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That paper in the first page of the thread's Q16 isnt that bad tbh. I was able to get all 15 marks of it. Most students are already familiar with proof of contradiction to prove irrationals by assuming rationality with p/q where p and q are integers in lowest terms.

Hey, Ive got another mathematical question heh. Is the fact that pi is the ratio of circumference to diameter a definition, or is there a definition that allows us to prove this property I'm trying to prove the circumference of a circle using the limit to infinity of an n-gon much like how I've...

That was a good goal just then, I dont watch much AFL though lol

I know Carrot likes Coroneos for its questions and explanations and people say Terry Lee is good too

Yes it is, I think someone else should post a question while I think of a new one

So we have the conditions: a, b, c \neq 0 \sqrt{a+b}+\sqrt{b+c}=\sqrt{c+a} Square both sides of our equation a+b+b+c+2\sqrt{(a+b)(b+c)}=c+a Collect like terms, and divide everything by 2 b+\sqrt{(a+b)(b+c)}=0 Now this is important, we know that \sqrt{(a+b)(b+c)}\geq0 That means if...

No need for any real logic of probability, just general logic of dividing the valid area for the whole area. For nightweaver's question do something to the numerator and denominator of your combined fraction Correct. Another question to keep marathon rolling (other people need to post...

Correct, nice job :] Another question for everyone. This is a little harder. $Triangular region T lies in the xy-coordinate plane and has vertices at$ \\ (0,4) \ \ (10,0) \ \ $and$ \ \ (0,0) \\ $If a point in region T is randomly selected what is the probability that the point's x-coordinate...

Look at our piece-meal function and its components, we know that at x=2 and x=-3 there is a transition because they are the endpoints of the domains for the functions that connect to the other ones. That is, look at the first function for instance its domain is x > 3 so what this means is that...

Start by drawing a triangle and naming the sides a, b and \sqrt{a^2+b^2} Then write down the givens in the question and try and manipulate an expression in order to get \frac{1}{2}ab which is the area of the triangle. Also I will add that this question is considered 'very tough' by some GMAT...

Here is a good one that can be attempted with only year 10 knowledge: $The perimeter of a right angled triangle is$ \ \ 6+6\sqrt{3} \\ $If the sum of the squares of the three sides is 96, what is the area of the triangle?$

Then follow your destiny, really its not good to care about useless stuff like this

Immigrant parent logic: 'Get a good paying job and be smart and the girls will come to you regardless of looks.' may or may not be true

Lets propose a hypothesis and test any potential doubts: Proposal: Since all points that are sharp or are discontinous are non-differentiable, and our function here is a piece-wise function. That is, its a function composed of many other functions all with given domains. The proposal is...

Thanks for the support mate :)

Oh I see now it got buried beneath all my other emails. Really sorry I couldnt say thanks earlier heh, but thanks!

Ah Thanks bro :)

Yeah I know Im going to miss out on state rank heh, good to know I still have a chance at 100 HSC Mark thanks guys

Is about 3-4% internal difference 'too much'? And say both of us get 100 1st Place (Internal Mark) 100 (Exam Mark) 100 -> HSC Mark 100 (possibility of state rank) 2nd Place (Internal Mark) 99 (Exam Mark) 100 -> HSC Mark 100 (no possibility of state rank?) Is that true? Or do I have a chance...

If I score 100 Raw and first place scores 98 (counting on dem sillies) Then for example will it go: 1st Place (Internal Mark) 100 (Exam Mark) 98 -> HSC Mark 99 2nd Place (Internal Mark) 98 (Exam Mark) 99 -> HSC Mark 99 ?? So we keep our exam marks but 1st place internal gets moderated to...