(15 points) identify an equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0).

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?

Write the equation in logarithmic form 8^x=64

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min