exam Maths Puzzle Numerical Ability

Prove that:|z|=0 iff z=0.

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exam Other Question

Using the given equations of parabolas, find the focus, the directrix and the equation of the axis of symmetry.

y=1/20 x^2 A guide dog training center took 1/2 of the puppies at the dog pound. Steve took 1/2 of the remaining. Tanya took the 5 that were left. How many puppies were there to begin with? Thanks for helping me!