Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Answer:
32.008
Step-by-step explanation:
Answer:
r = 1/6
Step-by-step explanation:

Multiply both sides by 4

Divide both sides by 3

Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.
Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s
Mark:
t = 5 s
Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s
Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s
Answer:
The winner is Mark