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Expand the brackets out first6x-3y=ax-4Now, get all the x's on one side6x-ax=3y-4and now factorise the side with the x's as we want to isolate xx(6-a)=3y-4and now divide both sides by (6-a)x=(3y-4)/(6-a)<...

x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150.
A harder question coul...

As we are told it is a right angled triangle we known that we can use Pythagoras's formula of c² = a²+b² given that we have been given lengths of 3 and 4 we simply substit...

x² - 4x -12 is a quadratic equation with a general formula. It can be factorised by into brackets and solved.By looking at the equation, the last term is negative so one number in the factorise...

As the triangle in the question is a right angled triangle we can use Pythagoras Theorem , a²+b²=c². c is the size of the longest size which is what we are looking for an...