The equation of a circle centered at the orgin is x^2 + y^2 = 16. What is the radius of the circle

Answers

Answer 1

Given:

The equation of the circle is:

[tex]x^2+y^2=16[/tex]

To find:

The radius of the circle.

Solution:

The standard form of a circle is:

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

Where, (h,k) is the center and r is the radius.

We have,

[tex]x^2+y^2=16[/tex]

In can be written as:

[tex]x^2+y^2=4^2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]h=0[/tex]

[tex]k=0[/tex]

[tex]r=4[/tex]

Here, the center of the circle is the origin and the radius is equal to 4 units.

Therefore, the radius of the given circle is 4 units.


Related Questions

What is the surface area of this figure?
15 in
10 in
10 in

Answers

Answer: 800

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

The surface area of the figure is 40 + 5π.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

From the figure,

We have a semicircle and a rectangle.

Now,

Diamter = 10 in

Radius = 5 in

Circumference = 2πr

Semicircle circumference = πr

Now,

The surface area of the figure.

= 15 + 10 + 15 + πr

= 40 + 5π

Thus,

The surface area of the figure is 40 + 5π.

Learn more about rectangles here:

https://brainly.com/question/15019502

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The complete question.

The figure is attached.

this is the third time and i a really annoyed as i am having my time wasted and points
plz help me

Answers

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

Martha conducts aerobics three times a week in her home in the first group there are 19 members in the second 22 and the third 14 how many people attend aerobics at Martha’s althougher

Answers

Answer: 55 people attend aerobics at Martha’s altogether

Step-by-step explanation:

Martha conducts aerobics three times a week in her home.

Number of members in first group = 19 members

Number of members in second group = 22 members ; and

Number of members in third group = 14 members

To find the number of people who attended aerobics we have to add the number of members in all tge three groups.

So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members

Hope it helps.

Thank you :)

Step-by-step explanation:

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning

Answers

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

What is the value of the expression 10-1/2^4x48

Answers

Answer:

7

Step-by-step explanation:

Surface Area:Question 10

Lamar plans to paint the net above before folding it into a

triangular prism. What is the surface area he will paint?

13 cm

10 cm

Select one:

12 am

13 cm

840cm

20 cm

O

780cm

810cm

ОО

0 720cm

Answers

Answer:

Don't understand 12am like how

need help on this plz​

Answers

A

Goodluck ggggggguuuuuuuuuuuuuuuu

PLSSSSSS HELP I WILL GIVE BRAINLEST I PROMISSSSSSSSSSSSSE

Answers

Answer:

option (C) is right answer

Answer:

this is for scaming me HAH

Step-by-step explanation:

Find the slope between the following two points.
(-4,0)(5,-8)

Answers

Answer:

-8/9.

Step-by-step explanation:

The slope = difference in y-values / corresponding difference in x values

Slope = (-8-0)/(5 - (-4))

= -8/9.

what are the factors of 64 that have a sum of 16

Answers

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

What is the angle of rotation for the following figure?

60°

72°

90°

120°

Answers

Answer:

72

Step-by-step explanation:

360/5 = 72

The angle of the rotation will be 72°. Then the correct option is B.

What is a transformation of geometry?

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

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

The pentagon is shown.

The angle of rotation of the pentagon such that the pentagon will remain in the same position.

Then the angle of the rotation is given as,

⇒ 360° / n

Where n be the number of the sides of the polygon.

In pentagon, the number of the sides will be 5.

Then the angle of the rotation will be

⇒ 360° / 5

⇒ 72°

Thus, the angle of the rotation will be 72°

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

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You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a green marble?

help fast

Answers

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrived on each of the days were: 12, 19, 17, 26, 26. What is the mean number of people who were at the pool?

Answers

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Find area of parallelogram plz

Answers

Answer:

A)

Step-by-step explanation:

The answer is A) because the formula to solving the area of a parrellogram is b x h

I need help on this for brainly

Answers

Answer:

d

Step-by-step explanation:

(7,1)

Which formula can be used to find the volume of a basketball?
A. V = Bh
B.
C.
D.

Answers

Answer:

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Step-by-step explanation:

Since,

Basketball is a spherical object.

Hence,

It's volume would be,

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Answer ^

Answer:

C)  V= 4/3 pie r 3

Step-by-step explanation:

edge 2022

Miguel compró 6 azulejos cuadrados cuya área es de 49 cm^2 cada uno y los ubicó en dos columnas de tres azulejos en la pared. ¿Cuál es el perímetro del rectángulo formado por estos azulejos en dicha disposición?

Answers

Answer:

the perimeter of the rectangle is 70 cm

Step-by-step explanation:

The computation of the perimeter of the rectangle is given below:

first we determine the side of each tile i.e.  

l² = A

l² = 49cm²

l = √49cm²

l = 7cm

now we calculate the perimeter i.e.  

P = 2 (3 (7cm) + 2 (7cm))

= 2 (21cm + 14cm)

= 2 (35cm)

= 70cm

Hence, the perimeter of the rectangle is 70 cm

Which scenario could be best represented by the graph?

A a ballon descending
B a car increasing speed
C a person climbing up the stairs
D a child swinging on a swing

Answers

Answer:

I think swinging.

Step-by-step explanation:

I think this because that is the only one that would explain why the distance decreases and increases.

Sarah started with 40 pieces of gum and gave away x pieces . Gerardo started with 24 pieces of gum and gave away twice as many pieces Sarah did . how many pieces of gum did Sarah give away if they had same number of pieces of gum left

Answers

1526 you welcome pieces

Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.

SCALE FACTOR ABE TO ACD

Answers

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]

Miguel bought a ¾ pound bag of chocolate chips. He used ⅘ of the bag in his chocolate chip cookies. How many pounds of chocolate chips did he use?

Answers

Convert to percentages to understand the question better:

3/4 = 75%

4/5 = 80%

What is 80% of 75%?

Convert the percentages to decimals:

75% = 0.75

80% = 0.8

Calculate:

0.8 × 0.75 = 0.6

Convert back to original problem's format (fraction):

0.6 = 60% = 6/10 = 3/5

Miguel used 3/5 pounds of chocolate chips.

The cost of buying different numbers of bagels is shown. Is the cost a function of the number of bagels bought? Explain.

Answers

Answer:

6

Step-by-step explanation:

Answer:

Yes, because each input (number of bagels) has a single output (cost).

Step-by-step explanation:

Please help im almost done (this is 12 year old math)​

Answers

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

Hi, please explain how you got the answer, thanks! ​

Answers

Solve the inequality
-12 < x - 2.5 < 12
-9.5 < x < 14.5
14.5 - (-9.5) = 24

Solution: there are 24 integer values

Answer: 24

Step-by-step explanation:

FIrst solve:

x-2.5 =+-12

1) x=14.5

2) x= -9.5

add both of them( get rid of the minus sign) 14.5+9.5 = 24

g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b

Answers

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

Can u help me pls? Thanks

Answers

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2

If u can help me do this.. You are a LEGEND✨

Answers

Answer:

The answer is the 3rd one i think ,

Step-by-step explanation:

The real answer is 23 and the nearst item among these , is 20.2% .

Hope this helps u .

Good luck ^^

HELP I need the work too

Answers

Answer:

C) 36

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 9

h = 8

Work:

A = 1/2bh

A = 1/2(9)(8)

A = 4.5(8)

A = 36

if 3 square + 4 square is equals to 5 square then why four square + 5 square is not equals to 6 square​

Answers

Answer:

Logic

Step-by-step explanation:

3 square = 9

4 square = 16

9+16= 25

5 square = 25

4 square = 16

5 square = 25

16+25= 41

6 square = 36

PLEASE HELPPP!! Noah jumped eight inches farther than the sum of the jumps made by his teammates Ava and Logan. Which equation represents the length of Noah’s jump?

A. z = x + y − 8; x represents Logan's jump, y represents Ava's jump, and z represents Noah's jump.

B. x = 8 + y + z; x represents Logan's jump, y represents Noah's jump, and z represents Ava's jump.

C. y = x + z − 8; x represents Ava's jump, y represents Noah's jump, and z represents Logan's jump.

D. x = y + z + 8; x represents Noah's jump, y represents, Logan's jump, and z represents Ava's jump.

Answers

Answer:

d

Step-by-step explanation:

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