Search over 10,000 free study notes

6a + 3b = 7 (1) 4a + 4b = 12 (2) We need to eliminate one of the variables in our simultaneous equations in order to be able to find a numerical value. As the same signs are used in both equations (i.e. a...

2y=11-3x    and 2y=2x-14

11-3x=2x-14

25=5x   thus x=5

3(5) +2y=11

2y=-4    thus y=-2

Expansion of the given expression will result in x to the 3rd power, as there are 3 parts involving x, multiplied together. Let's ignore -5x for a second, and multiply the two expressions in brackets (usi...

Take the number that is in the root sign, and change it to 2 numbers multiplied together (we want one of these numbers to be a square number). A square number is 1, 4, 9, 16 etc. Then separate this into t...

this formula is used in triangles to define either a cosine or the side of the triangle opposite of the cosine's angle

c²=a²+b²-2abcosc

cosc= the cosine of t...