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First, you need to relax and stay calm which might seem difficult in an exam situation but remember when the author this piece it is unlikely they wrote it for student sitting in an exam hall. Then simply...

Remember that the equation of a line is y=mx+c and m is the gradient of the line. The gradient of a perpendicular line will be the negative reciprocal of m ( that just means it will be -1/m). You can then...

That's right, German has three words for English 'it'! But don't worry, there's a rule which lets you pick the right one! German nouns have grammatical gender and can be masculine (der), feminine (die), o...

Konjunktiv I is used to indicate reported speech (when you are telling someone what somebody else has said).
However, Konjunktiv I is seen as very formal, and so it is rarely used in spoken German. Y...

First, let's assume that sqrt(2) is rational. That is, it can be expressed in the form a/b, where a and b are integers and the fraction is simplified as far as possible.
So we have sqrt(2) ...