Lionel writes two linear functions. Function 1 is defined by the equation 2y−8=6x. Function 2 passes through the points (2,−8) and (6,k). For the case where the graphs of the two linear functions have the same y-intercept, what must be the value of k?

In the figure shown below, m < 40 and ab =8. which equation could be used to find x?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

The length of the line segment joining the midpoints of sides ab and bc of the parallelogram abcd is 10. find the length of diagnol ac