Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.

Answers

Answer 1

9514 1404 393

Answer:

(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation


Related Questions

Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent

Answers

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

Hector has 10 cups of flour which equation shows how to determine the number of 2/5 of a cup servings there are in the 10 cups of flour?

Answers

Answer:

10 divided by two-fifths = 25.

Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2841 , 0.4472 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval

Answers

Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

Step-by-step explanation:

Interpretation for 95% confidence interval:

A person can be 95% confident that the true population parameter lies in it.

here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.

Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108

Answers

Answer:

36

Step-by-step explanation:

largest share = 9parts = 108

1 part = 108÷9 = 12

smallest share = 3parts = 12×3 = 36

Name a pair of complementary angles in the diagram above.
21 and 22
Z2 and 23
24 and 25
0 27 and 29

Answers

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

Find the value of x. Leave your answer in simplest radical form.

Answers

I can’t type the root

An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150

Answers

Answer: C is the correct option.

Step-by-step explanation:

Confidence interval for population mean:

[tex]\overline{x}\pm E[/tex]

, where [tex]\overline{x}[/tex] = Sample mean

E = Margin of error

Given confidence interval : 150 ± 3.29

Here , [tex]\overline{x}=150, E=3.29[/tex]

Since the sample mean is the best estimate for the population mean.

Thus, the correct notation is [tex]\overline{x}=150[/tex]

i.e. C is the correct option.

HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION​

Answers

Answer:

2,4,6,8,10,12,14,16,18,20

Answer:

How do you make the number 7 an even number without addition, subtraction or multiplication?

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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)

Answered 4 years ago

You can remove alphabet S from SEVEN.

You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.

Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.

Introducing a new number system and interchange position of 7 with an even number.

If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.

These are some genuine ways rather than dividing.

ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .

Can someone please explain to me a easier way of understanding this please

Answers

Step-by-step explanation:

u have solve it by finding slope(m)

and substitute is general eq of straight line

y = mx + c

Answer:

y = 2x - 6

Step-by-step explanation:

These are actually pretty fun to do once you get the hang of it! Here are the steps!

The formula for slope intercept form is y=mx + b.

m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).

To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.

y = mx + (-6)

Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:

To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.

Now all we need to do is plug the slope into the formula, and you have your equation!

Answer: y = 2x - 6

The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?

Answers

Answer:

a

Step-by-step explanation:

Which expression has the greater value ?

-8+3
-8x3

Answers

-8+3 i think lol
sorry if it’s wrong i’m not 100% sure
It is -8+3, because that would be -5, and the other one would be -24

Find the value of x to the nearest tenth. 2 4 x 8

Answers

192 because if you put 24 into 8 groups there are 192

A group of students were asked if they carry a credit card. The responses are listed in the table.


If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.

Answers

Answer:

0.383 (3 d.p.)

Step-by-step explanation:

Probability formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let P(A) = probability that the student owns a credit card

Let P(B) = probability that the student is a freshman

Use the given table to calculate the probability that the student is a freshman and owns a credit card:

[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]

Use the given table to calculate the probability that the student is a freshman:

[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]

To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of A given B is:

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

Substitute the found values into the formula:

[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]

Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).

P(Freshman credit card holder)

23/1000.23

P(Freshman)

60/1000.60

P(Freshman credit holder|Freshman)

0.23/0.60.383

Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)

Answers

Answer:

d.

Step-by-step explanation:

1) just to substitute the value of 'x' into the given equation and check equality:

(9;-2): -2≠ -45-1;

(5;24): 24≠-25-1;

(-1;6): 6≠5-1;

(-4;19): 19=20-1.

HELP PLEASE!! I WILL MARK BRAINLIST

Answers

Answer:

D

Step-by-step explanation:

Have a nice day :)

Someone help me please!!!

Answers

Answer:

Domain: 2<x<7

Range: 1<y<2

Step-by-step explanation:

Range is the y value but domain is the x value

Mark me Brainliest if this works! Thanks!

( 2, 1 ) and ( 7, 2)

Domain - 2 and 7

Range - 1 and 2

I hope you understand...

Mark me as brainliest...

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y

Answers

Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.

What is a transformation of the points?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

On a coordinate plane, 3 triangles are shown.

Triangle B C D has points (1, 4), (1, 2), (5, 3).

Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).

Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).

Reflection across the y-axis composition translation of 6 units x, -5 units y.

The diagram is given below.

More about the transformation of the points link is given below.

https://brainly.com/question/27224339

#SPJ1

Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?​

Answers

Answer:

625 miles

Step-by-step explanation:

250/4=62.5

62.5*10 = 625

Answer:

Below.

Step-by-step explanation:

There are 6 * 10 minutes in 1 hour and 4*6 = 24  10minutes in 4 hours.

So in 10 minutes she travels 250 / 24

= 10.417 miles to nearest thousandth.

Find the volume of the cubes or rectangular prisms in cubic centimeters.

Answers

Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box

Step-by-step explanation:

The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given are dimensions of cuboid and cubes, we are asked to find their volumes.

We know that, volume of cube = side³

Volume of cuboid = length · width · height

1) Dimensions of the cuboid = 3/5, 4/5, 3/5

Volume = 3/5×3/5×4/5 = 36/125 cm³

2) Dimensions of the cuboid = 1/5, 2/5, 3/5

Volume = 1/5×2/5×3/5 = 6/125 cm³

3) Side of the cube = 1/5 cm

Volume = (1/5)³ = 1/125 cm³

4) Side of the cube = 2/5 cm

Volume = (2/5)³ = 8/125 cm³

Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

For more references on volume, click;

https://brainly.com/question/28058531

#SPJ2

HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy

Answers

Answer:

C)

Step-by-step explanation:

When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.

Hope this helps!

-kiniwih426

Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)​

Answers

Answer:

78.54inches²

Step-by-step explanation:

Area of a circle=πr²

radius=½ diameter

=5inches

=π×(5inches)²

=π25inches²

=78.539816339744830inches²

rounded to the two decimal places=78.54inches²

What is 9x + 5= 32 described as

Answers

Answer:

9x + 5= 32

9x=27

x=3

Which graph shows the point (-4, 0)?
A.
B.
C.
D.

Answers

Answer:

hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.

Estimate by rounding to nearest 100 5428 + 6378 = ?​

Answers

5428 +6378 = 11806
5400 + 6400 = 11800
The other guy is right

what is an algebraic expression for the quotient w and 7?

Answers

Answer:

the quotient of w and 7

is it correct?

Step-by-step explanation:

A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.


The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.


The margin of error of the population proportion is found using half the range.


What is the interval estimate of the true population proportion?





(0.30,0.42)


(0.20,0.52)


(0.24,0.48)


(0.22,0.50)

Answers

Answer:

(0.30, 0.42)

Step-by-step explanation:

Given the sample proportion is = 0.36

Number of trials required for determining the margin of the error = 100

Sample size, n = 50

The point estimate = 0.36

The minimum sample proportion form the simulation = 0.28

The maximum sample proportion from the simulation = 0.40

Also the margin of the error of population proportion is found by using the half of the range.

Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)

Determine the angles. There’s only two answers.
A. 90 clockwise
B. 90 counterclockwise
C. 180
D. 270 clockwise
E. 270 counterclockwise

Answers

Answer:

its would be a and d

Step-by-step explanation:

6 times 5

Please use the following image for the next 7 questions. Keep in mind
that because XY is tangent to circle M, XY and XM form a right angle. XY is tangent to circle M at point X.

XM = 12 and YM = 43.


Questions:

1. What is the area of circle M?

2. What is the circumference of circle M?

3. Find the length of XY.

4. Find the measure of angle M.

5. Find the area of triangle XYM.

6. Find the area of the minor sector that has been created as a part of triangle XYM.

7. Find the arc length of the minor arc from point C to the point where YM intersects with the circle.

Answers

Answer:

Step-by-step explanation:

1). Since, XM is the radius of the circle,

   Therefore, area of the circle = [tex]\pi r^{2}[/tex]

                                                   = [tex]\pi (XM)^2[/tex]

                                                   = [tex]\pi (12)^2[/tex]

                                                   = 452.39 units²

2). Circumference of a circle = 2πr

                                                = 2π(XM)

                                                = 2π(12)

                                                = 24π

                                                = 75.40 units

3). By applying Pythagoras theorem in ΔYXM,

    YM² = XY² + XM²

    (43)²= (XY)² + (12)²

     1849 - 144 = (XY)²

     XY = 41.29 units

4). tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                  = [tex]\frac{XY}{XM}[/tex]

    m∠M = [tex]tan^{-1}(\frac{41.29}{12} )[/tex]

              = 73.79°

5). Area of ΔXYM = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(41.29)(12)[/tex]

                             = 247.74 square units

6). Area of the minor sector created by ΔXYM = [tex]\frac{\theta}{360}(\pi r^2)[/tex]

                                                                             = [tex]\frac{73.79}{360}(452.39)[/tex]

                                                                             = 92.73 units²

if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.​

Answers

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?

Answers

Answer:

well, just put in 10 instead of n, after all we want the 10th, not the n'th

3*10 -1 = 29

simple as that.

hope it helps you. if you got further questions just put them in a comment:)

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