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Notice we have two different equations but that 'x' and 'y' take the same value in both equation a and equation b. In order how to work out what values they take we need to combine the two different equat...

This question test knowledge of the geometry of equilateral triangles and the students ability to solve linear equations.
First we note that an equilateral triangle has equal sides. Then we can write...

Recall that to solve a quadratic it needs to be in the form ax² + bx +c = 0, Subtract 2 from each side to get 2x²-x-6=0 therefore a=2 b=-1 and c=-6 Solve by considering factors c and...

First write down explicitly what the elements of A and B are.A={15,20,25}, B={15,17,19,21,23,25}.
Remember ∪ means OR. So A ∪ B is the set of items which are in either A OR B. This is {15,17,19,21,23...

First make a substitution so we can apply the power rule ∫xⁿ dx = (xⁿ⁺¹)/(n+1) + C more simply. Can see u=x+2 means (x+2)^1/2 -> u^1/2 and so will help us appl...