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Examine the image (François Rude, La Marseillaise, 1833-6) and analyse how it depicts movement

La Marseillaise by François Rude depicts a winged figure of victory above a group of soldiers. Rude intended to represent a moment from the French Revolution, and had to choose one moment to convey the ma...

RW
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explain tensions between human rights and state sovereignty

human rights refer to a set of entitlements granted to all humans purely for the sake fo being human and for this reason they are absolute and universal. Fusch a notion has clashed strongly with state sov...

AS
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How do you rationalize the denominator of a fraction?

Questions which ask for you to rationalize the denominator usually includes an integer and a square root of a number (x+sqrt(y)).We can use the following formula to our advantage: (a+b)(a-b)=a^2-b^2. ...

Answered by Maths tutor
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Prove that 8 times any triangle number is always 1 less than a square number

A triangle number is a number such that it is the sum of n consecutive integers, starting from 0. Eg 1, 1+2, 1+2+3... are the first 3 triangle numbers. The formula for the nth triangle number is well-know...

Answered by Maths tutor
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Co-ordinate Geometry A-level: The equation of a circle is x^2+y^2+6x-2y-10=0, find the centre and radius of the circle, the co-ordinates of point(s) where y=2x-3 meets the circle and hence state what we can deduce about the relationship between them.

We have that x2 + y2 + 6x - 2y - 10 = (x+3)2 + (y-1)2 - 20 = 0 (step was motivated by the equation of a general circle (x-a)2 + (y-b)2 = ...

Answered by Maths tutor
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