the center of a circe is located at (1,3). The point (0,1) lies on the circle. Find the equation of the circle

Answers

Answer 1

Answer:

[tex](x-1)^{2}+(y-3)^{2} = 5[/tex]

Step-by-step explanation:

Given the general equation of a circle represented as:

[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] where:

(a, b) is the centre of the circle and r is the radius

Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).

Using the formula for calculating thee distance between 2 points, we have:

[tex]r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}[/tex]

x1 = 1, y1 = 3, x2 = 0, y2 = 1

[tex]r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}[/tex]

Substituting this values of the centre and radius of the circle into the general equation of a circle we have:

[tex](x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5[/tex]

This gives the required equation of the circle.


Related Questions

What is the volume of a cylinder with base radius 333 and height 888?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

V≈3.09×108

Step-by-step explanation:

Shape: Cylinder

Solved for volume

Radius: 333

Height: 888

Formula: Radius, Height

Exact answer: V≈3.09×108

Hope this helps.

The volume of the cylinder is = 98,469,432π

Calculation of volume of cylinder

The radius of the cylinder = 333

The height of the cylinder = 888

Therefore the volume is = ?

The formula for the volume of cylinder = πr²h

V = π× 333² × 888

V = π × 110,889× 888

V = 98,469,432π

Therefore, the volume of the cylinder is = 98,469,432π

Learn more about volume here:

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Here are the other 2 !!

Answers

Answer:

number five: 37.065 number six 241

Step-by-step explanation:

FOR NUMBER FIVE:

so for the rectangles, the formula is L * W.   L for length W for width

so 5×3 = 15. and there are 2 rectangles with the same measurment so its

15 + 15 which is 30 (for both rectangles)

and for the circle formula its pi r^2 where pi is 3.14 and r is radius

so 3.14 × 3^2 = 28.26. but since its a quarter of a circle, divide it by four which is 7.065.

so 30 + 7.065 = 37.065

FOR NUMBER SIX:

the area of a triangle formula is b * h ÷ 2 where b is base and h is height

so its 22 * 8 / 2 = 88

and for the trapezoid the formula is [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is height

so its[tex]\frac{12+22}{2} *9[/tex] = 153

88+153= 241

hope this helps!! (it took a looonnnggg time. haha!)

it's 11:33 am and i add 30 minutes what time will it be

Answers

Answer:

Step-by-step explanation:The time would 12:00

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest hundredth of a square centimeter

Answers

Answer:

The area of the sector should be 9.42[tex]cm^2[/tex] .

Step-by-step explanation:

-The formula for finding the area of a sector:

[tex]A = \frac{Arc}{360} \pi r^2[/tex]

-Next use the arc measure and the radius in order to solve and get the answer:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

-Solve:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

[tex]A = \frac{120\textdegree}{360\textdegree}\pi \times3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 9[/tex]

[tex]A = 3\pi \approx 9.424[/tex]

-Round to the nearest hundredth:

[tex]A \approx 9.42[/tex]

PLEASE HELP!!

Find the value of x and identify the type of polynomial.

A. X = 60; regular pentagon
B. x = 60; regular quadrilateral
C. x= 100; pentagon
D. x= 100; quadrilateral
E. X=85; regular quadrilateral​

Answers

Answer:answer is 100; quadrilateral

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

The y intercept is 4  since it crosses the y axis at 4

That eliminates B and D

We know it opens down ward

So -x^2

That eliminates A

We are left with choice C

Write 19\15 as a mixed number

Answers

Answer:

1 4/15

Step-by-step explanation:

Answer:

1 2/6

Step-by-step explanation:

Calculators cannot display repeating decimals. Calculators always round. Yuri's calculator displays decimals to 5 places. He uses his calculator to find the decimal equivalent for each of the fractions below. For each number, choose what his calculator will display as the decimal equivalent. Then choose whether or not this is the exact decimal equivalent.

1/9
Calculator display for 1/9:

Is this the exact decimal equivalent?

7/9
Calculator display for 7/9:

Is this the exact decimal equivalent?

9/10
Calculator display for 9/10:

Is this the exact decimal equivalent?

Answers

1/9 = 0.111111111..., No

7/9 = 0.777777...8, No

9/10 = 0.9, Yes

Dividing by a non-factor of 9 by 9 will always result in an infinite decimal, similar to dividing a non-factor of 3 by 3 or a non-factor of 7 by 7.

However, dividing a number by 10 will simply move the decimal one value to the right, so 9.0 divided by 10 is 0.90.

Ok, so i have 506k and I now have 327k. What is the rate of decrease in percent? I'll mark Brainliest!!!​

Answers

Answer:

= 35.3755% decrease

Attached below in the image. There is a 35% decrease.

The diameter of a circle is 8 units.What is the radius of the circle? 2 points Your answer Submit

Answers

Hey !!

HERE'S YOUR ANSWER:

Diameter(d)=8 units

radius(r)=8/2=4 units.

So the right answer is 4 units.

Look at the attached picture

Hope it will help you.......

You should divide the diameter by 2 to get the radius. Since the diameter is 8 units here, the radius is 8/2 which is 4 units. So the answer is 4 units.

Flora made 4 withdrawals of $80 each from her bank account. What was the overall change
in her account?
The total change in her account is $

Answers

Answer:

$320 if your saying how much in all its basically 8 times 4 add a zero to the end

Step-by-step explanation:

Please just help me in this question.It's very easy.The answer has been put,just show workings.

Answers

The reason a is 54 is because of alternate angles or z angles and
B is 56 because the angles of a triangle equal 180 so you add 70 and 54 together to get 124 and then subtract 124 from 180 which is 56

Becca sells bracelets for $9 each. She has to pay $4.35 for the materials for each bracelet. How much money does she make from each bracelet after she pays herself back for the materials? How much money does becca make from the sale of 15 bracelets?

i am marking brainiest

Answers

Answer:

$4.65$69.75

Step-by-step explanation:

How much money she makes from each bracelet:

9-4.35=$4.65

How much money she makes from the 15 bracelets:

4.65 x 15= $69.75

Answer:

Part 1: 4.65

Part 2: 69.75

Step-by-step explanation:

The first question is "How much money does she make from each bracelet after she pays herself back for the materials?"

To answer that, we must find how much she is selling them for ($9) and subtract the cost of the materials from it ($4.35), which equals 4.65

The second question is How much money does becca make from the sale of 15 bracelets?

In other words, they are only asking for the profit made which means they don't want the materials used cost included. So we can use the answer from before and multiply by 15, so 4.65*15=69.75.

Hope that makes it clear, and good luck with studies :)

What’s the area of this triangle?

Answers

Area = 1/2 x base x height.

Base is 6 units long, height is 7 units long.

Area = 1/2 x 6 x 7 = 21 square units.

The answer is 21
Here’s my work:

Tyrus father is two years more than three times as old as she is if Tyler is nine years old how old is your father

Answers

Answer:

The answer is 29

Answer: 29

Step-by-step explanation: Tyler age 9x3 =27 two years more than 3times which is 29

Please help!

You spin the spinner twice.

What is the probability of landing on a 3 and then landing on a 2?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer: 1/9

Step-by-step explanation:

You have 3 possible options. The probablility of the spinner landing on 3 is 1/3. The probability of it landing on 2 is also 1/3. For them to happen together, you multiply them. 1/3 * 1/3 = 1/9.

The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/9

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

You spin the spinner twice.

Now, The probability of the spinner landing on 3 is,

⇒ 1/3.

And, The probability of it landing on 2 is,

⇒ 1/3.

Hence, The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/3 × 1/3

⇒ 1/9.

Learn more about the probability visit:

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Which of the following are equations
Choose 3 answers
A.60/5=4•3
B.74=2t
C.q-6 D.(r-3)•s=s2
E.9<(3v)(v+1)

Answers

Answer:

A, B, and C

Step-by-step explanation:

an equation has an equal sign (=).

1. 40% as a decimal
2. 17% as a decimal
3. 110% as a decimal
4. 157% as a decimal
5. 3.25% as a decimal
6. 7.5% as a decimal
7. 92% as a decimal

Answers

Answer:

1.0.4

2.0.17

3.1.1

4. 1.57

5.0.0325

6.0.075

7.0.92

Step-by-step explanation:

1. 40%= 40/100=0.4

2. 17%= 17/100=0.17

3.110%=110/100=1.1

4. 157%=157/100=1.57

5.3.25%=3.25/100=0.0325

6.7.5%=7.5/100=0.075

7. 92%=92/100=0.92

Answer:

1.0.4

2.0.17

3.1.1

4. 1.57

5.0.0325

6.0.075

7.0.92

Step-by-step explanation:

1. 40%= 40/100=0.4

2. 17%= 17/100=0.17

3.110%=110/100=1.1

4. 157%=157/100=1.57

5.3.25%=3.25/100=0.0325

6.7.5%=7.5/100=0.075

7. 92%=92/100=0.92

PLEASE HELP!!! I WILL GIVE WHO EVER ANSWER THE QUESTION AND SHOWS STEP BY STEP A BRAINLY AND 5 STARS!!!!!!!!


How many 4's are expected when a 6 sided die is rolled 90 times?

Answers

The 4 should be rolled 15 times, for every 90 rolls.

First you want to create the two into fractions-> 1/6 = x/90
The 1 in 1/6 is the chance of 4 showing in a dice roll. The x in x/90 is the chance how many 4’s there should be in 90 rolls.

You can turn that into 6x = 90 by cross multiplying the two fractions. Then turn that into x = 15.

Find the value of x if Sin80 = Cos( 90 -x)

Please help
Please answer I would really appreciate it
I will choose your answer as the brainliest

Answers

Answer:

80

Step-by-step explanation:

[tex] \sin(80) = \cos(10) \\ 90 - x = 10 \\ x = 80[/tex]

Which of the following equations have no solutions?
Choose all answers that apply:
A 33x-33=33x+25
B 33x+33=33x+25
C 33x+25=33x+25
D 33x-25=33x+25

Answers

Answer:

Brainliest Please

A, B, D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50


If a number cube is rolled, how many times would we expect to get a number greater than 4 out of 240 trials?

40
60
80
100

Answers

89 I think because I took the test
240 divided by 4 is 60

PLEASE HELP!!


What is the area??

Answers

Answer:

63 plus 14= 77 cm

Step-by-step explanation:

Answer:

63 square cm

Step-by-step explanation:

63+14=77. hope this helps

Which expression represents the area of the base of the cone? A cone with diameter 12 inches, height 8 inches, and slant height 10 inches. B = pi r squared (pi) (5 squared) (pi) (6 squared) (pi) (10 squared) (pi) (12 squared)

Answers

Answer: (pi) (6 squared)

Step-by-step explanation:

Hi, the base area of a cone is a circle, so, to answer this question we have to apply the next formula:

Area of a circle: (pi) radius^2

The diameter (d) of a circle is equal to: 2 radius

So:

D = 2r

Replacing with the value given:

12 =2r

12/2=r

radius= 6 inches

Back with the Area formula:

A = (pi) 6^2

Feel free to ask for more if needed or if you did not understand something.  

Answer:

B

Step-by-step explanation:

B is correct

Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. Let n represent the number of magazine subscriptions Andre sells this week.

Answers

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

Write an expression for the amount of money he makes this week.

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.  

Calculate the quotient below and give your answer in scientific notation.
3.8 x 10^9
400
= ?

Answers

Answer:

If your adding the 400 then it will be 3800000400

if your subtracting 400 it will be 3799999600

If your dividing 400 it will be 76000000000

If you multiplying 400 it will be 152000000000

Hope i helped

What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a3 + 6a +9
12a3 - 6a2 + 23a + 18
O 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a^3+2a^2+23a+18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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Answers

Answer:

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Answer:

I hope everyone is safe during this quarantine. It is times like these where we are better together. We (my family and I) are praying for all those who have been affected or knows someone who has beed affected. Hope everyone is safe and healthy. And thanks to you, I am able to say something nice to those who need to hear it!

Step-by-step explanation:

Joan had 227 dollars to spend on 8 books. After buying them she had 11 dollars. How
much did each book cost?

Answers

The correct answer is 27

Solve for g.
9 - g = 2g

Answers

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

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