exam Maths Puzzle Numerical Ability

The number of toothpicks needed to make the nth figure is 3+3n. Show that this conjecture is false by finding a counterexample.

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I need help solving this problem.

Given the standard form for a conic section.

ax^2+by^2+cxy+dx+ey+f=0 and the values a=-5 b=0 c=0 d=16 e=-4 f=-12
Rewrite the equation in s The plowed are of a field is a rectangle 80 feet by 120 feet. The owner plans to plow an extra strip of uniform width on each four sides of the field, in order to double the plowed area. How many feet should he ass to each dimension?