Search over 10,000 free study notes

The imperfect subjunctive in Spanish expresses what the present subjunctive would, but is used when talking about a situation in the past. In order to form it, firstly you would need to take the third per...

We all know the the square root of 2 is irrational. So, the answer should be no. But how do we prove it?Let's assume for contradiction that x²=2 and that x is rational. Then x can be expressed ...

Let's take a positive integer n.We can write it as a product of prime numbers:n=p₁p₂...p_r, where p₁, p₂, ..., p_r are prime factors of n.No...

Most students at GCSE are taught to use the structure of PEE (Point Evidence Explanation) in each of their paragraphs in order to construct their argument. However, A-level requirements differ, as exam...

Let's begin by reviewing a fairly simple (linear) equation:

(1) y = 2x + 3

(1) describes the relationship between two variables, <...