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We know that the perimeter of the triangle is 20cm and we also know the value of two of the sides of the triangle, AB=7cm and BC=4cm. We can work out the length of the third side (AC) by subtracting the k...

We know that x:y is 7:4, and therefore x is seven-elevenths of the total value of x and y. Therefore we can express x = 7/11 (x+y). Since we also know that the total of x+y is 88, we can substitute this i...

The question is asking us to factorise, this means put the equation into a simplified bracket. The first step is to find the highest common factor (HCF), the HCF must be a factor of 21x² as wel...

First we need to look at the quadratic formulas separately and factorise them. (x^2-5x+4) the sum is -5 and the product is 4, we need to find numbers that add to get -5 and multiply to get 4, which is -4,...

When multiplying fractions you multiply the numerators together to get the resulting numerator, and multiply the denominators to get the denominator. In this case you would have (2/15 x 15/22) when writte...