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Simultaneous equations have two unknowns, you need to find out one of the unkowns (eg. x) in terms of the other (e.g. y) in order to solve both unknowns. Using these two examples (x and y) we can construc...

9x - 6 = 5x + 10

9x - 6 - 5x = 5x + 10 - 5x

4x - 6 = 10

4x - 6 + 6 = 10 + 6

4x = 16 

x = 16/4 = 4

We can observe that120° represents the sum of two common angles: 30° and 90°. So we can rewrite sin(120°) as sin(30°+90°). Now we are going to use this trigonometric formula in order to calculate the sinu...

Take example (x+3)(x-4) We use FOIL - first, outer, inner, last  We multiply each part by the other part. First -> x times x = x² . Outer -> x times -4 = -4x (remember the minus infront o...

The question asks you to complete the square on the function f(x). First, we split the function:

f(x) = (x^2 + 5x) + 9

And recognise that we need the form (x^2 + 2k + k^2). Identifying 2k = ...