The circle below is centered at the point (1, 2) and has a radius of length 3.
What is its equation?

The Circle Below Is Centered At The Point (1, 2) And Has A Radius Of Length 3.What Is Its Equation?

Answers

Answer 1

Answer:

[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]

Step-by-step explanation:

The general circle equation is

[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where r is the radius.

Since we know all the information just plug it in the equation above.

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

Simplify 3 squared.

[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]


Related Questions

A store buys a jackets for $20.00 and sells it for 80% more than that what is the selling price of the jacket

Answers

Answer:

$36

Step-by-step explanation:

in the beginning $20 is %100 so divide 20 by 100                                              .you'll get .2 but to make this simple you'll want %10 so multiply .2 times 10 and you get 2                                                                                                         .now that 2 is %10 and you want %80 you multiply 2 8 times (or add it 8 times) because %10 times 8 = %80 so 2 times 8 = 16                                             .now that you have the %80 you want to add it to the %100 because they sold it for %80 then the price they bought if for (you get %180)                                                     . then you add the $20 to the $16 because that is what each percent equals (you get $36)

Answer:

$36

Step-by-step explanation:

What we know: The jacket is marked up by 80% of the jacket. The store is now selling the jacket for 180% of what they bought it for.

Set up problem:    x        180%

                            ___ = ____

                           $20     100%

What do the numbers mean when set up like this(referring to problem set up): We know that $20 is the original price of the jacket. So $20 is 100% of the jacket(if that makes sense). Markup is 80% because "sells it for 80% more" . So it goes on top.

Solving the Problem#1:  180 x 20 = 3600

Solving the Problem#2: 3600/1000= $36

Checking My Math: What is 80% of $20. Let's divide $20 into 4 parts.  

$4 + $4 + $4 + $4 + $4 =20

$4 is 20% of 20

$8 is 40% of 20

$12 is 60% of 20

$16 is 80% of 20

$20 is 100% of 20

Final Answer: $36 is the selling price of the jacket

Note: I used a scientific calculator for some calculations.

Is 0.35 greater than 4/9

Answers

Answer:

No

Step-by-step explanation:

It is not because 0.35 is less then 4/9 or 0.44444.

No it is not. Have a good day. (:

4. The quotient of a number and 3 is at least 5.

Answers

Answer:

15 20 25  any of those!

Step-by-step explanation:

mark brainliest pls

Select the correct comparison.
Set A
Set B
...
...
2 4 8 10
0 2 4 6 8
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set A. The spread is greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
D. The typical value and the spread are both greater in set A.

Answers

Answer:

it is B.

Step-by-step explanation:

The city council voted on a new tax. The council has 20
total members and 20% of them voted in favor of the
new tax. How many members voted in favor of the tax?

Answers

Answer:

4

Step-by-step explanation:

You have to multiply the total members by the percentage.

20X[tex]\frac{20}{100}[/tex] =4

Plz I need help Plz I need help Plz I need help Plz I need help Plz I need help!!!!!!!!!!!!!!!!!!!!!!

Answers

The first one has no solution so it’s (x,y)

(-8 times (-2/3)


Easy 7th grade work pls answer in fraction form

Answers

Answer:

[tex]-8 \times \frac{-2}{3}\\\\= \frac{-8 \times -2}{3} \\\\= \frac{16}{3}[/tex]

Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch ​

Answers

Answer:

The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.

Step-by-step explanation:

The equation of a ellipse centered in the origin in standard form is defined by following formula:

[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)

Where [tex]a, b[/tex] are the coefficients of the ellipse.

Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:

[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]

[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]

[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]

Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:

[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)

[tex]c = 12[/tex]

The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:

[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]

The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.

Answers

Answer:

What is acceleration?

Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”

Step-by-step explanation:

In what ways do peer-to-peer lending and traditional lending differ?

Answers

here’s the answer get the app socratic

Please guys I really need you're help

Answers

Dudeeee it’s H if not I’m very sorry

If a worker is making $8 an hour how much would they make in 6 hours?

Answers

Answer:

$48

Step-by-step explanation:

8•6= 48

.....uchild

They are making 48 dollars an hour.

We know this because using simple multiplication we can calculate 8 x 6, or 8 groups of 6/6 groups of 8. This would equate to 48.

find the length of line segment connecting (2,1) and (3,3)

Answers

Answer:

square root of 5

Step-by-step explanation:

Use distance formula:

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

Plsss help me with this math question!!!

Answers

Answer:

Option c.

Step-by-step explanation:

Volume = length * breadth *height

According to the question,

(3/2 * 1/2 * 2)ft^3

= 3/2ft^3

Hope this helped :)

Answer is below. Hope it helps you

what quantity should be added to both sides of this equation to complete the square x^2+12x=-15

Answers

Answer:

36

Step-by-step explanation:

60 centimeters + 4 meters
What is the answer in centimeters

Answers

Answer:

its 460centimeters hope i helped

the answer is 460 centimeters because 1 meter is = to 100 centimeters

How many solutions does the inequality x > 12 have? Explain.

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Suppose there are finite solutions to x > 12

Then there exists a largest solution, which we call X

But X + 1 > X, and X > 12, so by transitivity X + 1 > 12 and thus is an even larger solution

this means X is not the largest solution

Therefore, by contradiction, the assumption that there are only finite solutions is false

Circuit City is having a sale on computers. Max picks out a computer that was originally $1199.99 If the computer is 41% off, What is the final price of the computer? Round to the nearest penny.

Answers

Answer:

$707.9941 rounded is $707.99

Step-by-step explanation:

41%=0.41

1199.99*0.41=491.9959

$1199.99-$491.9959=$707.9941

$707.9941 rounded is $707.99

the four doesn't round up so it would just be $707.99.

Hope this helped!

Hey can someone help pls

Answers

Answer:

Step-by-step explanation:

x2 - 2x - 35

First we have to find the factors of 35 that by subtracting equal to 2 so

x2 - 7x + 5x - 35

Taking common

x(x - 7) + 5(x - 7)

(x - 7) and (x + 5) are the factors

Please answer quickly

Answers

add the exponents together
so 9^12

Answer:

B

Step-by-step explanation:

1. Combine exponents

9^4 * 9^8 = 9^12

Pls help with this question. It is due today!

Answers

Answer: B

Step-by-step explanation:

Pls help asap will mark brainliest firtst answer!!

Answers

Answer:

The answer is C

Step-by-step explanation:

9 of the 20 drawn were red

9/20* 100 = 45

what is the value of x

Answers

Answer:

A. 10

Step-by-step explanation:

Formula for the Pythagorean Theorem: a^2+b^2=c^2

Substitute: 6^2+8^2=c^2

6*6+8*8=c^2

36+64=c^2

100=c^2

Then, find we to the square root in order to isolate c^2.

10=c.

Final answer, A. 10.

AT&T would like to test the hypothesis that the average revenue per retail user for Verizon Wireless customers is greater than $50. A random sample of 32 Verizon Wireless customers provided an average revenue of $54.70. It is believed that the population standard deviation for the revenue per retail user is $11.00. Using LaTeX: \alpha=0.05α = 0.05 , answer the following questions: a. Identify the null and alternative hypotheses to conduct an appropriate hypothesis test of mean. (3 points) b. Use the critical value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) c. Use the p-value approach to test this hypothesis. (3 points) State your decision and conclusions explicitly. (3 points) d. Assume that the actual population mean for revenue per retail user is $44.30. Calculate the probability of type II error. (5 points)

Answers

Answer:

H0; u = 50 average revenue equals 50

H1: u not equal to 50, average revenue not equal to 50

This is 2 tailed

Alpha = 0.05

Z critical = 1.6449

We find the test statistics

Mean = 54.7

Sd = 11

n = 32

barX - u/sd/√n

= 54.70-50/11/√32

= 4.70/1.9435

= 2.418

Decision rule: reject H0 if test statistic > critical value. Accept if otherwise

2.418>1.6449

We reject H0

We conclude that average revenue is not equal to zero

C. P(z>=2.418) = 0.9922

1 - 0.9922

= 0.0078 (I used Ms excel here)

0.0078 < 0.05

So we Reject h0

What is the simplest form of 3/5 + 1/3

Answers

Answer:

8/15 +5/15 = 12/15 = 4/5

Step-by-step explanation:

If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?

Answers

Answer:

$12

$8

Step-by-step explanation:

Amount Jatin received = (ratio of Jatin's share / sum of ratios) x amount shared

sum of ratios = 3 + 2 = 5

(3/5) x 20 = $12

Amount Arnav received = (ratio of Arnav's share / sum of ratios) x amount shared

(2/5) x 20 = $8

or

$20 - $12 = $8

Does the Y-axis or X-axis come first?

Answers

Answer:

X

Step-by-step explanation:

The X-axis is the one on the bottom if you are in the first quadrant. The y-axis is on the left or up and down. If you are writing location(I can't remember the name but it looks like this (2,3)) you would write the X-axis down first. Hope this helped!  

Suppose the probability of a false positive result on a mammogram is 4%. Suppose that the probability of a false negative result on a mammogram is 2%. Assume that the probability that a randomly chosen woman has breast cancer is 0.0002. If a woman has a positive test result, what is the probability that she actually has breast cancer

Answers

Answer:

0.0049 = 0.49% probability that she actually has breast cancer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test result

Event B: Breast cancer

Probability of a positive test result:

4% of (1 - 0.0002)

98% of 0.0002

So

[tex]P(A) = 0.04*(1 - 0.0002) + 0.98*0.0002 = 0.040188[/tex]

Having breast cancer and testing positive.

98% of 0.0002

So

[tex]P(A \cap B) = 0.98*0.0002 = 0.000196[/tex]

What is the probability that she actually has breast cancer?

[tex]P(B|A) = \frac{0.000196}{0.040188} = 0.0049[/tex]

0.0049 = 0.49% probability that she actually has breast cancer

Please no links just the letter answer and explanation please

Answers

Answer:

-6.5 degrees/km  

Step-by-step explanation:

I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2

A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19% of all survey respondents?

A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I​

Answers

Answer:

C.

Step-by-step explanation:

The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.

To find the answer, we can go through each choice.

A. Females taking Geometry

Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.

B. Females taking Algebra II.

Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.

C. Males taking Geometry.

Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.

D. Males taking Algebra I.

44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.

Answer:

C

Step-by-step explanation:

59/310 *100 = 19.03%

so 19%

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