Search over 10,000 free study notes

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we ...

Change the inequality to an equalsx² -2=2solve as normalx² -2=2-2x² -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller tha...

The equation for the volume of a cylinder is (1/2)pi(r²)*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2)pi(...

There are 2 methods in solving this set of equations, in order to find the 2 unknowns: (a) and (b). Method 1: Firstly rearrange equation 1 to make (b) the subject: b = 16 - 6a. This can then be substitute...

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one eq...