Find the equation of a line passing through the point (2,3), and perpendicular to the line with equation 3y-6x=4? The answer in the book is 2y- x-8=0 and I don't know how I am always getting this wrong. My working out has been rearranging the first equation and finding that the gradient is -2.

Having a -2 gradient means, m1 (in this case, -2) x m2 = -1, thus m2 must be 1/2.

Then doing, y-3= 1/2(x-2)

thus giving me 2(y-3)=1(x-2)

2y - 6 = x -2

rearranging to give me: 2y = x + 4

I understand if rearranged to other form it would be, 2y -x -4 = 0 but I don't know how it is -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).

Find the rate of change for the situation. you run 7 miles in one hour and 21 miles in three hours.

Lab 1: central tendency and standard deviation directions: use excel to compute descriptive statistics. problem: you are the manger of a fast food store. part of your job is to report to the boss at the end of each day which special is selling best. use your knowledge of descriptive statistics and write one paragraph to let the boss know what happened today. here are the data. use excel to compute important values (mean, median, mode, and standard deviation). make sure to include a copy of your work. this should be submitted via canvas (no exceptions). make sure you include your excel work in addition to a summary of the results. special number sold cost huge burger 20 $2.95 baby burger 18 $1.49 chicken littles 25 $3.50 porker burger 19 $2.95 yummy burger 17 $1.99 coney dog 20 $1.99 total specials sold 119