19 season?
A. 4
C.11
B.8
D. 20"

Answers

Answer:

C. 11

I hope it's right and helpful

Answer:

c 11

Step-by-step explanation:

c 20 hg ch gggggghubydyh

Mhanifa can you help this is due soon!!

Answers

Answer:

Question 1

Given pentagon

Sum of interior angles:

S = (5 - 2)*180° = 540°

Sum of exterior angles is same for any polygon:

360°Question 2

Given hexagon

Sum of interior angles:

S = (6 - 2)*180° = 720°

Sum of interior angles of a given hexagon:

x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°

9000 is perfect square number?​

Answers

Step-by-step explanation:

no it's not.....

........

Answer:

no

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

x^(2)-4x-17=0
Please show work step by step

Answers

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21

Help with this
Please

Answers

Answer:

1. B

2. E

3. D

4. F

5. A

Pleas help will give brainliest

Answers

Answer:

8 steps can be cut

Step-by-step explanation:

20 ÷ 2.5 = 8

Help I need to find measure of m<E asap.​

Answers

Answer: ∠E=55°

Step-by-step explanation:

Concept

- In all similar triangles, their corresponding angle will be the same value

- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°

Given

- Two pairs of corresponding angles

- Two similar triangles

Solve

(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up

6x-15=5x-1 ⇔ Subtract 4x on both sides

x-15=-1 ⇔ Substract 5x on both sides

x=14 ⇔ Add 15 on both sides

 180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180

=180-4(14)-([5(14)-1]

=180-56-69

=55°

Hope this helps!! :)

Please let me know if you have any questions

3954*54534-64563/5435

Answers

Hey There!

[tex]3954 \times 54534 - (64563 \div 5435) \\ = 215627436 - 11.88 \\ = 215627424.120[/tex]

Hope it helps

35points in answered and if correct brainliest.
Read the sentence.

Delightful and entertaining was the way that most viewers found the movie.
What is the best way to restructure the sentence?


The way the viewers found the movie was delightful and entertaining.

The way the viewers found the movie was delightful and entertaining.

Most viewers found the movie delightful and entertaining.

Most viewers found the movie delightful and entertaining.

Delightful and entertaining was the movie as found by most viewers.

Delightful and entertaining was the movie as found by most viewers.

The movie was found to be delightful and entertaining by viewers.

The movie was found to be delightful and entertaining by viewers.

Answers

Answer:

The movie was found to be delightful and entertaining by viewers.

Answer:

D. The movie was found to be delightful and entertaining by viewers.

Hope this helps.

please help hghjhghjjgfhjjjfhgfhbfhgkfgh

Answers

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

C because there are 5 white marbles and 5x3=15 which is the number of black marbles.


Find the midpoint of the line segment joining the points R(1,3) and S(-3,6)

Answers

Answer:

(-1, 4.5)

Step-by-step explanation:

[(1-3)/2, (3+6)/2]

= (-2/2, 9/2)

= (-1, 4.5)

What is the area of the following trapezoid

Answers

Answer:

d. 130

Step-by-step explanation:

Please answer this is the last question :(

Answers

Answer:

A & C

Step-by-step explanation:

Your Answer to this question is A and C

Can somebody help me with this

Answers

Answer:

8) 260 mm

9)? .............

The ratio of teacher to student in a school
is 1:18. There are 540 students. How
many teachers are there in the school?

Please answer me fast

Answers

Answer:

30

Step-by-step explanation:

teacher x

student 18x

18x=540

x=30

In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49



B
2.26+0.490.49



C
2.26−0.492.26



D
2.26+0.492.26


which one

Answers

Answer: its C

Step-by-step explanation:

HOPE THIS HELPS

A student scores 88, 73, 81, 75 , and 78 on the first five science tests of the year. What is the minimum score the student needs to get on the sixth test in order to have a test average of at least

Answers

Answer:

84

Step-by-step explanation:

el 14 es primo ayuda es urgente

Answers

Answer:

no es primo

Step-by-step explanation:

El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.

Help!

A 12-foot ladder leans against a building and makes an angle of 65 degrees with the ground. To the nearest foot, how far from the building is the base of the ladder?

Answers

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?

Answers

Answer:

260 + 4x < 400

Step-by-step explanation:

To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.

First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.

To construct our inequality, we can begin with the estalished $260.

Then, add to this the hourly rate, (x) times the number of hours worked, 4.

So we have-

260 + 4x

The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.

260 + 4x < 400

The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^

Can someone please help?

Answers

1- highest was 98 lowest was 74!

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

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A NOW account requires a minimum balance of $750 for interest to be earned at an annual rate of 4 percent. An account holder has maintained an average balance of $500 for the first six months and $1,000 for the remaining six months. The account holder writes an average of 60 checks per month and pays $0.02 per check, although it costs the bank $0.05 to clear a check.Required:a. What average return does the account holder earn on the account? b. What is the average return if the bank lowers the minimum balance to $400? c. What is the average return if the bank pays interest only on the amount in excess of $400? Assume that the minimum required balance is $400. d. How much should the bank increase its check fee to the account holder to ensure that the average interest it pays on this account is 5 percent? Assume that the minimum required balance is $750. Write an argument either for or against the topic: Teachers should be friends with their students PLEASE HELP ME!!!!!!! Solve the simultaneous equations2x - 5y = 93x + 4y = 2 circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.plot point P on the given coordinate plane. jim invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3%. the total interest that he earned was $540. how much did he invest? The two plots below show the heights of some sixth graders and some seventh graders:Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot above the third mark, 1 dot above the fourth mark, 3 dots above the fifth mark and 1 dot above the sixth mark.The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.8. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.) 1.5 2.2 3.0 4.6 The table shows data Chargaff collected on DNA nitrogenous bases in five organisms.Percentages of Bases in Five OrganismsSource of DNA A T G CStreptococcus 29.8 31.6 20.5 18.0Yeast 31.3 32.9 18.7 17.1Herring 27.8 27.5 22.2 22.6Human 30.9 29.4 19.9 19.8E.coli 24.7 23.6 26.0 25.7Which statement did Chargaff conclude based on these data? Note that a letter in brackets, such as [A] or [C], refers to the concentration of one of the nitrogenous bases. A. in DNA molecules, [T] > [A] > [G] > [C] B. in DNA molecules [A] = [G], and [C ] = [T] C. in DNA molecules, [A] = [T], and [C ] = [G] D. in single-stranded DNA molecules, [A] = [T] = [C ] = [G] What is the connection between wildfires and sea ice? Find the frequency and wavelength of the wave below, assuming it has a speed of 30 m/s If you shift the linear parent function, f(x) = x, down 6 units, what is theequation of the new function? Please help out will give brainliest Read the following information, and answer the questions below: Salvidore and Thomas are both writing a paper for school. At the start of the week, Salvidore has already written 4 pages, and he continues to write 2 pages a day. Thomas has already written 2 pages at the start of the week, but he writes faster at a rate of 2.5 pages a day.Write a linear equation for SalvidoreWrite a linear equation for ThomasAfter how many days will they have written the same number of pages? How many pages will they have written at this point?Using your answer from above, write this information as an ordered pair: what are these in spanish 1. the decorations:2. a birthday:3. the candy:4. a balloon:5. the photo: Can anyone help me ? PLEASE HELP IT'S TIMED, HURRY PLEASE THANK YOU!!!!!!!!!!!! The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied torectangle QPRS to create rectangle QP'R'S?o (x,y) (X-6, y + 4)o (x,y) (x-4, y+6)o (x,y) (x+4, y-6)o (x,y) (X+6 Y-4) Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale) Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help Which statement best explains why Florida and New York have the same amount of electoral votes?(If you need the answer choices look below)A. They are both swing states.B. The popular vote in each state was very similar in 2012.C. Their population sizes are similar.D. They have been states for approximately the same amount of time.{NO FILES}