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your list isn't right. it has permutations, and even then not all of them - you forgot 6,2,1 and 6,1,2 which would give you 18 1,2,6 1,3,5 2,3,4 = 3 combinations (you can multiply by 3! to get the permutations) total combinations = 9!/6!3! = 84 so probability is 3/84 = 1/28 for the second...

use distance formula (3x - 4y - 12)/sqrt(3^2 + 4^2) = (y + 2)/(1^2) 3x - 4y - 12 = 5y + 10 3x - 9y - 22 = 0 giving a gradient of 1/3 which lies between the gradients of the other 2 lines I assume it only lies beyond the point of intersection of the lines; 3x - 4y - 12 = 0 y = -2 3x + 8 - 12 =...

You find the domain and range by considering what x and y values make the function not make sense in the xy plane you can't have a square root of a negative number, and a square root is defined as positive in this case x2-1 > 0 (it can't be = 0 in this case as it is the denominator)...

Re: Maths Competition notice how in her sig it says "accelerated"?

well according to what everyone else says, you keep whatever external mark you get, and your internal mark is equal to the external mark of whoever got the same rank in externals that you got in internals - which is what dux&src is saying

oh ok, fair enough. I'm personally not really a fan of outer-space related topics, largely because of the lack of relevance/practicality I see in it but I can see where you're coming from

oh, so by waste you don't mean that there was little point in having done it - just that it isn't helping your UAI.. or something btw, why do you want to do the course? I thought you hated physics, and cosmology sounds like it would be very physics based

oh.. I forgot to state that the side lengths were 'x' and therefore area is 'x2'

Re: Maths Competition lol don't worry about the elements/sets bit I thought you did learn what nCr was in binomial theorem, because I see questions on here where you have to calculate the greatest coefficient of a particular expansions which requires you write nCr in terms of its mathematical...

and what if it was counted, but you could've gotten a better UAI if you had devoted the time to your other subjects, would it be a waste still? you're doing the course because you're interested in learning the material/want more of a challenge - not because it's going to give you a better UAI...

Re: Maths Competition but calculating nCr means that you're working out the number of combinations of r elements from set n (did I get the terms right?), so it might be a bit more clear if you did the combinations topic first. I'm sure it wouldn't make that much of a difference which order you...

you think having a distinction course not count towards your UAI would make it a 'waste'?

Re: Maths Competition doesn't the C in nCr mean combinations? I think it would make more sense to do combinations before binomial theorem

notice how that triangle allows you to calculate the exact value of cos72 (and therefore many other exact trig ratios)? I reckon that's pretty cool

I would have just said: there's 5!/2 ways of arranging the consonants. There are now 6 places where vowels can go, and 2 of those places will not be filled - so you have 6!/2*2 ways of doing this *5!/2 = 10800 I know the question was incorrect, but would my working be correct?

yeah. it wouldn't really make sense for it to not be constant

I don't really get what you're asking =/. You want to find dx^2/dt, and dx/dt is given, and dx^2/dx is always 2x

just from the basic rule that d(xn)/dx = nxn-1

dx/dt = 5/min dx^2/dx = 2x if x = 3 dx^2/dt = 30cm2/minute

Re: Maths Competition wow, how'd you manage to guess that? you could write that as (3x^2 - 8)(y^2 + 1) = 2000 then go through the factors of 2000 til you come across ones that are one more than a perfect square, then test.