See for question 1 a) am i right in thinking that you re-arrange the equation as y=mx+c? but if i do this then it all goes a bit wonky! So how do u find the value of 'a'??

and for qustion b) would you just use M=tan

tan 30

and so on.........??

Also how on earth do u do question 5 in this paper please??!?

Help is much appreciated !!

Ta !

## 2004 - Paper 2 - Question 1 and 5

### Shaun

Posted 14 April 2005 - 05:29 PM

Ok, for 1a,

You have the equation x-2y = 0.

Rewrite this as y = -x/-2

Which is y = x / 2

Pick a value - i.e. when x = 1, and this gives you y is a half. This allows you to draw a triangle and use Tan a = opposite/adjacent.

For b) all you do is add 30 degrees to what you worked out as 'a' and take the tan of it.

For 5, you take the derivative and let it equal 12.

So you have 12x - 3x

Bring everything to one side and you get:

-3x

Multiply by minus 1 to get rid of the -3x

You get:

3x

Take out common factor of 3.

3(x

Factorise:

3(x - 2)(x - 2)

Value of x = 2

You have the equation x-2y = 0.

Rewrite this as y = -x/-2

Which is y = x / 2

Pick a value - i.e. when x = 1, and this gives you y is a half. This allows you to draw a triangle and use Tan a = opposite/adjacent.

For b) all you do is add 30 degrees to what you worked out as 'a' and take the tan of it.

For 5, you take the derivative and let it equal 12.

So you have 12x - 3x

^{2}= 12Bring everything to one side and you get:

-3x

^{2}+ 12x - 12 = 0Multiply by minus 1 to get rid of the -3x

^{2}You get:

3x

^{2}- 12x + 12 = 0Take out common factor of 3.

3(x

^{2}- 4x + 4) = 0Factorise:

3(x - 2)(x - 2)

Value of x = 2

### Shaun

Posted 14 April 2005 - 05:46 PM

Ok, I'll try to clarify. You have an equation of a line. You can pick any x coordinate and and stick it in your equation and get an answer for y.

For example, say you choose x = 1. You stick it in and you get y = 0.5

This tells you that you have a line from the origin, 1 along and 0.5 up.

It's a triangle.

[attachmentid=62]

For example, say you choose x = 1. You stick it in and you get y = 0.5

This tells you that you have a line from the origin, 1 along and 0.5 up.

It's a triangle.

[attachmentid=62]

### werlop

Posted 14 April 2005 - 08:28 PM

If you need any more help with the 2004 paper I put some answers together last year before the official marking schemes came out.

http://www.bearsdenacademy.org/index.php?t...news&newsid=173

I've not put working for the easier questions, but there is working for the some of the slightly harder questions.

For 1 a) you don't actually have to even draw the triangle, just work out m to be 0.5 and use the formula m = Tan (THETA)

http://www.bearsdenacademy.org/index.php?t...news&newsid=173

I've not put working for the easier questions, but there is working for the some of the slightly harder questions.

For 1 a) you don't actually have to even draw the triangle, just work out m to be 0.5 and use the formula m = Tan (THETA)