Astereo system is being installed in a room with a rectangular floor measuring 13 feet by 10 feet and a 9-foot ceiling. the stereo amplifier is on the floor in one corner of the room. a speaker is at the ceiling in the opposite corner of the room. you must run a wire from the amplifier to the speaker, and the wire must run along the floor or walls (not through the air). what is the shortest length of wire you can use for the connection?
(hint: turn the problem into an equivalent simpler problem by imagining cutting the room along its vertical corners and unfolding it so that it is flat. you will be able to apply the pythagorean theorem.)
the shortest length of wire that can be used is ft.

Which polynomial function has x intercepts -1, 0, and 2 and passes through the point (1, -6)

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

Astudent draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-12). the y intercept of the second parabola is (0,-24) what is the positive difference between the a values for the two functions that describe the parabolas