Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the circle.

On a coordinate plane, a circle has center point (1, 2). A point on the circle is at (negative 5, 6).

Answers

Answer 1

9514 1404 393

Answer:

  2√13

Step-by-step explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

  d = 2√13

The radius of the circle is 2√13.


Related Questions

Two lines, A and B, are represented by equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−3, −5), because the point does not lie on any axis
(−3, −5), because the point satisfies both equations
(−4, −8), because the point satisfies one of the equations
(−4, −8), because the point lies between the two axes

Answers

9514 1404 393

Answer:

  (b)  (−3, −5), because the point satisfies both equations

Step-by-step explanation:

Any solution to a system of two equations must satisfy both equations. The only reasonable explanation of "why" is the one associated with the answer shown above.

What is the order of rotational symmetry for the figure?
A. 4 or more
B. 2
C. 1
D. 3

Answers

The answer is 2, it is not 4, it would be 2 because which ever side you start of on if you rotate it again 2 times you will go back to where you were at first. Therefore the rotational symmetry is 2

a number t is less than 7

Answers

Answer:

6 or 5 or 4...........

Step-by-step explanation:

Answer:

x=N :x<7

Step-by-step explanation:

123456

hope it's helpful

After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?

Answers

Given the data provided, it follows that the farmers must wait for 26 days before feeding the hay to cows.

What is half life?

The term half life is defined as the time taken for half of the original amount of the radioactive sample to remain.

Now we know that;

half life = 8 days

Original amount = No

Amount left after t days = 0.1No

time taken = t days

Hence;

0.693/8 = 2.303/t log (No/0.1No)

0.087 = 2.303/t

t = 2.303/0.087

t = 26 days

Learn more about radioactivity: https://brainly.com/question/14356798

a cubical water tank is 80 CM broad how many CC of water does it hold​

Answers

Answer:

I think: vol of h20 inside = side³ = (80cm)³ =512000 cm³

Please refer!

Step-by-step explanation:

I'm not sure but hope it helps.

Đại biểu ĐBTQ lần thứ VIII (1996) của Đảng, xác định “phát huy nguồn lực con người là yếu tố cơ bản cho sự phát triển nhanh và bền vững trong quá trình CNH,HĐH đất nước”, anh/chị hãy phân tích quan điểm này và liên hệ thực tiễn Việt Nam hiện nay?

Answers

Yo no si la verdad que no

the sum of (a-b)^2 and (a+b)^2​

Answers

Answer:

sum is 2(a² + b²)

Step-by-step explanation:

[tex] {(a - b)}^{2} + {(a + b)}^{2} \\ = ( {a}^{2} - 2ab + {b}^{2} ) + ( {a}^{2} + 2ab + {b}^{2} ) \\ = 2 {a}^{2} + 2 {b}^{2} \\ = 2( {a}^{2} + {b}^{2} )[/tex]

(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)

Answers

Answer:

15/4

Step-by-step explanation:

sin60 =z/15

z=15sin60 =(15√3)/2

cos30 =b/z

b = zcos30 = (15√3)/2 * √3/2 = 45/4

a = 15-b = 15-45/4 = 15/4

The value of a is 15/4

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

According to the given figure,

Here is a right triangle

Let, The hypotenuse = 15

perpendicular = z and base = 15 = a + b

⇒ sin60 = perpendicular/hypotenuse = z/15

⇒ z = 15sin60 = (15√3)/2

⇒ cos30 = base/hypotenuse = b/z

⇒ b = zcos30 = (15√3)/2 * √3/2 = 45/4

⇒ a + b = 15

Substitute the value of b in the above equation,

⇒ a = 15-b = 15-45/4 = 15/4

Hence, the value of a is 15/4.

Learn more about the right triangle here:

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Use the graph of ƒ to find ƒ(2).
0.5
–8
–0.5
Does not exist

Answers

Answer:

Step-by-step explanation:

When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?

Answer:

does not exist

Step-by-step explanation:

that what i put hope it helps

Solve 5x + 3 = -7x + 21

Answers

Answer:

x = 3/2

Step-by-step explanation:

5x + 3 = -7x + 21

5x - -7x = 21 - 3

12x = 18

x = 18/12

x = 3/2

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours. A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider. After completing a study, the sociologist found that the average daily amount of time an adult spends on the internet is 5.9 hours, on average. As the sociologist sets up a hypothesis test to determine if their belief is correct, what is their claim?

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.
b. The average daily amount of time an adult spends on the internet is different than 5.9 hours.
c. Adults spend a majority of their time on the internet.
d. The average daily amount of time an adult spends on the internet is 4.5 hours.

Answers

Answer:

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.

Step-by-step explanation:

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.

At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:

[tex]H_0: \mu = 4.5[/tex]

A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.

At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:

[tex]H_1: \mu \neq 4.5[/tex]

Thus, the correct answer is given by option a.

What is the probability of rolling a 2 and 3 with 2 die

Answers

1/6 * 1/6 = 1:36
the probability of rolling a 2 is 1/6 and the probability of rolling a 3 is 1:6 to find the final probability you need to multiply the two

For what values are 2x^2=10x

Answers

[tex]\\ \sf\longmapsto 2x^2=10x[/tex]

Take to to right

[tex]\\ \sf\longmapsto x^2=\dfrac{10x}{2}[/tex]

[tex]\\ \sf\longmapsto x^2=5x[/tex]

Cancel a x from both sides

[tex]\\ \sf\longmapsto x=5[/tex]

a shopkeeper gains #1.75 by selling an article for #6.25. what is the percentage gain.​

Answers

Answer:

≈ 38.89%

Step-by-step explanation:

The cost is:

6.25 - 1.75 = 4.50

Percentage gain:

1.75/4.50*100% ≈ 38.89%

Help! Please? Dont understand

Answers

The answer for this is B

Please help me with this someone

Answers

9514 1404 393

Answer:

   79 23/24 yards

Step-by-step explanation:

  10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)

  = 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards

_____

Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.

47/24 = 1 23/24

Geometry
B.5 Additive property of length 7RA
If TU = 4x, UV = 2x + 14, and TV = 7x – 5, what is UV?
T
4x
U
2x + 14
7x - 5
Simplify your answer and write it as a proper fraction, mixed number, or integer
Submit

Answers

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = [tex]\boxed{52}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A plumber can do a job in 4 hours. When he and his 2 helpers do the job, they can finish it in 2 hours. If both helpers work at the same rate, how many hours would each helper take to do the job alone?

Answers

=4
cross multiply
4x2/2

Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY

Answers

Answer:

the answers for x and y are both 12

Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number

Let x = the number.


16 subtracted from a number can be written as…

Answers

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly​

Answers

Answer:

9.725%

Step-by-step explanation:

(1.0475)^2 =1.09725

one year 2 periods 4.75% per period

Solve for
x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

[tex]\displaystyle x \approx 30.8[/tex]

Step-by-step explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]

Use a calculator. Hence:

[tex]\displaystyle x \approx 30.8[/tex]

30 is the answer get me

The total number of branches in a tree diagram will be which of the following values?

the probability of an event occurring
the denominator of a probability
the numerator of a probability

Answers

Answer:

The total number of branches = total possibilities = the denominator of a probability.

So the second choice is correct.

Let me know if this helps!

Answer:

Step-by-step explanation: answer B (the denominator of a probability)

Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.

Answers

Answer:1.5

Step-by-step explanation:

What is the volume of the prism below?

19.80 cubic units

553.02 cubic units

84.17 cubic units

42.09 cubic units

Answers

The volume of prism is,

⇒ V = 42.09 cubic units

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Base = 5.12

height = 4.11

Lenght = 4

Now, We can formulate;

The value of volume of prism is,

⇒ V = 1/2 (b x h) l

⇒ V = 1/2 (5.12 x 4.11) 4

⇒ V = 42.09 cubic units

Thus, The volume of prism is,

⇒ V = 42.09 cubic units

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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de la
QUESTION 8
The hospital has allotted 120 days of inservice for every 15 departments. How many days of inservice can each department use?
I

Answers

Answer:

in 8 days

Step-by-step explanation:

soln

given,

total days=120

department=15

we know,

120/15

=8

•°•8days are given to each department.

if a/b = 3 and a + b = 2, what is a - b​

Answers

Answer:

1

Step-by-step explanation:

a/b=3------equation 1

a+b=2-----equation 2

from equation 2

b=2-a

substitute b=2-a in equation 1

a/2-a=3

a=3(2-a)

a=6-3a

a+3a=6

a=6/4

a=3/2

substitute a=3/2 in equation 2

3/2+b=2

3+2b=4

2b=1

b=1/2

a-b=3/2-1/2

a-b=(3-1)/2

a-b=2/2

a-b=1

In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.

Answers

Answer:

plato screenshot!

Step-by-step explanation:

I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato

Answer:

A B Slope of  C Slope of Line Through C

(−5,4) (−1,−1) −1.25 (1,2) 0.8

(−5,4) (−3, 5) 0.5 (−2, 1) −2

(−4, 1) (−3, 5) 4 (−2, −2) −0.25

(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33

(−5, −2) (1, −1) 0.17 (−3, 1) −6

Step-by-step explanation:

that way you can copy and paste each one but Plato

a new automobile cause 11300 which is 100 more than 25 times a certain number what is the number​

Answers

Answer:

25x + 100 = 11300

25x = 11200

448 = x

Step-by-step explanation:

the certain number is 448

To collect opinions on the last teacher contract settlement, you interview each one of your teachers. This is an example of

A. random sampling
B. a census
C. interview sampling
D. convenience sampling

Answers

Answer:

may be interview sampling

Step-by-step explanation:

because here is eord interview

Other Questions
Select the question that best complete this conversation:Elena: ____________Jaime: Bien, y t? Did any one know this? What's the slope (-3,6),(-3,4) What is the smallest 3-digit palindrome that is divisible by both 3 and 4? Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?1/251/201/101/5WARNING! PEOPLE HAVE BEEN PUTTING THE FOLLOWING WRONG ANSWERS:1/10 AND 1/5 --> THESE TWO ARE WRONG.I THINK IT IS 1/20. CAN SOMEONE CONFIRM? what number is divisable by 5 What is 3.7 as a mixed number The ocean is full of all kinds of amazing creatures. Some of the most mysterious ocean critters, however, are hardly ever seen. They live in the very deepest parts of the ocean. Sunlight does not reach that far down, and the water is extremely cold. Many of the creatures there do not use eyes to see where they are going. Instead, they rely on touch or sound. Some kinds of fish down there can create light to help them see. Others use the dark to sneak up on their prey.Which would make the best concluding sentence for this paragraph?A. It is a different world down there, in the deep, dark, bottom of the ocean.B. Sometimes an animal use its light to confuse and more easily catch its prey.C. The ocean is one of the best places to visit because of the different animals.D. The water is very cold down there because sunlight does not reach the water. Help ASAP Ill mark you as brainlister solve and reduce to lowest term 7/13+3/13 A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milkeach day. They give 24 litres milk in six days. How many cows are there in the herd? I need help pls answer 30 points i need correct. answer. Fi its wrong i will report.Draw a diagran to explain filtration. Label the residue and filtrated Express 2ab in factor form heSellsSeaShells is an ocean boutique offering shells and handmade shell crafts on Sanibel Island in Florida. Find the price SheSellsSeaShells should charge to maximize revenue if p(x)=1602xp(x)=1602x, where p(x)p(x) is the price in dollars at which xx shells will be sold per day. Which of the choices below is the best implied thesis statement for the prompt? BIG POINTS KINDA....BUT SOMEONE PLEASE HELP!!! the age of furaha is 1/2 of the age of her aunt if the sum of their ages is 54 years. find the age of her aunt write a letter to a letter to your Aunt telling her four things you will need to improve your Academics Given the function f(x) = -5x + 2, find the range ofly for x = -1, 0, 1.O 7, 2, -3O 7, 2, 3O-7, -2, 30-7, -2, -3 3. Write y = x2 - 4x + 6 in vertex form.A. y = (x - 2)2 + 2B. y = (x + 2)2 - 2C. y = (x + 2)2 - 4D. y = (x - 2)2 + 4