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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Step-by-step explanation: To calculate the percentage, multiply this fraction by 100 and add a percent sign. 100 * numerator / denominator = percentage . In our example it's 100 * 2/5 = 100 * 0.4 = 40 .

in 10 years time a father Will be twice as old as his daughter.10 years ago he was six time as old as his daughter.How old is each now

Answers

Answer:

Step-by-step explanation:

let fathers age now be x

daughters age now be y

10 years hence

(x+10)= 2(y+10)

x+10 = 2y+20

x-2y=10

10 years ago

(x-10)= 6(y-10)

x-10 = 6y-60

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x-2y=10

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substitute y in x-2y=10

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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 )

After 10 years, age of father = ( 6x + 10 + 10 )

= ( 6x + 20 ) years

And Age of daughter will be = ( x + 10 + 10 )

= ( x + 20 ) years

ATQ,

6x + 20 = 2( x + 20 )

=> 6x + 20 = 2x + 40

=> 6x - 2x = 40 - 20

=> 4x = 20

=> x = 5

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

= ( 5 + 10 )

= 15 years

Present age of father = ( 6x + 10 )

= 6( 5 ) + 10

= 30 + 10

= 40 years

Step-by-step explanation:

your answer Miss.

A bakery used 35% more sugar this month than last month. If the
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Answers

Answer:

486 kg

Step-by-step explanation:

(Calculator)

360 + 35%

=486

I hope it is correct

You deposit $300 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 8 years?
The interest earned is $? after 8 years.
b. What is the balance after 8 years?
The balance is $?
after 8 years.

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.

Given that, You deposit $300 in a savings account. The account earns 10% simple interest per year.

SI = P*R*T/10

Where P = principal

R = rate

T = time

a) The interest earned after 8 years:-

SI = 300*10*8/100 = $240

b) The balance after 8 years:-

Amount = 300+240 = $540

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

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Answer:

Whats the question?

Answer:

Yeeeee

Step-by-step explanation:

A person walks 1/3 of a mile every half hour. How far
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Answer:

1 1/3 miles

Step-by-step explanation:

1/3 is for a half-mile, so double it to 2/3 for one mile.

Now double it again for two hours.

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Answer:

The person will walk 1 1/3 miles in 2 hours.

Step-by-step explanation:

There are 4 half-hours in 2 hour

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Answers

Answer:

Answer is above (In the image).

Step-by-step explanation:

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

5x-2y-72=203️⃣

We first combine liked terms in equation 2 and 3.

2️⃣turns into 3x+4y=-34 let's call it 2️⃣'

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

Then solve for x

3️⃣'*2

10x-4y=184

3️⃣+2️⃣

13x=150

x=150/13

Now substitute the x back into equation 2️⃣'

3*150/13+4y=-34

450/13+4y=-442/13

4y=-892/13

2y=-446/13

y=-223/13

Now we can substitute this back into 1️⃣ to solve for z

2*150/13- - 223/13+8z=169/13

523/13+8z=169/13

8z=-354/13

4z=-177/13

z=-177/52

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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Answer:

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Step-by-step explanation:

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Answer:

1.

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Answers

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Answer:

Step-by-step explanation:

do you mean 3-5=-2 ?

Answer:

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Step-by-step explanation:

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