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woooah THEN THIS MUST'VE BEEN FATE

Yes me and CentLord play the violin

Shortest distance  =

sqrt  [  (2 - 0)^2  + ( 8 - 0)^2  + ( -5 - 1)^2 ]   =

sqrt  [ 4  + 64  +  36 ]  =

sqrt [ 104 ]    =  

2 sqrt (26)

Wait do you play violin too?

Of course!

Yes!

Yes i play violin too cool!

Yes, let's. Also, it's a FLYING cat so it goes WHEEEEEE in a straight line :D

If the cat can leap, then the shortest distance is the straight line between them.  Well... it would be somewhat of an arc but let's neglect that. 

_.

Ooh, I've seen this one, it was on stack exchange! I don't want to just copy it from there though, so here's the link (very good hints):

https://math.stackexchange.com/questions/2513736/given-that-a-is-an-odd-multiple-of-1183-find-the-greatest-common-divisor-of

Haha, nah it's fine. Thanks for helping :D

We can use Euclid's algorithm for a few steps:

gcd(2𝑎2+29𝑎+65,𝑎+13)=gcd(2𝑎2+29𝑎+65−2𝑎(𝑎+13),𝑎+13)=gcd(3𝑎+65,𝑎+13)=gcd(3𝑎+65−3(𝑎+13),𝑎+13)=gcd(26,𝑎+13)gcd(2a2+29a+65,a+13)=gcd(2a2+29a+65−2a(a+13),a+13)=gcd(3a+65,a+13)=gcd(3a+65−3(a+13),a+13)=gcd(26,a+13)

which is necessarily 1,2,131,2,13 or 2626, just by looking at the first term. By factoring 11831183, and considering that 𝑎a is an odd multiple, you should be able to conclude the rest

I'm sorry for the bad spacing I wrote this in apple notes and copy-pasted

Here to help

:D

Haha. I wish I could help but I'm horrible at math. Maybe if they open a piano or violin version of web2.0calc I could be helpful lol.

TWOSET FOR LIFE!

Of course and same to you

Here to help

:D

Thanks so much! It was correct, have a good day!

Note that....at the top, we  have a rectangle  of dimensions 30 x 7  =   210  yds^2

And....we have another rectangle that is 17 x24  =  408 yds^2

Cobining these.....we get a total area of   [ 210 + 408  ]  =  618 yds^2

No matter what the value of x is, f(x) mod 15336 =216.

So, the Greatest Common Divisor(GCD) = 216.

Yay!!! Thank you!

Good job, CentsLord!!!

A "Best Answer"

Thanks, guys....good to be back  !!!

Oh OK,

Thanks for clearing up the doubt

:D 

Hey, LuckyDucky....!!!!

Only mods  can mark something as "correct'....I haven't been on here for a couple of weeks.....so...I'll mark what I can....

WELCOME BACK!!!

your the best at explanations!

:D

Oh yeah Cphill has been since march right

:D

WELCOME BACK!!!!