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This is a past exam question from a real GCSE paper, and is an example of "completing the square." I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the...

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Imp...

Two lines are perpendicular if the product of their slopes is equal to -1. m1 x m2 = -1

The slope of the given line is equal to 1 / 5. If m is the slope of the line perpendicular to the given line,...

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations ...

To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, ...