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First you need to remove the coefficient on the x^2. We do this by factorising the 2x^2 + 20x and placing the 2 from the x^2 outside a set of brackets. This looks like:2(x²+10x) +15 = 0Then we ...

To solve a simultaneous equation you should number your equations and re arrange one of them to make y the subject. (You could do it the other way and find the expression for x first)3x + y = 11 [1] and 2...

Firstly, we need to identify what this question is asking us to do. Looking at the equation we can see that we have one unknown value, which is x. It is therefore the value of x which we are being asked t...

First work out the area of the triangular face using the formula 1/2 A B sin c:1/2 x 1.4 x 1.4 sin(34) = 0.548m²
recall volume of a regular prism = area of face x length
hence V = 0.5...

This question requires us to know how to multiply out the brackets and collect like terms together. It is worth 3 marks in total. First, we draw a smiley face on the brackets in the question: link the x a...