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To solve a pair of simultaneous equations you need to find the values of x and y which are the same for both equations. To do this you should eliminate one of the unknowns - in this instance it can easily...

Since we know that the line crosses the x axis, we can assume that the value of Y at this point is 0. So we must substitute y = 0 into the equation y = 2x + 40 = 2x + 4we now have to isolate x on its own ...

The important thing to remember when rearranging equations is whatever you do to one side must be balanced with the other.1) So in this case, the first thing we want to do is to leave the term with A in i...

The volume of a cylinder = (pi).r².hAs the diameter is given in the question, we need to halve it to get the radius --> r = (4x+2)/2 = 2x+1This means the volume of the cylinder = (pi).(2x...

We must choose something to multiply the numerator and denominator of the fraction by the same thing, and the best thing to choose is the difference of two squares (since (x^2-y)(x^2+y)=x^2-y^2 ).
S...