5. From the figure below, state the coordinates of each of the points shown on the Cartesian plane -10 D. -5 & ty 10 in -5- -10- + B pr Co Q Q• P• +X 10

2* + 3° = 5, 2*+2 +3y+1 = 18.

Valeria drew a logo for her new business on a coordinate plane, as shown. f she reflects the logo over the line y =1 and then translates the logo 3 units down. which of the following statements is true? The tanstarmad figura ia congruant because he vansformationa Valela dow wara rigid O mefons. The cmordinates for the tansformed figure an (0,-1), (-4 -1). (-2, 2). The tansformed figure is congruent becmune the ranformatione Valeria dee were rigid O matona. The coránates for tha tanstrmad figure a (2, - 3). (4, - 6), (6, -3) The tansformed figure is not congruent becmne Valerin perfomed at eant one trmstermation hat is non-igid The caordinatus tr the translomad fgure are (-1), (4. -1). (-2, 2) The tanstamad figura is nat conguent becausa Valaria parfomad at lkast ona tranatomation that is non-rigid The coordinates for the transformed figure are (2. -3). (4 6). (6 -3)

3) Jim rides a second Merry-Go-Round shown below. The distance, d, that Jim is from the wall can be described by the equation d = 38 + 22sin(8t), where t is the number of seconds since Jack was at the Start point. Answer the questions below (just enter the numbers), show ALL work, AND upload your work paper (or show your work) in the next question. The Merry-Go-Round makes one rotation every 45 seconds. Start 22 m 38 m Wall meters a) What is Jim's distance from the wall when t = 41 seconds? Round your answer to the nearest hundredth of a meter. b) The owner of the Merry-Go-Round decides to make the ride more exciting by tripling the rotational speed. Rewrite the equation for d given above to reflect this change. sin(