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1. the x squared is counted as A, the 6x is counted as B and -10 is C2) you halve the B term so in this case it would be 3x from the 6x and write it with an x in a bracket squared e.g. (x+3)^23) then y...

The first step of solving simultaneous equations with two unknown variables (m & n in this case) is to rearrange one of the equations so that we get one variable in terms of the other. Lets take the f...

When solving an angle for a right-angled triangle you need to use the acronym SOH CAH TOA, using the functions sin(x), cos(x) and tan(x). The other letters O, H and A represent the side of the triangle, s...

First, for this graph dy/dx = 2x-8. At a turning point of any graph, dy/dx=0. Therefore 2x-8=0. x=4. Plug x value back into original graph formula : (4)^2 - 8(4) + 25 = 9. Therefore y=9. Coordinates : (4,...

This is an example of completing the square. Completing the square means taking a usual quadratic equation ax²+bx+c=0 and writing it as a(x+d)²+e=0, where we must find the numbers d ...