Answer:
5. y = 2/3x + 1
8. y = 4/7x - 4
Step-by-step explanation:
5. (-6, -3) and (6, 5)
You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept
(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3
slope-intercept form: y=mx+b where m is the slope and b is the y-intercept
to find b you can plug in one of the coordinates and the slope
5 = 6(2/3) + b
5 = 4 + b
1 = b
y = 2/3x + 1
8. (-7, -8), (21, 8)
m = (8 - (-8)) / (21 - (-7)) = 16 / 28 = 4/7
plug in one of the coordinates and the slope to find b or the y-intercept
8 = 21(4/7) + b
8 = 12 + b
-4 = b
y = 4/7x - 4
Answer:
20 possible arrangements
Step-by-step explanation:
A: Alice
B: Bob
C: Cindy
X: other student
All the possible arrangements are:
When Bob is in the first place
B A C X X
B A X C X
B A X X C
B X A C X
B X A X C
B X X A C
6 possible arrangements
When Bob is in the second place (notice that neither Alice nor Cindy can be before Bob)
X B A C X
X B A X C
X B X A C
3 possible arrangements
When Bob is in the third place
X X B A C
Only 1 possible arrangement.
Total arrangements when Bob is before Cindy: 10
If Cindy is before Bob the same situations are repeated, given another 10 arrangements. So, the total line up in which Alice is somewhere between Bob and Cindy are 20.
Answer:
35 feet
Step-by-step explanation:
The answer is 5 you’re welcome
