The circle below is centered at the origin and has a radius of 10. What is its
equation?
10
O A. x2 + y2 = 100
O B. x2 - y2 = 10
O c. x2 + y2 = 10
O D. x2 - y2 = 100

The Circle Below Is Centered At The Origin And Has A Radius Of 10. What Is Itsequation?10O A. X2 + Y2

Answers

Answer 1

Answer:

x^2+y^2=100

Steps:-

We know Distance formula from origin

[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}[/tex]

Now

[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=10[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=10^2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=100[/tex]

Answer 2

The equation of the circle with radius r = 10 is given by x² + y² = 100

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the radius of the circle be r

where radius r = 10

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

The center of the circle is the origin O ( 0 , 0 )

So , h = 0 and k = 0

On simplifying , we get

x² + y² = ( 10 )²

x² + y² = 100   be equation (1)

Therefore , the value of A is x² + y² = 100

Hence , the equation of circle is x² + y² = 100

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Related Questions

Assume f(x) = 2x – 3 and g(x) = 5 - 2x. Find
оооо
A.5 - 2x
2х - 3
B.-8
5
C.3
5
D.2x – 3
5 - 2x

Answers

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

x

=

2

,

y

=

1

x

=

9

,

y

=

10

x

=

9

,

y

=

4

oints out of
.00
Flag
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave
your answers as radicals in simplest form.
question
60°
х
y
93
BULLY

Answers

Answer:

x = 18

y = 9

y = 9√3/√3 = 9

x = 9×2 = 18

List in increasing order.
22. 807; 780; 870
3103


Please answer for 70 points! :)

Answers

Answer:

This is already listed in increasing order:

22. 807; 780; 870; 3103

Given order .

807;780;870

We have to arrange it in increasing means lowest to highest

[tex]\\ \sf\longmapsto 780<807<870[/tex]

The listing will be

[tex]\\ \sf\longmapsto 780;807;870[/tex]

find the median of the data down belove (please hurry)

Answers

Answer:

6.2

Step-by-step explanation:

You can find the median by adding up all of the numbers and dividing the result by how many numbers there are.

add them all together: 5 + 6 +5+6+9 = 31

there are five people, so divided 31 by 5

31 divided by 5 = 6.2

6.2

Mention any two effects of load shedding.​

Answers

Answer:

loss of work and deficiency in progress

disturbance in schedule

Answer:

Shortage of gas

interruption in water supply for households that access piped water from the local municipality

Loss of profit for businesses

Step-by-step explanation:

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

Yo it's A

Step-by-step explanation:

An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite

There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence.  An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.

Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time

It's A because you add 122 every time and it goes on forever.

hope this helps lol

I’m giving out brainlist!!!

Answers

Answer:

$0.60

Step-by-step explanation:

Find the unit rate.

[tex]\frac{Dollars}{Cookies}=\frac{9}{15}[/tex] ÷ [tex]\frac{15}{15}=\frac{0.6}{1}[/tex]

Therefore, the cost for one cookie is $0.60.

Answer:

$0.60

You need to find the unit rate. Unit rate is a ratio of 1 to another number, written like 1 : ?.

If a box of 15 cookies costs $9, and you want to find the price of one cookie, then you will need to use unit rate.

Start with the ratio of cookies to dollars.

15:9

Now, you need to find out the cost of one cookie. To do this, you will need to divide 9 by 15 (9/15) because you're trying to split 9 into 15 cookies.

9÷15= .6

But, you can't have .6 dollars, so the answer will be $0.60, or 60 cents.

Brainliest is very much appreciated! I work very hard to write lengthy answers.

I'm under the water on this problem, please help me:

question: f(x)=10x−3

answer choices:

A. f(−5)

B. f(0)

C. f(7)

D. f(t^2+2)

E. f(12−x)

F. f(x+h)

Answers

Answer:

See below

Step-by-step explanation:

Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.

A) Plug in -5 to all x values

   f(-5)=10(-5)-3

          ==50-3

    f(-5)= -53

B) f(0)=10(0)-3

    f(0)= -3

C) f(7)=10(7)-3

         =70-3

    f(7)=67

D) f(t^2+2)=10(t^2+2)-3

                 =10t^2+20-3

     f(t^2+2)=10t^2+17

E) f(12-x)=10(12-x)-3

              =120-10x-3

    f(12-x)=117-10x

F) f(x+h)=10(x+h)-3

             =10x+10h-3

Find the largest integer not greater than the following expression :
[tex]\displaystyle \large \boldsymbol{} \frac{2150}{2005} +\frac{2150}{2006} +\frac{2150}{2007 } + ...+\frac{2150}{2020}[/tex]

Answers

Answer:

17

Step-by-step explanation:

The number of terms:

2020 - 2004 = 16

Each term is greater than 1, so the expression is greater than 16:

2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020

It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.

The sum is:

S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17

So the largest integer not greater than S is 17.

Karl has 10 shirts. Four shirts are green and 1 is blue. What fraction of Karl’s shirts are green or blue?

Answers

Answer:

1/2 of his shirts are green or blue

Step-by-step explanation:

4+1 / 10 = 5 / 10 = 1 / 2

HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and the other two vertices on the semi-circle. What is the exact area of the rectangle? What is the equation of the semi circle?

Answers

The Area of rectangle is "[tex]30 \ unit^2[/tex]" and the equation of the semi circle is "[tex]y = \sqrt{36-x^2}[/tex]".

According to the question,

The vertices of rectangle,

(5, 0) and (-5, 0)

Length,

l = 10 unit

Breadth,

b = 3 unit

Radius of semi circle,

r = 6

Centre of origin,

(0, 0)

As we know,

→ The Area of rectangle is:

= [tex]Length\times Breadth[/tex]

= [tex]10\times 3[/tex]

= [tex]30 \ unit^2[/tex]

and,

→ The Equation of semi circle is,

[tex]y = \sqrt{r^2-x^2}[/tex]

by substituting the values, we get

  [tex]=\sqrt{(6)^2-x^2}[/tex]

  [tex]= \sqrt{36-x^2}[/tex]

Thus the above is the correct answers.

Learn more about Area of rectangle here:

https://brainly.com/question/14383947

30 POINTS

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART


PLEASE GIVE EXPLANATION

Answers

It’s c just try think of it logically

X/4- 2 =x/8+4

What value of x makes the equation in the reference image true ?

Answers

Answer:

The answer to your question is x=48

Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.

x/4−2=x/8+4

1/4x+−2=1/8x+4

1/4x−2=1/8x+4

1/4x−2−1/8x=1/8x+4−1/8x

1/8x−2=4

1/8x−2+2=4+2

1/8x=6

8*(1/8x)=(8)*(6)

x=48

I forgot everything I learned

Answers

Answer:

What do you need help with

Step-by-step explanation:

Do you need help with a specific question? Or with the whole assignment?

What is the range of the function y = x² + 1?

Answers

Answer

[ 1 by 2, -1 by 2 ]

Step-by-step explanation:

https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg

Answer:

range { 1, ∞ }

Step-by-step explanation:

y = x² + 1

is a parabola with its vertex at (0, 1)

The range is { 1, ∞ }

ASAP HELLP PLS, WILL GET BRAINLIEST FOR FIRST CORRECT ANSWER!!!

Diego says a quadrilateral with 4 congruent sides is always a regular polygon. Mai says it never is one.
Do you agree with either of them?

Answers

Answer:

A regular polygon all the angles, as well as all the sides, are equal.

Diego's claim is the quadrilateral with four congruent sides is always a regular polygon. He is only mentioning that the sides are equals.

He has not mentioned anything about the angles, the angles may or may not be equals.

In the case, if all the angles are equal too, then the claimed quadrilateral will be a regular polygon as shown in figure(a).

So, for this case, Diego's claim is correct while  Mai's claim is also wrong.

While if all the angles are not equal, then the claimed quadrilateral will not be a regular polygon as shown in figure(b).

In this case, Diego's claim is wrong while Mai's claim is correct.

So, overall, considering both the case together, none of them have the correct claim.

So, both are wrong.

Step-by-step explanation:

PLEASE PLEASE HELP!!
(numbers in drop down menu are the same options for all of the x values)

Answers

Answer:

1) for -1 as x, k(x) would be -8

2) for -3 as x, k(x) would be -18

3) for 0 as x, k(x) would be -3

4) for 1 as x, k(x) would be 2

Answer this question​

Answers

Answer:

The original number is 82

Step-by-step explanation:

Very interesting question!

There is only 1 number that satisfies this condition between 10 and 9999 (I could have gone much further but didn't)

That number is 82

If you subtract 7 from 82 you get 75

75/5 = 15

If you subtract 5 from 82 you get 77

77 divide by 7 = 11

Here's the kicker.

11 is 4 less than 15.

Isn't that a weird coincidence? No other number (I would bet) does that.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. ​

Answers

Answer:

y = -2x + 5

[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2

Step-by-step explanation:

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.


0.5

0.13

5

0.38

Answers

Answer:

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

P(RnG) = 5

[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]

Therefore:

[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]

The conditional relative frequency = 0.385

The conditional relative frequency will be  0.385

What is Baye's theorem?

It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]

P(RnG) = 5

P(G) = ∑(Green hairs)

P(G)= 13+5+5 = 13

Therefore:

[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]

The conditional relative frequency = 0.385

Hence the conditional relative frequency will be  0.385

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Sasha is twice as old as Kapila. If Kapila is x years old, find their total age.

Answers

Answer:

3x

Step-by-step explanation:

If Kapila's age =x.

Then Sasha's age would be =2x.

Their total age would be 3x.

Because 2x+x adds up to be 3x.

Please help me I need it ASAP

Answers

Step-by-step explanation:

the domain is the interval of x (input) values.

the range is the interval of y (result) values.

a) I would not guess (-3, 5). because -3 for x is at the beginning of the interval. and the end values of y (range) are -4 and 7 - not close enough to 5 to make me make a guess.

b) (2, 5) : 2 is closer to 5 end of the x interval, and 5 is closer to the 7 end of the y interval, so, this is closer correlated, and I could dare a guess.

Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part B
What is the value of the expression when b = 2 and c = -3?

Answers

Answer:

8

Step-by-step explanation:

-4(2)+8(-3)+12-8(2)-2(-3)+6=-8-24+12-16+6+6=8

Answer:

-24

Step-by-step explanation:

-4b + 8c + 12 - 8b - 2c + 6

Combine like terms

6c+18-12b

Let b=2  c=-3

6(-3) +18-12(2)

-18 +18 -24

-24

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is correct about the data set 7, 10, 9, 100, 5, 12?
A. The data set has an outlier
B. The mean is the best and most accurate measure to describe this data set
C. The data set has two modes
D. The data set has a median of 10

Answers

Answer:

A. The data set has an outlier

Step-by-step explanation:

The data set has an outlier because 100 is the largest number of the set.

Answer:

option b

Step-by-step explanation:

Factorise each expression 8 - 2v²

Answers

Answer:

hello thereee

8 - 2v^2 we are suppose to facotrize...

2 ( 4 - v^2 )

2 ( 2^2 - v^2 )

apply identity a^2 - b^2

2 ( 2 + v ) ( 2- v )

done dana done.....

please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!

Answers

Answer:

Just use a calculator and wite the square root value in it

Step-by-step explanation:

Atempt this method with all options at last u will have ur answer

A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 34 that have no defects. What is the probability that a sample of four calculators from this batch will contain no defective calculators

Answers

Answer:

below

Step-by-step explanation:

P (at least one defective) = 1 - P(all calculators work)

=  

1

(

30

46

×

29

45

×

28

44

×

27

43

)

=

1

1827

10879

 

=  

9052

10879

0.832

Convert 7.5 gallons to quarts using a unit multiplier.

Answers

Answer:

7.5 Imperial Gallons = 30 Imperial Quarts

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

30 qt.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

There are 4 quarts in a gallon.

7.5 * 4 = 30

7.5 gal. = 30 qt.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

if sinθ/secθ =1/2, find sinθ+secθ/sinθ-secθ

Answers

Answer:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \frac{\sin \theta}{\sec \theta} = \frac{1}{2}[/tex]

And we want to find the value of:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta}[/tex]

From the second expression, we can divide both the numerator and denominator by sec(θ). Thus:

[tex]\displaystyle = \frac{ \dfrac{\sin \theta + \sec \theta}{\sec \theta} }{ \dfrac{\sin \theta - \sec\theta}{\sec \theta} }[/tex]

Simplify:

[tex]\displaystyle = \frac{\dfrac{\sin \theta}{\sec \theta} + 1}{\dfrac{\sin\theta}{\sec\theta} - 1}[/tex]

Since we know that sin(θ) / sec(θ) = 1 / 2:

[tex]\displaystyle = \frac{\left(\dfrac{1}{2}\right)+1}{\left(\dfrac{1}{2}\right)-1}[/tex]

Evaluate:

[tex]\displaystyle = \frac{\dfrac{3}{2}}{-\dfrac{1}{2}} = -3[/tex]

Therefore:

[tex]\displaystyle \frac{\sin \theta + \sec \theta}{\sin \theta - \sec\theta} = -3[/tex]

maths class 9
Multiply: 4√12 2√12

Answers

Answer:

[tex]4 \sqrt{122} \sqrt{12} \\ (4 \times 2) \times ( \sqrt{12} \times \sqrt{12} ) \\ (4 \times 2) \times 12 \\ 8 \times 12 \\ 96[/tex]

The answer:
48 the sign thing 16
Decimal form would be
117.57550765
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