exam Maths Puzzle Numerical Ability

How exactly do you know the differences between the different conics such as ellipse, circle, parabola, and hyperbola? How do you solve them in order to graph?

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a rectangular vegetable garden has a perimeter of 64 feet. The length of the garden is 20 feet. What is the width of the garden?
Hello, I need to simplify the following expression: square root of 20 divided by square root of 15. Thanks!