exam Maths Puzzle Numerical Ability

Determine the vertex of y=xsquared-8x+22.

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exam Other Question

Diameter AB of circle o is 21 inches. Line AB is extended through B to a point C and tangent CD is drawn, meeting the circle at D. CD is 6 inches longer than BC.

a) Let x represent BC. Express CD and CA in terms of x.

B) Find BC For which m is the solution of the following sistem

0 < x^2-5x+6 and mx-4 < (2xm-5(x-m))/2

is x<2?

thanks a lot!!!