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Plot the graphs y=x^2+3 and y=2-4x. The solution(s) are the point(s) of intersection. The graphs can be plotted by making a table of values; this is the best method for the quadratic curve. The straight l...

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...

perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

If we first factorise the top and the bottom of the equation we can see that the top is equal to (x+6)(x+3) and the bottom is (x-3)(x+3). This means we can divide the top and bottom by (x+3) giving us a r...