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To solve this, we need to factorise the expression (write as a product of two brackets). To do this we want to find to numbers that multiply to make +6 and add up to -5, for this case. These numb...

We know that the question is asking us to take the number 36 to the power of 0.5. By assumption 0.5 can be written as 1/2. To take 36 to the power of a 1/2 we take it to the root of the denominator and th...

This question is most simply solved with a probability tree diagram, where you just follow the paths of picking two same coloured beads. The first branch would be picking two red beads. P(R1) = 5 / 12, an...

The equation of a circle is given in the form (x-a)² + (y-b)² = r², in which the centre of the circle is (a,b) and the radius of the circle is 'r'. If you can figure out o...

Graphically, the solution of a pair of simultaneous equations is the point of intersection between both curves. If we want only one solution to the system of equations, then there should only be one point...