Which option below correctly describes the domain of b(x)= 181- x and explains why the range of bis not all real
numbers?
the domain is all real numbers less than or equal to 81.
the range is not all real numbers because the square root of a negative number is not a real number.
the domain is all real numbers less than or equal to 81.
the range is not all real numbers because the square root symbol applied to a non-negative number is non-negative.
the domain is all real numbers greater than or equal to 81.
the range is not all real numbers because the square root of a negative number is not a real number.
the domain is all real numbers greater than or equal to 81.
the range is not all real numbers because the square root symbol applied to a non-negative number is non-negative.

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

The focus of parabola is (-4, -5), and its directrix is y= -1. fill in the missing terms and signs in parabolas equation in standard form

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).