Brainliest will be given! 1. Can x^3+8 be factored? Explain

A. Yes, because x^3 and 8 both share a common factor.
B. No, because x^3 and 8 do not have any common factors.
C. Yes, becahse a sum of cubes can be factored. D. No, becahse a sum of cubes cannot be factored.

2. Determine whether each identity is true or false.

A. a^2-2ab+b^2=(a+b)(a-b)

B. a^2-b^2=(a+b)(a+b)

C. a^2+2ab+b^2=(a+b)(a+b)

D. a^3-b^3=(a-b)(a^2+ab+b)

To prove p is equal to q using an indirect proof what would your starting assumption be?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

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).