Afigure is located at (2, 0), (2, −2), (6, −2), and (6, 0) on a coordinate plane. what kind of 3-d shape would be created if the figure was rotated around the x-axis? provide an explanation and proof of your answer to receive full credit. include the dimensions of the 3-d shape in your explanation.

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !