Mathematics High School

determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3

Determine An Equation And The Radius For The Circle That Has Its Centre At The Origin (0,0) Passes Through

Answers

Answer 1

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

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

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

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Related Questions

Y=1/4 (x+2)(x – 6
1) (13 points) Study the equation:
A) What are the x-intercepts of this equation? Show your work.

Answers

I have no idea I’m answering this because I need to ask more questions

Help ASAP I’ll mark you as brainlister

Answers

Answer:

I think 9, sorry if this is wrong

Step-by-step explanation:

Two similar blocks have corresponding edges of length 10cm and 20cm.find the ratio of their masses​

Answers

14 is the correct answer

C divided by 5 ? please i need help

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Answer:

0.2 coulombs is the answer

2x - 4 = 2( x - 1 ) + 3

Answers

there is no solution to this problem

how many oz are in 1 gallon and a cup​

Answers

72038302229877777389Step-by-step explanation:

Can you add 4√10 and 4√6 together? If so, what is the answer?

Answers

Answer:

No, because the radicands are not the same

Step-by-step explanation:

What is the slope of the line shown below? (-3,-7) (9,1)​

Answers

Answer:

Slope is 2/3

Step-by-step explanation:

(-3,-7) (9,1)​

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

m = (1 + 7)/ (9 + 3)

m = 8/12

m = 2/3

Answer:

The Slope is -91

I need help on this question.

Answers

The correct answer is C.


Brookwood High School is considering adding co-ed soccer to the sports program for the fall
season. In order to get an unbiased sample of interest in soccer, who should the school survey?
A. girls in PE class

B. members of the soccer team

C. every fifth student entering the cafeteria

D. students in freshman homerooms

Answers

Answer:

B

Step-by-step explanation:

If 4 jalapenos cost $0.45, how much is 1 jalapeno?

Answers

Answer:

$0.11 approx

Step-by-step explanation:

If 4 jalapenos cost $0.45, how much is 1 jalapeno?

Given data

We are told that  4 jalapenos cost $0.45

If  4 jalapenos cost $0.45

the 1 jalapenos cost x

cross multiply

x= 0.45/4

x= 0.1125

Hence the cost of 1 jalapenos is $0.11 approx

Can a triangle have two obtuse angles? please Justify your answer.

Answers

Answer:

No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.

Step-by-step explanation:

Answer:

No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.

Step-by-step explanation:

Can u help me solve this ?

Answers

Answer:

He can buy 3 video games

Step-by-step explanation:

150-94=56

$15=1 video game

15x3=45

Answer:

3

Step-by-step explanation:

150-94=56

this means we have 56 dollars remaining

each game is 15 dollars and if you bought 3 games that would add up to 45

56-45=11 which isn't enough for another game but will cover tax

so the answer is 3

Smore :)

What the simplest way to divide 3/(-74)

Answers

Answer: -3/74

Step-by-step explanation:Maybe easiest way is a calculator but Have a brilliant day of learning!

I swear y’all are mean for not helping me on this :( I just need to know how many lines of symmetry there are but I can’t figure out how many.

Answers

i think it might be A im really not sure though

Answer:

A

Step-by-step explanation:

I would say 0

Question in photo! answer asap! will give brainliest!

Answers

Answer:

Option B

Step-by-step explanation:

When you put option b in y intercept form, the slope is -3/2 which is the negative reciprocal of  2/3, making the lines perpendicular.

3x + 2y = -4

-3x           -3x

2y = -3x -4

/2       /2

y = -3/2 -2

25 POINTS // URGENT

SportsTown is having a 30%-off sale on baseball equipment. Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question
49 - 0.3(49). Juan finds the sale price by multiplying 0.7(49).
Who found the correct sale price?



GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the your answer and it will be removed shortly afterwards.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer: Thus both of them got it correct

Step-by-step explanation:

Step 1

Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).

the Price will be 49-14.7=34:3

Step 2

Juan finds the sale price by multiplying 0.7(49).

0.7x 49 =34.3

Find the diameter and radius of a circle with the given circumference. C = 9cm *

Answers

Answer:

C≈28.27

Step-by-step explanation:

C=2πr

A=2·π·4.5

A≈28.27433

(round up by the nearest hundreth. very sorry if i get this question wrong.)

Help me with this please

Answers

Answer:

B

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x=2

Step-by-step explanation:

x-5=-3

x=2

Assuming similarity, find the value of x.

Answers

Answer:

20

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

9/4 = 2.25

8/18 = 2.25

2.25 x 10 = 22.5

simple ratio work and multiplictaion

Round : 523.333333333
to the nearest hundredth

Answers

523.33

Hundreds, tens, ones.tenths, hundredths

Is This a Linear Function?explain

Answers

no because it’s points dont form a straight line.

1. Which expression is equivalent to c+C -0.44?
A. 1.44c
B.1.56c
C c-0.44
D.2c -0.44
Please help RN please

Answers

Answer:

I think B but Im not 100% sure

Is that right?

Please help

Answers

Answer:

yes x = 16

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

133 = x + 117 ( subtract 117 from both sides )

16 = x

Maximize Y = 1.27 - 0.03x - 0.05y, using the constraints:
x>_0
y>_0
Y>_-x+10
Y<_-x+15
y<_2/3 x

sorrry I couldnt write it any better

Answers

Answer:

a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.

Step-by-step explanation:

okay heres the photo

Answers

Anwser = 117


Hope it helped

Solve the literal equation for y.
6x + 3y = 3

Answers

Answer:

6

Step-by-step explanation:

because 3x3=6

so y would have been 6 not sure if am correct but I'm trying something

determine the missing angle​

Answers

Answer:

180-77

Step-by-step explanation:

adjacent angles are supp

Answer:

103° | See Attached Image

Step-by-step explanation:

The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)

The corresponding angle to the vertical of 77° is also equal to 77°.

X is supplementary to the previously mentioned angle, so it adds up to 180°.

180 - 77 = 103°

Select the inequality that match the situation:
A school fundraiser has a minimum target of $500. Faculty have donated $100 and there
are 12 student clubs that are participating with different activities. How much money
should each club raise to meet the fundraising goal?
12x - 100 > 500
12x +100 > 500
12x- 100 > 500
12x + 100 > 500
12x - 100 < 500
12x + 100 < 500

Answers

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

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