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As this is a right angle triangle, we need to use Pythagoras's Theorem. This says that the length of the longest side of a right angle triangle (the hypotenuse) is equal to the sqaure root of the sum of the ...

Let log a be some number A and log b be some number B now the natural log of something is the equivalent of saying a=e^A and b = e^B So a*b = e^A * e^B which by rules of indices = e^(A+B) Therefore log(ab) =...

Factorise 2c 2 + 8c + 8. Use the following steps to factorise a quadratic: -Take out a common factor -Split into two brackets with the x term at the start of each bracket -Write out the factor pairs of the l...

Firstly, in order to solve this problem we would need to differentiate f(x) to get f'(x). To differentiate this we would use the quotient rule. The quotient rule is that: dy/dx = (V.dU/dx - U.dX/dx) / V^2 wh...

Complete Question: Mr. Brown and his 2 children are going to London by train. An adult ticket costs £24 and a child ticket costs £12. Mr. Brown has a family rail card which gives his 1/3 off adult tickets an...