The water level in Catherine's hot tub was below the recommended water level when she turned the hose on. She forgot to turn the hose off and filled the hot tub above the recommended water level. The number line below shows the number of gallons below the recommended water level the hot tub was when she turned the hose on and the number of gallons above the recommended water level the hot tub was when she turned it off. According to the number line, how many gallons of water did Catherine put in the hot tub? A. B. C. D.

Which of the following expressions is equal to 2x^2+8

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).

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge