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First we find the y coordinate which is a function of x:

x = 2+ h so  y = (2 - 2 - h)(1 + 2 + h) + 3 = -h² - 3h + 3

Now for the gradient, the line passes through points (2,3) and ...

The cause's of the English Civil war can be divided into three broad categories, the most important of these being religious division. Politically the fear of Absolutism, caused by Charles stringent refor...

Mens rea and actus reus are two elements of a crime, as it would be explained in court. An academic, Wilson, described mens rea as a "mental attitude" - the psychological element of a crime - e....

4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, ...

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ...