The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?

Answers

Answer 1

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2


Related Questions

Pablo's home town temperature is about 0.55% as hot as the surface of the sun. What is 0.55% written as a decimal number?
A. 0.0055
B. 0.055
C 0.55
D. 5.5
PLEASE HURRY

Answers

Answer: A

Step-by-step explanation:

Percent means 'per 100'

So, 0.55% means 0.55 per 100 or simply 0.55/100

If you divide 0.55 by 100, you'll get 0.0055

You can paint a room in 8 hours. Working together, you and a friend could paint the same room in just 5 hours. How long would it take your friend to paint the room alone.

Answers

Answer:

friend alone could do it in 13 hours and 1/3

Step-by-step explanation:

Your rate = room/8

friends rate = room/x

combined rate = room/8 + room/x

= room(x+8)/(8x)

then

5 = room / [room(x+8)/(8x)]

5 = 8x/(x+8)

8x = 5x + 40

3x = 40

x = 40/3 = 13 1/3

friend alone could do it in 13 hours and 1/3

What is 7,300,000 written in scientific notation?

Answers

Answer:

7300000 in scientific notation can be written as 7.3 x 10^6

Here is the problem for you :)

Answers

Answer:

Angle Y:

Sin(Y) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Cos(Y) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Tan(Y) = 36/15, if simplified: 12/5, in decimal it would be: 2.4

Angle X:

Sin(X) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Cos(X) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Tan(X) = 15/36, if simplified: 5/12, in decimal it would be: 0.42

Hope this helps!

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing

Answers

Answer:

DL/dt = 1000 miles/hour

Step-by-step explanation:

Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.

Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes

Then according to Pithagoras´theorem:

L²  =  (AO)²  + (BO)²

At the moment t when the airplanes are far away as 70 and 240 miles per hour

L²  = (70)²  + ( 240)²

L²  = 4900 + 57600

L = √62500

L = 250 miles

In general

L²  = x² + y²

That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:

L² = x² + y²        where x and y are the legs ( that legs change in time then):

Tacking derivatives on both sides of the equation

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

By substitution:    since Dx/dt = 280 m/h   and Dy/dt = 960 m/h

2*(250)*DL/dt = 2*70*280 + 2*(240)*960

500*DL/dt  =  39200 + 460800

DL/dt  =  500000/ 500

DL/dt = 1000 miles/hour

Please answer the question correctly with factual information for brainliest.

Answers

The answer is A and B. To simplify 28=y^2 for have to square root each side in order to get rid of the exponent value. Since the square root is not a whole number value. The answer stays as 28 square rooted. But the alternative answer is 5.2915 so also answer A.

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)4t. There are 50 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)4t?

Answers

Answer:

t = (log200)/4 hours

Step-by-step explanation:

10,000 = 50(10)^(4t)

Divide both sides by 50

200 = 10^(4t)

Take the log of both sides

log200 = 4t

Divide both sides by 4

(log200)/4 = t

t = (log200)/4    (exact answer)

t ≈ 0.575257498915995 (numeric approximation)

Calculator

A normal distribution has a mean of 102 and a standard deviation of 2.9.

What is the z-score of 105?

Enter your answer, rounded to the nearest hundredth, in the box.

Answers

Answer:

the z score of 105 is 1.03

Step-by-step explanation:

Given that

the mean is 102

And, the standard deviation is 2.9

We need to find the z score of 105

As we know that

Z score = (Observed value - mean) ÷ standard deviation

= (105 - 102) ÷ 2.9

= 1.03

Hence, the z score of 105 is 1.03

The same would be considered and relevant

There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.

Answers

Answer: 5

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?


A. 70

B. 35

C. 10

D. 40

Answers

Answer: Hello! When I tried solving the problem and I got the answer of 70.

Step-by-step explanation:

So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.

A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.​

Answers

22cm^3

Step-by-step explanation:

My education system is different so I dont know what nearest tenth would mean in this .

But going mathematically:

Its diameter is 7 centimetres.

So to find its volume we can use the formula pi/d or pi/r^2

Now, 22/7÷7 would be 22cm³.

a. 0
b. 4
c. 64
d. 128

Answers

Answer:

d. 128

Step-by-step explanation:

a. 0

b. 4

c. 64

d. 128

What is the sum of 3 1/4 and 4 3/4 simplify answer

Answers

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

----------------

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.

Answers

To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,

Which best describes how to find the length of an arc in a circle?

From the question, we have the following parameters that can be used in our computation:

The length of an arc in a circle

The length of an arc in a circle is calculated as

Length = Angle/360 * Circumference

This is representd by the option (a)

Read more about arc length at

https://brainly.com/question/16552139

#SPJ1

I need help on this!

Study guide for exam

No links

The circle has the same question!

Answers

Answer:

60

Step-by-step explanation

20*3 becasuse it equlatrial

60m. 20 + 20 + 20 = 60 as the perimeter is the addition of all sides of the shape

What is the slope of the following graph?

Answers

I believe the slope is -2/3

The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer in simplest form

Answers

Answer:

scale factor = [tex]\frac{34}{39}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{34}{39}[/tex]

what directed number is suggested by the statement "I gained 3 pounds "?​

Answers

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

The slope of the line below is 0.4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-5, -3)

Answers

The answer in point-slope form is:
y + 3= 0.4(x + 5)

Find the x and y intercept of the equation -2x+4y=12

Answers

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

9) Which of the following shows the Associative Property of Addition
A. (18+41) + 12 = (41 + 18) + 12
B. 18+ 41 = 41 +18
C. 18+ 4) = (10 + 40) + (8 +1)
D. (18+41) + 12 = 18+ [41 +12)
Helpppp

Answers

The answer is D that is (18+41)+12 = 18+(41+12)
because A,B,C can be only be associative when
(A+B)+C= A+(B+C)
So by comparing the associative law with the options above , you will be able to get your answer

Help pls!Pls and ty!

Answers

Answer:

a

Step-by-step explanation:

A butterfly flew 743 cm, Then the butterfly flew another 567 cm end to go to a daisy.
How many meters did the butterfly travel?

Answers

Answer:

it 567+743

hope it works

how to find the volume of this cube

Answers

The answer is b because volume=length x width x height


[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

Answers

Answer:

[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]

[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

what is the sum of 5/12 and 4/9

Answers

Answer: 31/36

Step-by-step explanation:Add them up..5/12+4/5 you need to convert to a common denominator. Common denominator is 36; 15/36+16/36=31/36

Answer:

[tex]\frac{31}{36}[/tex]

Step-by-step explanation:

To get the sum you have to have the same denominator.

So you have to find out what can 12 and 9 go into without leaving a remainder which is 36.

Then you divide 36 by 12= 3 and 36 by 9= 4

Then you multiply 3 by 5= 15 and 4 by 4= 16

You add then up and you get 31

So 31/36 is the answer.

20) A water sprinkler uses 12.9 gallons of water per minute. How many gallons of water will it use in 36,5 minutes?

a)470.85

B) 480.85

c)4708.5

D) 4808.5​

Answers

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

Using Cavalieri's Principle, what is the general formula for the volume of a cone?

Answers

Answer:

The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.

Step-by-step explanation:

So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.

Which represents the area of this rectangle?

Answers

Answer:

I think is b

Step-by-step explanation:

sorry if it is not right

B is the the correct answer.

1. At an elementary school, it's picture day. Two picture packages are available. Package 1
contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two
class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an
individual class picture and the cost of an individual wallet-size picture.

Answers

9514 1404 393Answer:

class picture: $5wallet-size: $1.40

Step-by-step explanation:

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

  c +10w = 19

  2c +15w = 31

Subtracting the second equation from twice the first, we get ...

  2(c +10w) -(2c +15w) = 2(19) -31

  5w = 7

  w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

  c + 10(1.40) = 19

  c = 5 . . . . . . . . . . . subtract 14

A class picture costs $5; a wallet-size picture costs $1.40.

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