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Here you have 2 equations and you need to find the value of x and of y. First we are going to find the value of x. We do this by eliminating the y factor by multiplying and adding the equations. If we mul...

Rearrange the equation to give sin3θ=(sqrt3)cos3θ, then divide through by cos3θ to give sin3θ/cos3θ=sqrt3. We know from our trig identities that sinx/cosx=tanx, so our equation now becomes tan3θ=sqrt3. Us...

To start off with let 2/P(P-2)=A/P + B/(P-2) making the RHS of the equation one fraction gives : (A(P-2)+B(P))/P(P-2). So now we can compare the numerators (as the denominators are the same): A(P-2)+B(P)=...

We can express sqrt(20) as sqrt (4 x 5). This is equivalent to sqrt(4) x sqrt(5). We know that sqrt(4) = 2. This sqrt(20) can be written as 2sqrt(5).

The 'm' value should be used to provide a gradient to the graph (i.e. for every 1 unit the graph moves along the x axis, its y movement will be altered by multiplying 1 by 'm'). Therefore, the higher t...