Use the given sets below to find the new set. Write the simplest version of the resulting set. For example ( − ∞ , 5 ] ∪ ( − 2 , 6 ) (-∞,5]∪(-2,6) should be written as ( − ∞ , 6 ) (-∞,6) . Be sure to record your answer using interval notation. If the intersection is empty, type DNE as the answer. A = [ − 4 , 10 ) A=[-4,10) and B = ( − 9 , − 1 ] B=(-9,-1] A ∪ B =

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?