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You are given that n is a positive integer. By expressing (x^2n)-1 as a product of factors, prove that (2^2n)-1 is divisible by 3.

X2n-1 = (xn+1)(xn-1) Therefore we can say 22n-1 = (2n+1)(2n-1) . As 2n is always even, a multiple of 3 is always either going t...

AL
Answered by Abraham L. Maths tutor
8777 Views

A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius

To find the centre and radius of the circle, you need to get the equation into the form (x - a)2+ (y - b)2= r2. You can do this by rearranging to bring the x and y parts t...

MB
Answered by Martha B. Maths tutor
7691 Views

The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.

Answering the question by acknowledging the student understands what the question is actually asking. The subject of the formula sits by itself on one side of the equation and doesn't app...

AR
Answered by Alice-Kate R. Maths tutor
10127 Views

X is inversely proportional to Y. When X=4, Y=9. If Y=6, what is the value of X?

There are a few steps to this question. Before we can work out our value of X we will have to figure out an equation that links X and Y.Now if X were proportional to Y, then as X got bigger so would Y.We ...

AW
Answered by Andrew W. Maths tutor
5649 Views

Hey I am having difficulties solving simultaneous equations? Please may you help me!

Yes of course.
I will start with an example. Try and solve these simultaneous equations I will talk you through the model answer below.
3x + y = -4 3x - 4y = 6
Notice both equations contai...

GW
Answered by Georgina W. Maths tutor
2682 Views

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