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Pythagoras theorem which applies to right angled triangles is summarised by the following formula: c²= a² + b² where 'c' is the hypotenuse of the triangle, whilst 'a' and...

It's a probability equation. The probability of getting an orange sweet the first time is 6/n. The probability of getting an orange sweet the second time is 5/n-1Times those together to get the probabilit...

First notice x is currently written as a power of 2 and 3x + 1 is written as a power of e, so we are going to need to use some sort of log to start getting x on its own. You can take a clue from the quest...

We know -x^2 has a maximum point of 0 at x=0, and -x^2 dominates the behaviour of f. We complete the square on this eqn, so we have f(x) = -(x - 4)^2 + 16 + c. We note that g(x) = -(x - 4)^2 has a maximum...

First you as both equations are = to y you can make them equal to eachother. 4x² +5x +3 = x+ 2.Then you rearrange the equation to gather all the terms on one side and make the equati...