Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is

Answers

Answer 1

Answer:

x² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle


Related Questions

Find an explicit formula for the geometric sequence 3, 15, 75, 375...

Answers

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

Learn more here: https://brainly.com/question/20548958

What is the length of the hypotenuse

Answers

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

Answer:

20 feet

Step-by-step explanation:

c =  (a² + b²)

c=  (12^2 + 16^2)

c= square root (400)

c= 20

The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.

Answers

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]

Step one

isolate radius

[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.

Evaluate A^2 for A = -4. -16 -8 8 16

Answers

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

I need help finding the length of GH.

Answers

Answer:

length of arc=2r+teete ×2πr

360

2×13+155°×2×22×13

360. 7

26+155°×572

360. 7

26+88660

2520

88686

2520

35.404

The distance from home to school is 7/8 of a mile for Amy and 2/4 of a mile for Tom. How much farther does Amy walk than Tom?

Answers

The answer is 3/8

because 2/4 × 2 = 4/8

7/8 - 4/8 = 3/8

Answer:

3/8 of a mile more

Step-by-step explanation:

2/4=4/8

7/8-4/8=3/8

PLEASE HELP ASAP worth alot

Answers

Answer:

I believe it is C

Step-by-step explanation:

Hope this helps

and if it at all possible and you mark me brainlyest please

Answer:

5 pts isnt a lot but ok.. and yes it is c

Step-by-step explanation:

Simplify x^2-4x+4/x^2-4

Answers

Answer:

x2 - 4x - 4

 ———————————

    x - 2  

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

I think it’s the last one
I correct answer is the second one B

Question 5 (1 point)

Answers

Answer:

B. [tex]\frac{d + 13}{d + 4}[/tex]

Hope this Helps :)

Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help

Answers

Answer:

C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.

Step-by-step explanation:

Just took assignment.

Answer:

C

Step-by-step explanation:

c

burritos are on the sale for 30% off. Your favorite burrito normally costs $8.50. how much does it cost now?

Answers

Answer:

5$

Step-by-step explanation:

70%x8.50 equalss 5$

$8.5−  30

/100  =  41

/5

(Decimal: 8.2)

13. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)

What is the value of x? Round the answer to the nearest tenth.

Answers

Answer: 16.1

Step-by-step explanation:

x^2 = 8^2 + (28/2)^2

x^2=64 + 196

x^2= 260

Take the square root of 260 and get 16.1!

The value of x is x=16.1

Chord

The perpendicular from the center of a circle bisects the chord

Radius

A line from the center of the circle to the circumference of the circle is the radius of the circle

Lets connect the center of the circle to the other end of the chord that is at the circumference of circle

The diagram attached below

The line OA from the center bisects the chord

AB= half of 28 = 14

the triangle AOB forms a right angle triangle

apply Pythagorean theorem to find out the value of x

[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]

The value of x is 16.1

Learn more information about 'perpendicular line ' here

brainly.com/question/4234327

A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3

Answers

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Question 15
2 pts
The daily caloric intake for a group of women follows a normal distribution with a mean of
1,750 calories and a standard deviation of 200 calories. What is the z-score for a woman
who had a daily intake of 2,100 calories?
2,091
-1.75
1.75
1.09
Question 16
2 pts
What is it called when you get a positive test result for a disease that you do not have?
False Negative
Margin of Error
Accuracy
True Positive
False Positive

Answers

Answer:

1. Z =  1.75

2. False Positive

Step-by-step explanation:

1. mean = 1750 calories

standard deviation, sd = 200 calories

value of interest, x = 2,100

z-score is computed as follows:

Z = (x - mean)/sd

Z = (2100 - 1750)/200

Z =  1.75

2. A false positive happens, when a negative case is detected as a positive case

What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с

Answers

Answer:

x = 45

Step-by-step explanation:

The sum of the angles of a triangle is 180

80+55+x = 180

135 +x = 180

Subtract 135 from each side

x = 180-135

x =45

Answer:

45

Step-by-step explanation:

combining the a and b lengths gives you 135 then subtract by 180 and you get 45.

What is the true solution to 2 In x=2 in 8

Answers

Answer:

x=2 is the true solution.

Step-by-step explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

Answer:

x = 8

Step-by-step explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8

The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down

Answers

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?

Answers

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

I need help nothing is working for the answer p÷3> 2

Answers

Answer:

p > 6

Step-by-step explanation:

Given

[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )

Multiply both sides by 3 to clear the fraction

p > 6

Answer:

honestly idk

Step-by-step explanation:

it may be p (1/3)

hope this is right:000

how to i find b in y=my+b if the slope is undefined?

Answers

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

What is the sum of 1-2 and V-18?

Answers

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

PLEASE HELP!! (will give brainliest for best answer)

Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect?

A) Jillian is incorrect because the square root of StartRoot 25 EndRoot = 5.5.
B) Jillian is incorrect because a square root is always rational.
C) Jillian is incorrect because square roots of perfect squares are rational.
D) Jillian is incorrect because the decimal expansion of StartRoot 25 EndRoot is a repeating decimal.


Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The square root would be 5

1. which is greater value 0.4 3/4 0.15

2. which is least value 2 and 2/3, 2.45, 2 and 2/5

3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL

Answers

1.) 3/4, 2.) 2 and 2/3, 3.) 3.95

Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55

Answers

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

HELP WITH THIS QUESTION???

Answers

Answer:

The range is 9 i think I'm not sure.

step-by-step explanation:

Maria bought an SUV for 21,000 dollars. Nancy bought a sedan for 2/3 as much. How much less did Nancy spend on her sedan?

Answers

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Find the slope of the line that passes through (10, 8) and (1, 16).
Simplify your answer and write it as a proper fraction, improper fraction, or integer

Answers

The correct answer is -8/9

Answer:

-8/9 is the answer

i need help with this !!!!!!

Answers

Answer:

Step-by-step explanation:

Use the cosine ratio, adjacent over hypotenuse. Plug in the values

cos70=x/25.5

Isolate x. Multiply both sides by 25.5

x=25.5*cos70

Enter the equation into a calculator

Math question down below

Answers

Answer:

314.961

Step-by-step explanation:

Other Questions
WILL MARK BRAINLIEST:Hello! So I need to know HOW to do this. Please don't do the work for me, I just need an explanation. thank you! 33 indica si las siguientes frases son verdaderas o falsas y corrige las falsa A) la competencia es una relacin exclusivamente interespecfica B )los parsitos pueden matar al husped C ) las poblaciones gregarias son aquellas en las que existe una jerarqua entre los individuos D) en las poblaciones coloniales individuos de distintas especies crecen unidos entre s E) En las relaciones de mutualismo y comensalismo una de las especies resulta indiferente a la relacin F) La cooperacin entre individuos beneficia tanto a estos como a la poblacin G) La simbiosis es una relacin beneficiosa para ambas especies Lee atentamente y escoge la opcin con la serie correcta de palabras que corresponde al texto. Read carefully and choose the option with the correct list of words based on the text.Hola! Me llamo Juan y soy de Alaska. El fin de semana voy a visitar a mi amigo Jorge y a conocer a su familia en Espaa. Voy a estar un mes en el pas de Jorge. En mi maleta quiero llevar ropa de verano porque es julio y hace mucho calor en Espaa. Tambin > voy a poner en la maleta un traje para ir a la boda de la hermana de Jorge en Crdoba. Jorge quiere ir conmigo a la Mezquita de Crdoba y comprar en el mercado Victoria.El fin de semana vamos al estadio a ver a nuestro equipo de ftbol favorito.En la noche voy a leer sobre Espaa en internet. Estoy muy contento y mis padres estn orgullosos porque yo voy a viajar y a aprender. (1 point)Question 26 options:1) Protagonista o protagonistas: Juan and Jorge; escenario: Alaska; tema: The clothes needed.2) Protagonista o protagonistas: Jorge; escenario: Spain; tema: the importance of friendship.3) Protagonista o protagonistas: Juan; escenario: his house or State; tema: preparation for a trip.4) Protagonista o protagonistas: Juan and Jorge; escenario: Crdoba; tema: The parents' feelings. Find the square root of 200 up to two decimals What is the value of n? 20 points! What information does Romeos letter give? PLZ HELP ME SOMEBODY...... WORD BANKWEATHER, WINDS , CONVECTION, DECREASES (2), LOW , TROPOPAUSEThe troposphere extends from Earths surface to an average of 12 km (7 miles). As you move upward, air pressure... . The temperature generally... with increasing height up to the tropopause. The... marks the transition into the stratosphere. increase with height up the jet stream. The interaction of solar energy and wind cause the upper layer of the troposphere to have a... moisture content. occurs in the troposphere due to the presence of water in the air as well as energy transfer from radiation and . Your grandmother has given you $200 for your birthday! You decide touse that money and start saving to buy a used car. The car costs $6500,and you know that you can save $350 each month. How many months willyou need to save so that you can buy this car? (Don't forget you alreadyhave $200 from your grandma) * Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in hisaccount by the end of the summer Leten be the number of lawns Stephen mows.which inequality can be used to determine the number of lawns Stephen needs to mow?A 100 + 20 < 400B 100n + 20 S 400C 100+ 20n > 400D. 100 + 200 2400 What is the probability of spinning red on the image shown? In what ways were the Italian and German fascist movements similar to each other? Percentages less than 100% definition A pelican is born with a larger bill than other pelicans of the same species. When this pelicanbreeds, some of its offspring also have larger bills. What is the most likely explanation for thelarger bills in the pelican and its offspring?Inheritance of an quoted traitA mutationNatural selectionA change in diet Which is the best explanation for why the French colonized Vietnam?AThey wanted to make money from Vietnams resources.BThey wanted to learn about communist governments.CThey wanted Vietnamese people to move to France.DThey wanted to beat Japan in World War II. who won the 7 days battle? How did the Radical Republicans' aim for reconstruction differ from President Johnson's? What two new laws passed by congress helped them achive this aim? Which is a possible path of the movements of nitrogen in the nitrogen cycle?(A) soil - airplants air animals - soilB) soil animals plantssoilanimals soul plants - air(D) air - soil plants animals soil - air Fundamentally, writing a research essay is about challenging your Why is the urban population increasing faster than the rural one? What is the circumference of the following circle?3 cm