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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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What are some criticisms of Augustine's Soul-Deciding Theodicy?

Peter Vardy claims that there is no way to justify dysteleology or excess suffering. Evil seems to be more definite than a mere ‘privation of good’ for example Child cruelty is not just the lack of Child...

Answered by • Philosophy and Ethics tutor

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What are the differences between the psychological approaches and how to compare them?

The approaches differ in terms of views, how they were developed and how they are applied in modern psychology whether it be studies or treating patients. Since the actual content is typically easier to g...

Answered by • Psychology tutor

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Solve the systems of equations x+8y=2 2y-x=18

We pick one of the equations and isolate the y on one side.
x+8y = 22y=18+x
We express the equation 2 in terms of y, dividing it by 2.
x+8y = 2y = (18+x)/2
which is the same than

Answered by Victoire L. • French tutor

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To what extent was the 'Abbasid Revolution of 747 a Shi'ite movement?

The 'Abbasid revolution can be most strongly argued to have been a proto-Shi'a revolution wherein notions of the primacy of the family of prophet were emerging against the backdrop of civil unrest and dis...

Answered by • History tutor

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