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Pythagoras's theorem is used to calculate the lengths of the sides of right-angled triangles. The theorem can be used to find the length of the third side of a right-angled triangle, as l...

By completing the square, since this makes you see that the square will always be >= 0 and the other part allows you to calculate the minima or maxima depending on the sign in front of x². E...

Before we begin to approach this question, we first write down all the relevant formulae for this trigonometry question. We can see that we will need the double angle formulae (on account of the presence ...

Most important thing is to do the same thing to both sides of the equation. 5(y – 2) + 2(y – 3) = 19 Step 1. Multiply out the brackets:        5y - 10 + 2y - 6 = 19 Step 2. Collect like terms & Simpli...

Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

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