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(6x + 4)/(2x - 2) + 6 = 8 (subtract 6 from both sides) (6x + 4)/(2x - 2) = 2 (multiply both sides by (2x - 2)) 6x + 4 = 2(2x - 2) 6x + 4 = 4x - 4 (add 4 to both sides) 6x + 8 = 4x (subtract 4x from both s...

Radians are used a lot in A level maths because at higher levels, they allow for simplification of trigonometric functions. For example, when using radians, it can be said that:

Sin(angle) ≈ angle ...

1st step: we multiply the equation by (4-y) and we get: x(4-y)=(2y-1) 2nd step: we bring the equation to the form: 4x-xy=2y-1 3rd step: now we isolate all the y terms on the same side: 2y+xy=4x+1 4th step...

S=D/T Max= 455(upper bound)/61.5(lower bound)= 910/123 m/s Min= 445(lower bound)/62.5 (upper bound) = 178/25 m/s Max - Min= 856/3075 m/s

First the number of children that travel by train can be found by dividing 45 by 9 to give 5. Since we know that double as many take the bus, as 2/9 is the double of 1/9,5x2=10 children take the bus. Then...