Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions. Parabola, directrix y = -3


Mathematics

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Determine whether the statement is true or false.The greatest common factor of a group of natural numbers is the largest natural number that is a factor of all the numbers in a group.

A. True B. False

Mathematics

Find the volume specified. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.Find the volume of a barber's pole having the shape of a right circular cylinder of radius 4 in. and height 31 in. topped by a sphere of the same radius.

A. 535.9 in.3 B. 1557.4 in.3 C. 3114.8 in.3 D. 1825.3 in.3

Mathematics

Simplify the rational expression. If the rational expression cannot be simplified, so state.

A. -y + 8 B. y + 8 C. -y - 8 D. y - 8

Mathematics

Use the commutative and associative properties to simplify the expression.(-12y)

A. 8y B. -20y C. 20y D. 15y

Mathematics