exam Maths Puzzle Numerical Ability

Assume that the bounce height B (in inches) of a tennis ball varies directly as the drop height d (in inches). The bounce height of the tennis ball is 20 inches when dropped from

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Question:
Take a Rectangle ABCD.
Find out the mid points of all sides denotes it P,Q,R,S and joint it, we have a figure on PQRS.
To prove that PQRS is a Rhombus. studing for my finals....need help!!!

write as a single logarithm:

2 log 2 - 3 log x - 1/2 [log(x+3) + log (x-2)]

THIS IS THE HARDEST ONE YET!!!!PLEASE HELP......AND THANK