exam Maths Puzzle Numerical Ability

A circle cuts the rectangular hyperbola xy=c^2 in four points.Prove that the product of the absiccae of the points is c^4

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I don't know if this is under the correct subject.

I have to graph a piecewise function.
f(x)=
{1/2x-5}, if x < -2
{5x+4}, if x is greater than or equal to -2 Find the equation that passes through these points: (100, 9440) and (400, 31040). (This is the equation for the Cost of a bookstore selling a certain textbook). Then, suppose th