The screen in a theatre is 22 ft high and is positioned 10 ft above the floor, which is flat. the first row of seats is 7 ft from the screen and the rows are 3 ft apart. you decide to sit in the row where you get the maximum view, that is, where the angle theta subtended by the screen at your eyes is a maximum. suppose your eyes are 4 ft above the floor, and you sit at a distance x from the screen. a) show that theta = arctan(28/x) - arctan(6/x) b) use the subtraction formula for tangent to show that theta = arctan(22x/(x^2) + 168)

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4? a.)y-3 = 1/16 (x-2)^2 b.)y+3 = -1/16 (x+2)^2 c.)x-2 = 1/16 (y-3)^2

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.

Quadrilateral abcd is translated up and to the right, and then rotated about point q. which congruency statement is correct?