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Pythagoras is a theory that works for right-angled triangles and allows us to work out the length of its sides.The theory is: x² = a² + b² (I will show this with a diagra...

Drawing a diagram will help to visualise the problem and realise it is based on Pythagoras's theorem: a^2 + b^2 = c^2. We have been given 'c' the hypotenuse (5 m) and one of the shorter sides (2.2 m), whi...

A regression line comes from the line of best fit, y=mx+c. Given your data, you can find the line. C is the point where it crosses the y axis, and m is the slope. Here, we know that the price of a book is...

To complete the square the first thing you must do is divide the coefficient (number in front) x by 2 to give (x+3)^2We must then expand out (x+3)^2 which can be done by writing it as (x+3)(x+3) then usin...

Quadratic equations contain the term x² and they can normally be written in the format of:ax² + bx + c = 0. You can solve these equations by using a technique called factorisation. F...