exam Maths Puzzle Numerical Ability

having trouble solving:

a=1/2(B+b)h for b and also

2k+ar=r-3y

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exam Other Question

please explain this question:- To prove:-
cot(x)/1+tan(x)= cot-1/2-sec^2(x)
Identify the vertex, axis of symmetry, and direction of opening for:

y=1/2(x-8)^2+2.

Thank you