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x^2-24x+144)+(y^2+10y+25)=9

(x-12)^2+(y+5)^2=9

(x-12)^2+(y+5)^2=3^2

so the center of the circle is (12,-5)

Using the pythagorean theorem, you would get 12^2+5^2=169

The square root of 169 is 13, so your answer might be 13 

Im pretty sure thats your answer Hopefully you understand if not just ask and I'll go more in debt!

$:($

Hello Guest!

Let's start by setting the measure of angle A as x. 

That would make angle C 5x, and since angle B is congruent to angle C, angle B is 5x too.

Angle A = x

Angle B = 5x

Angle C = 5x

The sum of the angles in a triangle is 180. 

So Angle A + Angle B + Angle C = 180.

x + 5x + 5x = 180

11x = 180

x = 180/11

Since we're looking for Angle B, we just do 180/11*5 = 900/11

I hope this helped :))))

=^._.^=

Angle B =Angle C = 4 x 20 = 80 degrees try that hope that helped!

Yeah I do live in the usa UwU I wish you a happy new year And a great day on the top of that!

That's amazing. :)))

I love the feeling of finally understanding a problem. 

=^._.^=

Oh, can I ask again in a bit? I think I got it.

I don't know how to reedit the question, which I would have if I could. It won't let me.

Hello TheOddOne again

I think I have a better sense of the problem now. 

Consecutive odd number are like 1, 3, and 5 or 7, 9, 11. 

They are odd numbers that are right next to each other. 

Another way to write them is x, x+2, x+4, when x is an odd number. 

If x, y, and z are consecutive odd numbers then y = x + 2 and z = x + 4. 

Do you have anymore questions?

I'd love to answer them.

But next time, try to be a bit more careful when writing variables, it can get a bit confusing. 

=^._.^=

Hi even if you dk what to do can you guys try to give it a try so I could get an idea. Sorry if I sound impatient.

Ah, yeah! Thank you so much! :D

;D that would be nice

Awh we can still be friends through!

(I lost the email used-and i don't know how to recover that gmail account...)

Hi Wolfie, it is already well into New Years Day here.   I suspect you live in the USA.

Anyway, when you catch up to me, I wish you, and all our members and guests a very Happy New Year!

Also, I kept flipping x and z. My fault... It's all supposed to be x so far. The question is what is z?

Hi catmg!

So if I'm reading this right:

( y - x ) = 2

( y + x ) = 172

- x = 2 - y

x = y - 2

Where did you get y+2?

Did I make another addition mistake... I shouldn't stay up late lol

Yes finally a new pun :')

Hello TheOddOne (I love your profile picture)

The formula you used is x^2 - y^2 = (x+y)(x-y)

So  y^2 - x^2 = 344 is actually (y+x)(y-x) = 344. 

Since x = y + 2. 

Following your logic, y - x = 2 (consecutive odd number), so y + x = 172 (344/2). 

y = 85

x = 87

Which makes z 89.

I hope this helped. :)))

=^._.^=

I actually had another account on here-forgot the password... :facepalm:

I would like to talk to the friends I made on here again... Started the account in 2018!

Hopefully you do find some :D

You to!:D

Hi Guest!

Someone already answered, but I just wanted to show an alterior method. 

Btw, floor is just highest integer lower than x. So floor(3.6) = 3

floor(5/2) = 2

floor(10/2) = 5

(2+1)(5+1) = 18. 

So our answer is 18. 

=^._.^=

Hello Guest!

Let's start by setting the sides of our rectangle as x and y. 

2x + 2y = perimeter

x*y = area

Thus, our equation is x*y = 4(2x + 2y)

x*y = 4(2x + 2y)

x*y = 8x + 8y  # Distribute

x*y - 8x - 8y  # Subtract 8x + 8y to both sides

The next part is kinda complicated. 

(x-8)(y-8) = xy - 8x - 8y + 64

So (x-8)(y-8) = -64

The smallest possible perimeter will be when x and y are very close, but since it's not a square, x and y can't be equal, x-8 and y-8 both must be positive integers too. 

Out of our factors of -64, -8 and 8 are the closest to each other. However, this doesn't work because for y - 8 = -8, y is equal to 0.

The next closest factor is -4 and 16. 

x - 8 = 16

x = 24

y - 8 = -4

y = 4

Thus, our side lengths are 4 and 16 making the perimeter 40. :)))

I hope this helped.

=^._.^=