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

Will mark brainliest. Add 2√2+ 5√3 and √2 – 3√3.​

Answers

Answer:

3√2 + 2√3

Step-by-step explanation:

2√2 + 5√3 + (√2 - 3√3)

(2√2 + √2 ) + (5√3 - 3√3)

(2+1) √2 + (5-3) √3

3√2 + 2√3

The answer is 7.70674230227

Could somebody please help with this? I don't quite understand it. Due by the end of today.

Answers

You can use math-way for this :)

help help ASAP!!!!!!!

Answers

Answer:

Greatest angle measure is ∠Q

Smallest angle measure is ∠R

Step-by-step explanation:

As the length of side are in the same order as the measure of the angles opposite the lengths of sides. The greatest side is opposite to the greatest angle.

By using the properties of triangle , if one angle of a triangle is larger than the other angle, then the side opposite to the larger angle is greater than the side opposite to the smaller angle.

Longest side=PR=13cm

∴ Greatest angle measure is ∠Q

Smallest side=PQ=8cm

∴ Smallest angle measure is ∠R


The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?

Answers

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

PLEASE HELP LAST ONE

Answers

Answer:

H=22.5 in

The answer is A

Step-by-step explanation:

Sin(60)=h/26 where h is the height we are interested in

Multiply both side by 26

26*Sin(60) = H

H=22.5 in

the answer is A

A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3.14 for pi.

Answers

Answer:

43.96

Step-by-step explanation:warning might be wrong

The radius of a circle is 10 cm. Find its circumference in terms of pi

Answers

Answer:

20 pi is the correct answer

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Answer:

do u have insta

Step-by-step explanation:

what is 3040-17+6987x987654

Reat me 1-10

Answers

Answer:

6900741521

u cool

i guess

imma guy so...imma say u look 6/10

Step-by-step explanation:

Find the surface area of the pyramid. The side lengths of the base are equal. Square pyramid with base edge of 12 centimeters, and a slant height measuring 17 centimeters, on a triangular face. The surface area is square centimeters.

Answers

Answer:

the surface area of the square pyramid is 576.66 cm^2

Step-by-step explanation:

The computation of the surface area of square pyramid is given below:

A = a^2  + 2a × √a^2 ÷ √4 + √h^2

where

a = 12 cm

h = 17 cm

Now put the value of a and h in the above formula

= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2

= 576.66 cm^2

hence, the surface area of the square pyramid is 576.66 cm^2

Answer:

I don't know I just want to get points

Step-by-step explanation:

       

Someone help me out please?

Answers

4/4,0.40,and 40% are equal
B.
1/4=25/100 fraction
0.25=25/100 decimal
25%=25/100 percent
All three are variation of the same value

please help me, eshay lad

Answers

Answer:

122.5 cm²

Step-by-step explanation:

Area of this trapezium:

1/2 × 35 × 7

= 245/2 = 122.5 cm²

Answer:

122.5

Step-by-step explanation:

(a+b)h/ 2 = (21+14 )7/2= 35 x 7 / 2 = 122.5

I hope im rght! i

LEARNING TASK 3:

Directions: Given that b ∥ c with d as

transversal. Find the value of x in the

following.





1. ∠4 = 5x, ∠5 = 120°

2. ∠1 = 100°, ∠7 = 10x

3. ∠2 = 3x - 10, ∠6= x + 30

4. ∠4 = 3x + 10, ∠6= 2x + 20

5. ∠1 = 7x + 9, ∠5 = 5x + 31

Plssss I need this now​

Answers

Step-by-step explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

Nov. 1 Loaned $52,200 cash to C. Bohr on a 12-month, 7% note. Dec. 11 Sold goods to K. R. Pine, Inc., receiving a $1,800, 90-day, 8% note. Dec. 16 Received a $4,800, 180-day, 10% note to settle an open account from A. Murdock. Dec. 31 Accrued interest revenue on all notes receivable.

Answers

Answer:

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

Step-by-step explanation:

Preparation of the journal entries

Nov 1

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

($609+$8+$20)

Working:.

Interest Revenue

Note that 1 Nov to Dec 31st will give us 2 months

=$52,200 x 0.07 x 2/12 =$609

Note that Dec 11 to Dec 31st will give us 20 days

=$1,800 x 0.08 x 20/360 =$8

Note that Dec 16 to Dec 31st will give us 15 days

=$4,800 x 0.10 x 15/360=$20

A bag contains 4 red balls and 5 white balls of same size.
Two balls are drawn randomly one after another (without
replacement). Find the probability that both balls are red
by drawing a tree diagram.
Ans:​

Answers

Answer:

about 1/16th of a possiblity

Step-by-step explanation:

this was the best I could do. I hope this helped

Fill in the blanks with the correct words:
An event that has probability O is said to be
An event that has probability 1 is said to be

Answers

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

DOES ANYONE KNOW WHAT HAPPENS IF YOU CLICK THE LINKS?

Answers

Answer:

Your personal information is stolen. Stay away from them under all circumstances.

Ashley walks One-third of a mile each day. After 10 days, how many miles has she walked?

Answers

Answer:

3 Miles

Step-by-step explanation:

Answer:

10/3 = 3 1/3

Step-by-step explanation:

According to the information given in the word problem, she walks one-third of a mile each day.

1/3 x 10/1 = 10/3

10/3 = 3 1/3 (simplified).

Super urgent please help urgent

Answers

Answer:

A) the value is less than 67

Step-by-step explanation:

A mortgage has the terms shown below:
Balloon mortgage
$300,000
25/5 balloon
6% annual rate
Initial Monthly Payment: $1932.90
What is the amount of the balloon payment rounded to the nearest dollar?

Answers

It is 2957272949283 rounded to the neared tenth of the number you out into the question

ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square.

Answers

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

What two numbers have a product of -40 and a sum of -3?

Answers

-8 and 5: -8 x 5 = -40; -8 + 5 = -3

if the vertex of a parabola is (0, -4), what is the axis of symmetry?

Answers

0 the axis of symmetry is always the x in the vertex

If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.

How to convert the given equation to vertex form?

We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.

For parabolas, its axis of symmetry always goes through the vertex of the parabola.

In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.

Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.

Thus, the vertical line that goes through the coordinate of the vertex would be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

Learn more about the vertex form of a quadratic equation here:

https://brainly.com/question/9912128

#SPJ2

Simplify. (Use the form a + bi.)
3 − 6i
−7i

Answers

Answer:

3 - 13i

Step-by-step explanation:

3 - 6i - 7i

3 - 13i

Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3

Answers

Answer:

V = 392.70 cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

V = 22/7 * 5² * 5

V = 392.70 cm³

Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5

Step-by-step explanation: 392.5

5.
I DON'T
The rate is given as a percent (%). Before using it in the
SUFFER FROM simple interest formula, you must first convert it to a
INSANITY.
I ENJOY
EVERY
MINUTE OF IT
I a) fraction
b) decimal
c) ratio
. d) dollar amount

Answers

The formula for simple interest is (SI)= PxTxR/100
So you need to turn the percentage into a fraction so you have the rate as r/100

Solve Using the Quadratic Formula x2+2x - 40 = -8 -2x​

Answers

Answer:

x = 4, x= -8

Step-by-step explanation:

OMG, PLEASE JUST HELP, AND LOOK AT THE CHART BEFORE YOU ANSWER!!

Answers

Answer:

stop

Step-by-step explanation:

stop using this app, the chances of you actually getting a helpful response or even one at all are so slim, just pay an actual tutor at this point

Answer:

Step-by-step explanation:

A = 1,0

B = 0,-3

C = -6,5

D = -3,-5

E = -1, 4

The ages in years, of a group of friends are listed.

29, 33, 35, 49, 50, 51, 52, 29

Find the following (all answers are whole numbers):

Mean:

Median:

Mode:

Range:

Which measure best represents the data? (Write mean, median, mode, or range using lowercase letters and make sure it is spelled correctly)

Answers

Answer:

Mean: 29

Median: 42

Mode: 29

Range: 23

Step-by-step explanation:

brainlest plzzz

What is 6.23 billion in scientific notation?

Answers

Answer:

6.23 E9

Step-by-step explanation:

1 Billion = 1 E9

6.23 billion = 6.23 E9

Leave a thanks and mark brainliest if this helped.

Leave a thanks and mark brainliest if this helped.

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