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Perpendicular distance, IS the shortest distance. Line perpendicular to y = 2x - e has the gradient -1/2. It goes through (0,0) therefore has the equation y =-x/2 These two lines cross at -x/2 = 2x-e -x = 4x - 2e x = 2e/5 y = -e/5 distance = sqrt((-e/5)2 + (2e/5)2)

I'll do my best since no one else has, yet. Media Excesses: Think about how the real media does go overboard with their "Expose" type thing: the dramatic language, emotiveness, chasing offenders through the street, beating up the story so it is bigger than it should be, using their own left or...

Group tutor. Study in groups and share what you understand. Everyone will have something to consttribute - some more than others, but that is OK. I tutored most of the second maths class through to the HSC and ###years later, was thanked by one of them, stating that if it weren't for me, she...

Download a copy of the syllabus from the Board of Studies and write your notes based on the points in that. If you find that you can answer all the syllabus points, then you doing fine. If not, then you will need to buy yourself ne of the books people suggest and fill in the gaps yourself...

1. Are you enjoying General maths? 2. Can you achieve in General maths? 3. If you did 2U Maths, would you do any better? 4. Do you have enough maths to accomplish the maths in the course you want to do after school? 5. Are you being realistic about the course you want to do and the marks you...

It really does depend on how you operate. Some people need that strict schedule so they can: 1. Allow themselves to have a break AND 2. Not overwork, OR 3. Not spend too much time having a break AND 4. Make sure they spend enough time working. Some can work as they go and keep the schedule in...

NO! Don't do 6 hours a night, you'll burn yourself out. Do your homework, as required. Do it in short bursts. If you then still have time left in your night's study schedule, do some study for 1 subject. Multiple subject study will not be effective and you'll forget stuff. An idea might...

Hi Aspirational, Firstly, please get out of your head that you "need to be topping classes". You don't. You need to be enjoying what you are doing and focussing on the end result will not allow you to enjoy the process. Now, you need to look at these first few tests not as a set back, rather...

The best way to memorise things, in my opinion, is to actually understand fully exactly what it is that you are doing, rather than just memorise. There are other sorts of memorising techniques, though, that play off your learning style. You need to know what your learning style is, first...

It's an isosceles triangle. It does have infinite answers UNLESS you know one angle.

Draw a picture, add all forces and then treat each section of the problem as a separate identity. Mass 1 Mass 2 | 3kg |--->----<---| 4kg |------------> Fnet = 14N T1= T2 Friction = 0N Look at Mass 2 - because Mass is only a factor in vertical...

Firstly, consider a generator. Movement is provided to the coil that turns in a magnetic field. This movement, produces a current in the coil. Now we must remember Lenz's Law that says anything produced will be in such a direction as to oppose the change that caused it. (In accordance with...

I know what you mean about analysing poetry. I couldn't see the sense of it and since I don't tend to find joy in reading poetry, I still don't enjoy it. BUT, now that I am writing novels I can appreciate the deeper levels of meaning that can be hidden in words because I'm putting them there...

Take the Left hand side of the equation and make x = to your possible answers. Eg let x = -1/2 LHS = |x^2 + 3x| = |(-1/2)^2 + 3 x -1/2| = |1/4-3/2| = |-5/4| = 5/4 = 1 1/4 Then so the same with the Right Hand Side. RHS = x^2 + 6x +4 = (-1/2)^2 + 6 x -1/2 + 4 = 1/4 - 3 + 4 = 1 1/4 = RHS If...

Common sense, learning to use your initiative and being a well rounded person are the best preparations for UMAT. Books and learning don't get you there. Can I suggest Scouting or some other similar life training organisation?

The only thing you should be memorising are: - Quotes - Concepts - Mnemonics of outlines Never memorise one essay or just prepare for just one question. If you do and they do what they did in last year's HSC in one subject and throw in an unseen, unexpected essay question, you are completely...

Unfortunately, those that can teach or know their stuff don't get paid enough to hang around and deal with the nonsense that goes on the staffroom (ie me). Or are kicked out and replaced with retrainees who have no idea because those that do know the DET won't officially recognise! (Yes, it...

If you are understanding the work and can do the questions, there is no need to bash yourself over the head with lots of busy work. Understand the concepts well and you won't need to do a lot of work. Also, you may want to just check that you are progressing through the syllabus at a rate...

Hi Everyone, Can I just make a couple of suggestions when it comes to extra-curricula activities. 1. Don't give up sporting or utdoor extra-curricula activities as you approach the HSC. You need that physical outlet to get out your frustations and clear your mind so you can settle down to...

Can I suggest "Show Don't Tell" - the usual. eg Crusts of dry leaves withered under the blazing sun. A humid breeze swept across the vast Savannah waking Zira. He considered the coming of age ceremony only a few weeks away and gave a lazy yawn. So he was nearly five but so unlike the other...