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Maths
GCSE

A is the point with coordinates (1, 3) B is the point with coordinates (–2, –1) The line L has equation 3y = 4 – 2x Is line L parallel to AB?

No it is not parallel, here is the reasoning.

First we work out the gradient of the line AB. We do this by using the gradient formula (Y2-Y1)/(X2-X1). Our points are A=(1,3) rewritten as (X1,Y1) an...

Answered by Emily L. Maths tutor
11859 Views

Show that (4+√12)(5-√3)= 14+6√3

First, expand out the brackets. Initially, this will give you 20 - 4√3 + 5√12 - √36.

√36 is the equivalent of 6, now giving up 20 - 4√3 + 5√12 - 6. We can combine the 20 and the 6 to give us 14 - 4...

Answered by Lucy H. Maths tutor
8890 Views

Factorise x²+5x+6.

You need to find two numbers that multiply to make 6 and add to make 5. Usually it's easier to find a correct multiplication and check that it satisfies the addition.
Here the options are 6&1 or...

Answered by Elliot D. Maths tutor
10518 Views

Solve 13-x > 3+4x

13-x-3>4x
10>4x+x
10>5x
2>x
x<2

Answered by Nathan E. Maths tutor
4668 Views

Solve the following set of simultaneous equations: 3x + 2y = 15 & 9x + 4y = 1

  1. Label your equations 1 and 2.
  2. Look to eliminate one of your variables to create a third equation with only one variable.
  3. To do this multiply the first equation by 2 to obtain: 6x +...
Answered by Chris A. Maths tutor
5836 Views

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