Two parallel lines are graphed on a coordinate plane as shown. The lines are rotated about the origin. The graph of the image of the lines after the rotation is also shown. Which conclusion is supported by the image of the liens? A. When parallel lines are rotated, the images of the lines are always parallel. B. When parallel liens are rotated, the images of the lines are always perpendicular. C. When parallel lines are rotated, the images of the lines always have the same as the original lines. D. When parallel lines are rotated, the images of the lines always have the same - y- intercept as the original liens.

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Of jk j(–25, 10) k(5, –20). is y- of l, jk a 7: 3 ? a. –16 b.–11 c. –4 d.–1

Amovie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. the columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. viewer's age group excellent good average poor marginal totals 16-25 52 42 12 7 113 26-35 33 50 5 9 97 36-45 58 12 28 34 132 which of these observations is supported by the data in the table? note: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. a. the majority of the audience in the 26-35 age group disliked the movie. b. among those who liked the movie, the majority were in the oldest age group. c. among those who disliked the movie, the majority were in the 26-35 age group. d. the majority of the audience in the 16-25 age group liked the movie. e. the majority of the audience from all the age groups disliked the movie