Astereo system is being installed in a room with a rectangular floor measuring 13 feet by 11 feet and a 7-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.)

Which is the solution to the inequality? 2 3/52 1/15 b< 3 2/15 b> 3 2/15

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Qrst is a parallelogram. determine the measure of ∠q pls