Search over 10,000 free study notes

Circle equation = (x - a)² + (y - b)² = r²Where Centre coordinates (a, b) and radius 'r'Therefore x² + y² + 8x - 12y = 12 is to be rewritten in this ...

Rewrite (x − 4)(2x + 3y)² as (x - 4)(2x + 3y)(2x + 3y)
Multiply out the first two brackets to give -(2x² + 3xy - 8x² - 12y)(2x + 3y)
Multiply o...

Label equations: (a) 3x+4y=18(b) 4x+2y=14We need to be able to cancel out either the x's or the y's. The simplest choice is to double (b) so that we can cancel out the y's.2 x (b) : 8x+4y=28 (Give this a ...

First we need to rearrange both equations into the form ax + by = c (where a, b and c are the integers). We can label these 1. and 2.We then have:3x + 2y = 12 1.7x -10y = -16 2.In order to find the x valu...

To solve:Rewrite the top part of the fraction to get it in terms of 3^(1/2)Rationalise the denominatorSimplify
The final answer is 2(3^(1/2)) - 2