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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

So, working out the different side lengths of the triangle is going to help find the area at the end. We split the ratio up into 3s and show them as a proportion of the whole perimeter. For example, one side...
RG
Answered by Roberto G. • Maths tutor
9882 Views

The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0

C: 16y 3 + 9x 2 y -54x = 0 d/dx(16y 3 ) + d/dx(9x 2 y) + d/dx(-54x) = d/dx(0).............=>48y 2 .dy/dx + 9x 2 .dy/dx + y.18x - 54 = 0 dy/dx(48y 2 +9x 2 ) = 54 - 18xy........................................
EP
Answered by Elliot P. • Maths tutor
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How do you factorise a quadratic equation?

You should already be familiar with multiplying out brackets to arrive at a quadratic equation, which will look something like the following: (x + 2)(x + 3) = x 2 + 2x + 3x + 6 = x 2 + 5x + 6 Factorising is ...
EM
Answered by Eleanor M. • Maths tutor
3518 Views

How do you find the original price of a sale item when a percentage decrease has been applied?

Let's use an example, for instance, a pair a trainers in the sale are advertised as having 25% off, and are now a price of £24. How would you find the original price of the trainers before the sale?Firstly, ...
EG
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For what values of x is 2x^2 - 11x - 6 > 0 ?

The first step is to factorise the equation into two brackets. In this case we get (2x+1)(x-6)Now, for this to be greater than zero we need both brackets to be greater than zero, or both brackets to be less ...
RK
Answered by Rowan K. • Maths tutor
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