B. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 400 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used?

Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function.

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.