This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?

Answers

Answer 1

Answer:

  17

Step-by-step explanation:

The geometry program that drew the circle through the three given points wrote this equation for the circle:

  (x -6)^2 +(y -11)^2 = 130

Compared to the standard form equation, ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r

we can see that the center is (h, k) = (6, 11).

The sum h+k is 6+11 = 17.

__

Additional comment

The center is at the point of intersection of the perpendicular bisectors of chords of the circle.

Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.

We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is

  y -1 = 2(x -1)

For x=6, the point of intersection of the chord bisectors is ...

  y -1 = 2(6 -1) = 10

  y = 11

The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.

This Circle Passes Through The Points $(-1, 2)$, $(3,0)$ And $(9,0)$. The Center Of The Circle Is At

Related Questions

How much food can this container hold? Express your answer in terms of it. 277 in. 3 in. 9 in. 187 in 3 811 in. Ort in. 3 00​


AGHHH HELP

Answers

Answer:

27 pi in^3

Step-by-step explanation:

volume of the cone

= 1/3 x pi x r^2 x h

= 1/3 x pi x(3)^2 x (9)

= 27 pi in^3

5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.

Show ur work 30 points

Answers

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save

Answers

Answer:

$92

Step-by-step explanation:

Describe the outlier boundaries for the data set.


16, 18, 19, 16, 20, 18, 24, 22

Answers

Answer:

Any value less than 16 or greater than 24 is an outlier. :)

Step-by-step explanation:

In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)

Have an amazing day!!

Please rate and mark brainliest!!

Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie

Answers

Answer: the answer  50.22

Step-by-step explanation:

Which of the states in the table below has the least area?
State Population in 2020 Population Density (people/mi?) Indiana 6,785,528 186.32 Mississippi 2,961,279 61.14 Iowa 3,190,369 56.69 Arizona 7,151,502 62.74

Indiana
Mississippi
Iowa
Arizona

Answers

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

How to read the table?

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

Learn more about area in: https://brainly.com/question/11952845

What are souloutions to (x+9)^2=49

Answers

(x+9)=49:2
x+9=24.5
x=24.5-9
x=15.5
I think it right

There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?​

Answers

Answer: 1365

Step-by-step explanation:

4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3



Pls help

Answers

Answer: B

Step-by-step explanation: I hope it helps if not your welcome to get a tutor

The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

What is simplification?

Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.

Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:

Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:

x² - 6x + 3 = 0

Add and subtract the square of half the coefficient of x:

x² - 6x + 9 - 9 + 3 = 0

Factor the first three terms:

(x - 3)² - 6 = 0

Add 6 to both sides:

(x - 3)² = 6

Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

What is the order from least to greatest 1/5 1/10 0.5

Answers

Answer:

1/10

1/5

0.5

Explanation:

1/10 = 0.1

1/5 = 0.2

Answer: 1/10, 1/5, 0.5

0.5 is equal to 1/2, which is greater than each of the other fractions provided.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)

Answers

Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.

What is a proportion?

A proportion is a fraction of a total amount.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:

P = 4.40 x 1.25 = $5.50.

The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:

T = (3 x 5.50) x 0.7 = $11.55.

More can be learned about proportions at https://brainly.com/question/24372153

Which expression is equivalent to 2x- 3(y- 2x

Answers

Answer:

The answer is 8x-3y hope this helps!

7. Wally invests $5,000 in a CD that earns 4% per year. Eqn:​

Answers

Answer:

5000(1.04)^x, x is # of years

Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
$615.00
$3,485.00
$4,305.00
$4,715.00

Answers

what is 5% off 4,100?

once you get that number you should have it..

hi there :>

your answer is $4,715.00

have an amazing day <3

(please tell me if this is incorrect.)

Is the following shape a square?, How do you know?

Answers

Answer:

C. No, because the sides aren't congruent

Step-by-step explanation:

The graph below shows the cost, in
dollars, per notebook at the school store.
Which equation represents the total cost, T, per n notebooks?

Answers

Answer:

t = 2.4n

Step-by-step explanation:

y = mx + c

t = mn + c

c = y-intercept (where the graph line crosses the cost line)

c = 0

mx/mn= gradient ( rise/run, up/across)

mn= 12/5 ( you could have picked any point in the graph )

mn= 2.4

the m is unnecessary now so we discard it

t = 2.4n + 0

T= 2.4n + 0

Did this for a test and that is what I put

find the solution of y=x+3 and y=2x+6

Answers

Answer:

x = 3 and y = 0

Step-by-step explanation:

To find the solution where you have two equations is called a System of Equations.

What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,

y = x+3

y = 2x+6

Now connecting them,

x+3 = 2x+6

Subtract x from both sides

3 = x + 6

Subtract 6 from both sides,

x = -3

Now solve for y,

y = -3 + 3 = 0

So our solution is x = 3 and y = 0.

Answer:

  (x, y) = (-3, 0)

Step-by-step explanation:

Substitution or elimination work well for solving this system of equations.

__

Elimination

Subtract the first equation from the second.

  (y) -(y) = (2x +6) -(x +3)

  0 = x +3

  -3 = x . . . . . . . subtract 3

  y = (-3) +3 = 0 . . . . use the first equation to find y

  (x, y) = (-3, 0)

__

Substitution

Use the second equation to substitute for y in the first.

  2x +6 = x +3

  x = -3 . . . . . . . . . subtract x+6 from both sides

  y = (-3) +3 = 0 . . . . find y using the first equation

  (x, y) = (-3, 0)

__

A graphing calculator answers these quickly.

math help please it is overdue​

Answers

Answer:

X = 20

Y = 10√3 or 17.32 or 17.3

Steps given below in the image,

I hope my answer helps you.

Answer:

x = 20

y = 17.32

Step-by-step explanation:

[tex]10 = x \cos 60 \degree \\ \\ \implies \: 10 = x \times \frac{1}{2} \\ \\ \implies \: 10 \times 2= x \\ \\ \implies \: \huge{ \boxed{x = 20}} \\ \\ y = 10 \tan \: 60 \degree \\ \\ \implies \: y = 10 \times \sqrt{3} \\ \\\implies \: y = 10 \times 1.732 \\ \\\implies \: \huge{ \boxed{ y = 17.32}}[/tex]

ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY

Answers

Answer:

42.63mm²

Step-by-step explanation:

Base times height:

8.7 times 4.9 is 42.63mm².

Length=l=8.7mmWidth=4.9mm=w

So

Area:-

[tex]\\ \rm\rightarrowtail lw[/tex]

[tex]\\ \rm\rightarrowtail (8.7)(4.9)[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{87}{10}\times \dfrac{49}{10}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{4963}{100}[/tex]

[tex]\\ \rm\rightarrowtail 49.63mm^2[/tex]

Enter the correct answer in the box.
If x≠0, what is the sum of 4^3vx^10 + 5x^33v8x in simplest form?

Answers

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.

Please answer with clear instructions so that i can apply this to other questions

Answers

Answers:

lower bound = 39001

upper bound = 40999

========================================================

Explanation:

You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.

It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.

Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.

-------------------

Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:

730,499 - 689,500 = 40,999

This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.

---------------------

On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:

729,500 - 690,499 = 39,001

This is the lower bound. It's the smallest the difference can be. It's considered the floor.

----------------------

Let d be the difference in the populations. In other words, d = y-x

We found that the lower bound was 39,001 and the upper bound was 40,999

Meaning that

[tex]39,001 \le y-x \le 40,999[/tex]

or

[tex]39,001 \le d \le 40,999[/tex]

Describing the Graph of a Polynomial Function 2.) Use the function: f(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function. c) Describe the end behavior of the graph.

Answers

Answer:

The end behavoir is no solution

Step-by-step explanation:

The reason for this is because if you solve the graph the graph will show no end point

This image shows the explanation ⬇️

Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.

He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.

Which of these strategies will accomplish his intended design?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Randomly select one of the first 202020 words and every 20^\text{th}20

th

20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice B)

B

Randomly select one of the first 200200200 words and every 200^\text{th}200

th

200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice C)

C

Randomly select 232323 words from each chapter.


(Choice D)

D

Randomly select 111 word from each page.


(Choice E)

E

Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats

Answers

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

B

Step-by-step explanation:

khan

I need help ty-math-

Answers

Answer:

1,2,2,2,2,2,2,3,3,4,5,5,6

Step-by-step explanation:

Oh, math! One of my absolute favorite subjects. I'd be happy to help.

From least to greatest, here's the list-

1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 10

I hope this answers your question.

-Toremi

Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n

Answers

I believe the answer would be

A,C and maybe D hope this helps

Does anyone know the answer to this?

Answers

Answer:

Excuse me, Where is the question??

-. Find the missing part that will make the equation a perfect square
U2 + 34u +

Answers

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

pls help on math pla​

Answers

Answer:

Slope: -1/2
y-intercept: 7

Step-by-step explanation:

The slope is the interger/number in front of x in a linear equation.

y-intercept is the constant after the slope, 7, which is the value of y when x is 0.

Answer:

equation: y=mx+b

b=y intercept

the y intercept is 7

the slope is -1/2

Solve for x show work
3(2x-5)=4x+33

Answers

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

Thanks for joining brainly community!

In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.

Answers

Y=tx26 The comma and tan sin Is cos x
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