When Stretch Gordon signed a contract to play basketball for the Toronto Raptors, he received a one-time $250 000 signing bonus. His contract said that he would also receive $100 000 for each game he plays. The Raptors are scheduled to play 85 games this season. Create a table of values that will show some of the possible amounts Stretch might earn throughout the first season. Number of games played is represented by n and money earned by E. Graph the information to show his earnings for the season. Use a suitable scale. Change the money values in your table to millions of dollars before starting. i) Write an equation relating Stretch’s earnings to the number of games he plays. ii) Define your variables, including units. iii) Explain what the numbers in your equation represent for Stretch. How much money will Stretch make if he plays 44 games this season? Show your work. Stretch’s twin brother, Rory, has been offered a different contract. The following equation defines the offer: E = 95 000n + 450 000 E represents Rory’s total earnings in dollars and n represents the number of games Rory plays. Is this a better offer than Stretch’s? Give reasons for your answer by comparing the two offers, reporting mathematical details about the comparison.

  5.   y=6; de=7; fg=8

  6.   x=4.2; jl=14.2; mn=13

step-by-step explanation:

when chords cross inside a circle, the product of the segment lengths is a constant.

5. dh×eh = fh×gh

  y = gh = dh×eh/fh = 3×4/2 . . . divide by the coefficient of gh

  y = 6

of course, the total chord length is the sum of the lengths of its segments.

  de = dh +eh = 3+4 = 7

  fg = fh +gh = 2+6 = 8

6. this problem works the same way as the previous one.

  x = lk = mk×nk/jk = 6×7/10 = 4.2

  jl = jk +lk = 10 +4.2 = 14.2

  mn = mk +nk = 6 +7 = 13

comment on chords and secants

you can think of the points h (problem 5) and k (problem 6) as points where the chords meet. a chord is part of a secant line, a line that intersects the circle in two points. one can also consider these points (h or k) to be the points where the respective secant lines meet.

then, the product that is a constant is the product of the distance from the meeting point (h or k) to one circle intersection with the distance from that meeting point to the other circle intersection. for problem 5, the constant is the product hd×he = hf×hg.

it turns out that this rule regarding the products of lengths to points of intersection is also true when the secants intersect outside the circle.

that is, you only need to remember one rule to work both kinds of problems.

x/3-10=8

x/3=18

x=48

sadsdda

step-by-step explanation:

hi how are you doing today? if you ever need just tell me

step-by-step explanation: