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Because the value, x and its inverse, -1/x should multiply together to give -1. This is proof that two lines are perpendicular (or having the same magnitude of gradient but opposite signs +/- ).

Area of square : Base x Height.

Area of Circle: π x (Radius)².

Looking at the diagram we are given the dimensions of the base or he...

Grouping is essentially factorisation, it's just the idea that ax + bx = (a+b)x, which we already know. But the difficulty is in recognising this relationship when x is more complicated, for example when ...

(3x-6)(2x-1)

Multiply out the brackets:

3a+12=ac+5f

3a-ac=5f-12

a(3-c)=5f-12

a=5f-12/3-c