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Factorise fully the following: 12x^3 + 3x^2 + 15x

To factorise an equation entirely it is necessary to think of the commonality between all terms. In this case, not only 'x' is common in all the parts of the equation, but also '3'. Knowing this information ...
HB
Answered by Helena B. • Maths tutor
4970 Views

A metal Sphere of radius Ym is melted down and remade into a cylinder of the same volume with height Ym with circular ends of radius 3m, find Y

The sphere has radius Y, so the volume of the sphere is 4/3 (pi) Y 3 , The volume is the same for the cyclinder so we know the volume of the cylinder in terms of Y. Cyclinder volume = area of circle face x h...
JC
Answered by James C. • Maths tutor
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What is Pythagoras's theorem?

Pythagoras's theorem is used to calculate the lengths of the sides of right-angled triangles. The theorem can be used to find the length of the third side of a right-angled triangle, as long as the lengths o...
SJ
Answered by Samuel J. • Maths tutor
4441 Views

How do you find the maximum and minimum value of a quadratic function with no use of calculus?

By completing the square, since this makes you see that the square will always be >= 0 and the other part allows you to calculate the minima or maxima depending on the sign in front of x 2 . E.g. x 2 +4x=...
AO
Answered by Alexander O. • Maths tutor
10615 Views

How did Hitler change the Nazi party between 1924-1929? (8 marks)

This is a change/development question, and because it is 8 marks you should spend 12 minutes on it. Aim for 3 distinct points in 3 separate paragraphs. In order to get the full 8 marks, you must link each pa...
EG
Answered by Elly G. • History tutor
9215 Views