exam Maths Puzzle Numerical Ability

i dont understand on how to do these kinds of problems. I have tried doing it and using the examples but i just cant seem to get it..
can you please help me thank you -Krista

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exam Other Question

If 9y^2+kyz+16z^2 is a perfect square find a value of k Could someone help, Locate the vertices of the following hyperbola:

(x-5)^2/81 - (y-7)^2/49 =1