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When dividing by a fraction, it is actually a multiplication. All you need to do is flip the second fraction over. This is known as the reciprocal. In this example the fraction we want to flip is 7/12. Fl...

1/2n² + 1/2n + 1

This is a hard one and maybe closer to a maths challenge question. It is easier to explain in person.

First common difference is 1 then 2 then 3 ...

(x - 5) / (x² + 2x - 15) 

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do thi...

The equation of a two-dimensional non-vertical line can easily be determined if its gradient 'm' and a point on the line (x0, y0) is known, using the formula m = (y - y0) / (x - x0). The gradient of the t...