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How do I know whether to add or minus in Pythagoras's theorem?

Firstly it has to be a right angled trinagle. Even if it is an irregukar shape, draw a line in to make it a right angled triangle. When you have your right angled triangle remember it is ALWAYS + if it...

Answered by Nehemie M. • Maths tutor

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Solve: 3(x - 2) = 21

First you look at BIDMAS, which determines the order in which functions are completed, [Brackets, Indices, Division, Multiplication, Addition, Subtraction], which says we deal with the brackets first, ...

Answered by Mia V. • Maths tutor

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Expand and simplify (3x+2) (x-5)

We expand this term by term.

To make sure we expand every term, I use the beak method. To do this, draw 2 curves over the equation from the 3x to the

Answered by Dominic S. • Maths tutor

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What is 3!/5! written in standard form?

We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1.
This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out.
This leaves ...

Answered by David A. • Maths tutor

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There are three boxes and one has a prize inside. You are told to choose a box. One of the other boxes is then opened, showing that it is empty. You are given the option to switch your choice to the other remaining box. Should you switch? Why?

Let's think of the three boxes as A, B and C.
Say we choose box A.
There is a 1 in 3 chance that our box has the prize inside, and so a 2 in 3 chance that it does not.
When a box is o...

Answered by David A. • Maths tutor

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