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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 = ...