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When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).-------------------------...

So, Pythgoras Theorem mostly deals with right-angled triangles, ie a triangle with one 90 degree angle. The slanted side is called the hypotenuse and let us denote it as c the bottom is called the adjacent, ...

First, imagine that f(x) is written as y: y = (3x -6)/2 swap the variables over so you write y as x and x as y: x = (3y - 6)/2 Next, solve for x (try and get the y on its own on the right hand side) 2x = 3y ...

A curve has parametric equations: x = 2 + t 2 y = 4t Find the cartesian equation of this curve. A cartesian equation of a curve is simply finding the single equation of this curve in a standard form where xs...

To start make the equation equal y. So y = 7x+4 Then rearrange the equation to make x the subject. Subtract 4 from both sides: y-4 = 7x Divide by 7: (y-4)/7 = x Now write it in terms of x f(x)^-1 = (x-4)/7 w...