Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius

Answers

Answer 1

Answer & Step-by-step explanation:

In order to solve this problem, it  is important that we know the original form of this equation.

(x - x1)² + (y - y1)² = r²

The equation we are given is: (x - 1)² + (y + 20)² = 196

Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.

√196 = 14

So, the radius is 14.

Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.


Related Questions

What are the x-intercepts of the graph of the function below?
y= x^2+3x – 28
A. (7,0) and (4,0)
B. (-7,0) and (-4,0)
C. (7,0) and (-4,0)
D. (-7,0) and (4,0)

Answers

The answer to your question is D.
y = x^2 + 3x - 28
y = x^2 + 7x - 4x -28
y = (x^2 + 7x) - (4x - 28)
y = x(x + 7) - 4(x + 7)
y = (x + 7)(x - 4)
y = -7, 4

The answer is D. (-7, 0) and (4, 0)

I know its summer and everyone done with school but someone help ​

Answers

Answer:

1.55

Step-by-step explanation:

3750+900 = 4650

4650/3000 = 1.55

Answer:

1.25

Step-by-step explanation:

What is the length of the blue segment in OL below?

Answers

the answer is A, 7.74

Answer:

c 3.95 that's what I think

Find the midpoint of the line segment with end coordinates of: ( 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.

Answers

Answer:

(2, 2.5)

Step-by-step explanation:

To find the midpoint, the middle point of a line segment

Add the x coordinates together and divide by 2

(1+3)/2 = 4/2 =2

Add the y coordinates together and divide by 2

(7-2)/2 = 5/2 =2.5

___________________________________

The right answer is (2,2.5)

please see theattachedpicture for full solution

Hope it helps

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A kayaker is paddling at a steady rate for 10 miles with the river current. She can only travel 4 miles against the current in the same amount of time. If the rate of the current is 8 miles per hour, what is the kayaker’s rate in still water (without the current)?

Answers

Answer: 18.66 miles per hour.

Step-by-step explanation:

The velocity of the Kayak can be written as the velocity of the kayak in still water plus the rate of the current.

If K is the velocity of the kajak, and C the velocity of the current, we have that:

When the kajak moves along with the current, for a given time T.

(K + C)*T = 10mi

when the kajak move against the current:

(K - C)*T = 4mi

now we can replace C by 8mph, and take the quotient of both equations:

((K + 8mph)*T)/(K - 8mph)*T)) = 10mi/4mi

(K + 8)/(K-8) = 10/4

K + 8 = (K- 8)*10/4

K + 8 = K*10/4 - 20

K*10/4 - K = K*6/4 = 20 + 8 = 28

K = 28*4/6 = 18.66

So the rate of the kajak is 18.66 miles per hour.

What is the measure of DAB ?

Answers

Answer: I think it might be the angle in between D and B

Step-by-step explanation: My Explanation to this is:All triangles add to 180° so...

Add all the angles in the triangle.

Find the amount missing to make an overall of 180 degrees.

85+33=118 degrees

We are currently missing angle which is 62 degrees.

How ever to find the second missing angle you will need this angle (62) specifically.

because it is on a straight line, take 62 away from 180 to get 118 degrees

the answer is 118 degrees hopefully this helped you

Answer:

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angles

∠DAB = ∠ABC + ∠ACB

          = 85 + 33

∠DAB = 118°

A small business takes out a loan for $14,000 at 7% simple interest over the course of 4 years. What is the monthly payment?
a)$291.67
b)$326.67
c)$373.33
d)$408.33

Answers

Answer is d because I used that Calculator

here are the numbers of people in a restaurant on the first 15 days of july.
21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.
Show the data on an ordered stem and leaf diagram.

Answers

Answer:

Below is the stem and leaf diagram

The required stem-and-leaf diagram will be:

Stem        Leaf

1              2  4

2             1   3  3  7

3             0  3  6  8

4             2  4  6  8

What is the stem-and-leaf diagram?

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

For instance, 53 may be written as

Stem        Leaf

5                  3

For the given data :

21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.

The above numbers of people in a restaurant on the first 15 days of July.

The required stem-and-leaf diagram will be:

Stem        Leaf

1              2  4

2             1   3  3  7

3             0  3  6  8

4             2  4  6  8

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The graphs of two exponential functions, fand g, are shown on the coordinate plane below.
y
4-
9
2
-2
2
2
If g(x) = f(x) + k, what is the value of k?
OA. 7
B.
6
C.
-6
D.
-7​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

As you can see, the graph has shifted upwards by 7 units

Thus, the correct option would be A. 7

Have A Nice Day ❤    

Stay Brainly! ヅ    

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。☆✼★ ━━━━━━━━━━━━━━  ☾

PLZ HURRY ILL GIVE BRAINLIEST
Simplify. 6(5p^3 − 6p)
ALSO, HOW WAS YOUR DAY?

Answers

Answer:

p = {0, -1.095445115, 1.095445115}Step-by-step explanation:

Answer:

30p^3-36p. Also, my day was niceeeee.

Step-by-step explanation:

To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.

A bag contains 6 red tiles and 5 yellow tiles. Another bag contains 8 red tiles and 2 yellow tiles. A token is removed from each bag. What is the probability that both tiles are yellow?

Answers

Answer:

The probability is most likely to occur

Step-by-step explanation:

A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.
Calculate the lower bound for the total length of wood used to make this fence.
Write your answer in full calculator display.​

Answers

200cm which has been rounded up to to the nearest cm meaning it could be 199.5cm. Then times it by 32.

199.5 x 32 = 6384cm

The length of a fence is required in centimeters.

The total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].

The number of pieces of wood for making the fence is 32.

The length of each piece of wood is 2 meters.

Converting meters to centimeters

[tex]1\ \text{m}=100\ \text{cm}[/tex]

[tex]2\ \text{m}=2\times100=200\ \text{cm}[/tex]

The entire length will be

[tex]32\times 200=6400\ \text{cm}[/tex]

So, the total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].

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Is 7 a factor of 56w - 7?​

Answers

Answer:

yes it is

Step-by-step explanation:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.

Numbers we can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6

A number can have MANY factors!

Example: What are the factors of 12?

• 3 × 4 = 12, so 3 and 4 are factors of 12

• 2 × 6 = 12, so 2 and 6 are also factors of 12

• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well

So 1, 2, 3, 4, 6 and 12 are all factors of 12

And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.

In Algebra, factors can be expressions like "x+3" etc

please mark brainliest :)

Answer:

56w-7 56/7= 8 -7/7=-1

Step-by-step explanation:

8w-1 answer here

Circular lawn has a row of bricks around the edge the radius of the lawn is about 20 feet which is the best estimate for the area of the grass in the long use 3.14 for pie select one 125 ft 125 square ft 1250 ft 1256 square feet

Answers

Answer:

Area of the grass in the circular lawn is 1256 square feet

Step-by-step explanation:

Lawn is in the shape of circle having radius = 20 feet

Area of the circular lawn will be represented by the formula,

Area = πr² [ Here 'r' = Radius of the circular lawn]

        = (3.14)(20)²

        = 3.14 × 400

        = 1256 square feet

Therefore, area of the grass in the circular lawn will be 1256 square feet.

A tree outside Ellie’s house cast of 125 foot shadow. At the same time of day, Ellie cast a 5.5 foot shadow. If Ellie is 4‘10“ tall, how tall is the tree in feet?

Answers

Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

- The tree and its shadow formed a right angle triangle with legs

 x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

similar triangles

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

babyface17

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

Answer:

109.85 ft

Step-by-step explanation:

5.5'/ 4'10"=125 ft/x

5.5*12/(4*12+10)=125/x

66/58=125/x

x=125*58/66

x=109.85 ft

Can someone pleaaase help its timed

Answers

Answer:

C. 48 cubic units

If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.

Step-by-step explanation:

To find the volume of a rectangular prism you have multiply the base by the height by the width.

So the volume is b*h*w = 8*2*3 = 48

C. 48 cubic units

Since 1 cube takes 1 unit that means it takes 48 cubes to fill up the whole thing.

If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.

1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?

Enter your answer as a decimal, for example: 4.6

Answers

Answer:

1.2

Step-by-step explanation:

Diana works in a factory. She receives a salary of $8 per hour and piecework pay of 12
cents per unit produced. Last week she worked 38 hours and produced 755 units.
a. What was her piecework pay?
b. What was her total hourly pay for the week?
c. What was her total pay for the week?
d. What would her total weekly salary have been if she produced 0 units?

Answers

Answer:

A) $90.60

B)$304

C)$394.60

D)$304

Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.

B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.

C) Add the answers to both A and C and you get $394.6

D) Refer back to B

Find the slope of the line that passes through the points A(-6, 2) and B(5, -1).

Answers

Answer:

-3/11

Step-by-step explanation:

The slope of the line is given by

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

   = (-1-2)/(5--6)

   = -3/(5+6)

   = -3/11

Answer:

[tex]\frac{-3}{11}[/tex]

Step-by-step explanation:

You use the formula to solve:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m =\frac{-1-2}{5+6}\\m = \frac{-3}{11}[/tex]

Plz help asap. Ahdhduebdhf

Answers

Answer:

x = 125

Step-by-step explanation:

all of the angles in a triangle must add up to 180, so 25 + 30 + x = 180. you can subtract 25 and 30 from both sides and you are left with x = 125.

hope it helps!

________________________________

Hey!!!

Solution,

X+30+25=180(Sum of angle in traingle)

or,X+55=180

or,X=180-55

X=125

The value of X is 125.

Hope it helps

Good luck on your assignment

Stay safe

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Triangle G F H is rotated to form triangle G prime F prime H prime. Which type of transformation maps triangle GFH onto triangle G'F'H'? translation reflection rotation dilation

Answers

Answer:

Rotation

Step-by-step explanation:

The type of transformation maps triangle GFH onto triangle G'F'H' will be; Rotation.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs.

We are given that Triangle GFH is rotated to form triangle G prime F prime H prime.

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]

Horizontal stretch by a factor k: [tex]y = f\left(\dfrac{x}{k}\right)[/tex]

The rotation transformation maps triangle GFH onto triangle G'F'H'

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Johnstone Rent-A-Car John has a fixed rate of $49 weekly pay is $14 per week for the optional insurance and he spends $12 weekly on gas but will is cost me per month

Answers

Answer:

49+14+12= 75

Step-by-step explanation:

My crotch itches. Which hurts when I itch it.

Please help with number three and number seven

Answers

Answer:

Number three and seven are both A

Step-by-step explanation:

Answer:

3) c 7) d

Step-by-step explanation:

3) the little circle over top the -4 indicates it doesn't actually equal -4 but everything above it

7) when dividing all of the prices of the products by the weight the lowest number you get is $1.28 per pound of alfalfa.

If a point Cis inside ZAVB, then mŁAVC+
= MZAVB.
m ZAVB = 62°
A. MZCVB
B. MBVA
C. MZAVB
o
D. MZAVC
SUBMI
- PREVIOUS

Answers

Answer: A

Step-by-step explanation:

The missing angle is <CVB.

What is an Angle?

An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".

We have m < AVC = 39

and, m <VCB = 23

Thus, by adding the above angle we get the whole angle AVB.

Sp. m< AVB = m <AVC + <VCB

m <AVB = 23 + 39

m <AVB = 62

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Evaluate (-A) 2 for A = 5, B = -4, and C= 2.
0-25
-10
10
25

Answers

Answer:

-10

Step-by-step explanation:

Substitute 5 into the equation

(-5)2

Simplify and get -10

Can someone help me with 5?

Answers

Answer:

C

Step-by-step explanation:

"at least" is denoted by ≥. The amount of figures Carlos and Josh have can be represented by 5x + 4 and 3x + 14 respectively where x is the amount of figures in a set. We can write:

5x + 4 ≥ 3x + 14

2x ≥ 10

x ≥ 5

the answer is c

d
eddjiejjeihrhe


The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is

(x - 4)² + y² = 2√3
(x - 4)² + y² = 12
(x + 4)² + y² = 12

Answers

Answer:

B. (x - 4)² + y² = 12

Step-by-step explanation:

Rewrite in standard form to find the center (h,k) and radius r.

Answer:

B?

Step-by-step explanation:

If the height is changed to 3, does this have the same effect on the volume as changing the radius to 1?


If the height is now 3, then the new volume is π units3.


If the radius is now 1, then the new volume is π units3.


Therefore, changing the height to half of its original value and changing the radius to half of its original value does the volume. Halving the height of the cone the volume, while halving the radius of the cone results in the volume.

Answers

Answer:

4, 2, not have the same effect on, halves, 1/4

Step-by-step explanation:

pleeeeeez mark brainliest

Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

How to find the volume of a cone?

We are given a right cone with;

radius = 2

height 6

volume is; V = ¹/₃π(2)²6 = 8π units³

If the height is now 3, then the new volume is;

¹/₃π(2)²3 = 4π units.

If the radius is now 1, then the new volume is;

¹/₃π(1)²6 = 2 units.

Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

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If using the method of completing the square to solve the quadratic equation
x2 + 8x – 4 = 0, which number would have to be added to "complete the square"?

Answers

Add 20 to complete the square

Which matrix represents the system of equations shown below?
8x-3y = 9
2x + 5y = -7

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

hope it works out !!

Answer:

its A

Step-by-step explanation:

i just did it

Other Questions
Need help will give brainliest After the bank cashed a check Maureen wrote for $60, her balance was Negative 14 dollars. The equation b + (negative 60) = negative 14 can be used to represent this situation, where b is Maureens balance, in dollars, before the check was cashed. Maureen attempted to solve the equation using the steps below. b + (negative 60) = negative 14. Subtract 60 from both sides. B = negative 74. What error, if any, did Maureen make? Maureens work is correct, and her original balance was -$74. Maureen should have added 60 to both sides. Maureen should have added 14 to both sides. Maureen made a computational error when she subtracted 14 minus 60. BEST ANSWER GETS BRAINLIEST! What expression represents the area of the triangle? A triangle has a base of 24 and a height of 10. Another side has a length of 26. One-half times 10 times 24 One-half times 10 times 26 One-half times 24 times 26 One-half times 10 times 24 times 26 Which one of these lifestyle factors has led to the buildup of litter in ourenvironment?O A. Lack of natural areasO B. Waste generationO C. Environmental protectionD. Lack of garbage cans To examine something in order to understand it You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12 subjects with the following results. Construct a 95% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data AND determine the margin of error EBM.DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5 PLEASE HELP FAST WILL GIVE BRAINLIEST AND 20 POINTS!! solve this system of equations:4x-3y=14 y=6x read the following from the great gatsby PLEASE ANSWER IN AT LEAST 2 SENTENCES OR MORE! THANK YOU! Roman culture was heavily influenced by Greek culture. Think of what you learned in this lesson. Explain Greek influence on one aspect of Roman culture from the list below. 1) architecture 2) literature 3) mythology The perimeter of a rectangular painting is 282 centimeters. If the width of the painting is 53 centimeters, what is its length? In an ABABACA form the A section would most likely be heard:O A 1 timeO & 2 timesOC 4 timesOD 3 times Which sentence is punctuated correctly?A.Although I respect John Henry, I think he set an impossible task for himself.B.John Henry, who predicted his own death seemed comfortable with his fate.C.John Henry was quite strong, the machine was even stronger.D.The story of John Henry has been told in prose poetry, and song. 3. The path of an underground stream is given by the function y = 4x +17x -32. Twonew houses need wells to be dug. On the area plan, these houses lie on a line defined bythe equation y = 15x+10. Determine the coordinates where the two wells need to bedug. Which first step for solving the given system using substitution results in an equation without fractions?-9x4y - 10-9x+3y3 he ABC company is considering the purchase of a new machine that will last 5 years and cost $100,000; maintenance will cost $12,000 per year. If the interest rate is 10% per year, compounded quarterly, a. how much money should the company set aside for this machine b. what is the future value, at the end of year 5, of the given cash flows Item 17In which region of the African continent is the Great Rift Valley located?Southern AfricaWest AfricaNorth AfricaEast AfricaMap of Africa with labels SAHARA, SAHEL, ATLAS MOUNTAINS, ATLANTIC OCEAN, MEDITERRANEAN SEA, RED SEA, INDIAN OCEAN, Timbuktu, Congo Basin, Kalahari Desert, Great Rift Valley, Nile River, Niger River, Congo River, Lake Victoria, Mozambique Channel, Mount Kilimanjaro nineteen thousand three hundred forty feet, Cape of Good Hope, Tropic of Cancer, Equator, and Tropic of Capricorn. . When a drug is ingested, how does it get into the bloodstream?A. Through the intestinesB. Through the stomachC. Through the mouthD. All of the above On January 1, 2020, Headland Company issued 10-year, $1,840,000 face value, 6% bonds, at par. Each $1,000 bond is convertible into 16 shares of Headland common stock. Headland net income in 2020 was $473,800, and its tax rate was 20%. The company has 103,000 shares of common stock outstanding throughout 2020. None of the bonds were converted in 2020. a. Compute diluted earnings per share for 2014. b. Compute diluted earnings per share for 2014, assuming the same facts as above, except that $1,000,000 of 6% convertible preferred stock was issued instead of the bonds. Each $100 preferred share is convertible into 5 shares of Crocker common stock. eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee question in picture German scientists were concerned about Nazi restrictions on uranium sales becauseuranium would not be available for industrial research.Ouranium was important to German missile programs.uranium paid for German scientific research.Ouranium could be used in research on atomic weapons.