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Maths
GCSE

Work out the points of intersection of the graphs of y= (x+2)(x-4) and y=3x+6.

3x+6=(x+2)(x-4)

3x+6 = x2-2x-8

x2-5x-14=0

(x-7)(x+2)=0

x=7 so y=27

and x=-2 so y=0

Answered by Edward L. Maths tutor
4363 Views

Use the Intermidiate Value Theorem to prove that there is a positive number c such that c^2 = 2.

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infin...

Answered by Dilyana K. Maths tutor
7889 Views

How do I plot a line on a graph, given the equation y=2x+1 ?

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line.

In this c...

Answered by Hannah P. Maths tutor
4962 Views

How do you multiply out brackets

This is simple as long as you remember FOIL:
First

Outside

Inside

Last

So, for example, let's multiply out (2x+1)(4x-3)

Multi...

Answered by Harry M. Maths tutor
13112 Views

Finding out the length of one side of a triangle

The way to find the length of one side of a triangle can be to use SOHCAHTOA, an abbreviation learnt to help rememeber the process. SOH stands for sin = opposite / hypotenuse , CAH stands for cos = adj...

Answered by Anesha A. Maths tutor
5053 Views

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