book Maths Puzzle Numerical Ability

k^2+7k+12 k^2+9k+14
_________*________

k^2+7k+10 k^2+13k+40

K^2 is k to the second power
and _____ the line that divides them

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Okay this is a function of a right triangle where side a is equal to 16 and its corresponding angle is 45 degrees side b and the hypoteneous are unknown. Is there a way to solve for the two missing sides? Could you show me an algebraic inequation in it's simplest form for the following:

I can purchase 250g of mild cheese for $3.00 or 250g of mature cheese for $3.50. What possible