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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...

So how I would start to solve this problem is by using a method called the claw method (because it looks like a claw).So in order to expand the brackets, we need to multiply each term in the first bracket...

1. Multiply every term by a denominator to eliminate it;5 + 3(x+2)/(x-3) = 2(x+2)5 + 3x+6/(x-3) = 2x+45(x-3) + 3x+6= (2x+4)(x-3)2) simplify5x-15+3x+6=2x²-12+4x-6x8x-9=2x²-12-2x2x<...