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Its okay to not know which theorem to use immediately when you look at a question. The best way to go about it if you are struggling is to recall all the ones that you do remember and deduce any angle even i...

First we need to factorise this quadratic. This will be in the form: 0 = (Ax + B)(Cx + D) You can work this out the values of A, B, C and D by looking at the coefficients in the unfactorised form. For exampl...

6²= 36 8²=6436+64=100√ 100 =10Therefore, 100=∛(125a³)∛(125a³) =∛125 X ∛a³=5 X a =5aSo, 10=5aa=2

x^2-6x+9(x-3)(x-3) repeated roots, therefore turning point at x =3, y=0 when x=0, y=9 therefore y intercept = (0,9)

We are looking for a sum of numbers- this means that both numbers have to be less than 30. Start by writing down all prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Do you see any two numbers...