Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0

Answers

Answer 1

The general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41

How to determine the general form of the equation for the given circle centered at O(0, 0)?

The given parameters are

Center = (0, 0)

Point = (4, 5)

Rewrite the given parameters are

(a, b)= (0, 0)

(x, y) = (4, 5)

The general form of the equation for the given circle is represented as:

(x - a)^2 + (y - b)^2 = r^2

Substitute the known values in the above equation to calculate the radius r

(4 - 0)^2 + (5 - 0)^2 = r^2

Evaluate the difference

4^2 + 5^2 = r^2

Evaluate the exponent

16 + 25 = r^2

Evaluate the sum

41= r^2

Rewrite as

r^2 = 41

Substitute r^2 = 41 in (x - a)^2 + (y - b)^2 = r^2

(x - a)^2 + (y - b)^2 = 41

Substitute (a, b)= (0, 0) in (x - a)^2 + (y - b)^2 = 41

(x - 0)^2 + (y - 0)^2 = 41

Evaluate the difference

x^2 + y^2 = 41

Hence, the general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41

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T mBAC = mB'A'C'

F 2mABC = mA'B'C'

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Step-by-step explanation:

(Calculator)

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I hope it is correct

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Step-by-step explanation:

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Answer:

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Answer:

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I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.

In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!

2x-y+8z=13 1️⃣

3x+4y+52=182️⃣

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We first combine liked terms in equation 2 and 3.

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3️⃣turns into 5x-2y=92 let's call it 3️⃣'

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3️⃣'*2

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450/13+4y=-442/13

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523/13+8z=169/13

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This problem is kind of messy so let me restate my answer!

x=150/13

y=-223/13

z=-177/52

I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!

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Answers

Answer:

Step-by-step explanation:

The interest after 8 years is $240

The balance after 8 years is $540

Hope this helps!

Plz, Mark Brainliest!

The interest after 8 years is $240 and the balance after 8 years is $540.

What is Simple interest?

Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.

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Answers

Answer:

Step-by-step explanation:

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daughters age now be y

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pls mark brainliest

Answer:

Let the age 10 years ago of daughter be ( x years ) and age of father would be ( 6x years )

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ATQ,

6x + 20 = 2( x + 20 )

=> 6x + 20 = 2x + 40

=> 6x - 2x = 40 - 20

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Hence, Present age of daughter = ( x + 10 )

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Step-by-step explanation:

your answer Miss.

3 A pair of vertical angles is formed as shown.
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