Answer:
Speed = 0.1333 km/minute
Step-by-step explanation:
According to the graph :
At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.
Speed during the last 30 minutes :
Speed = distance / time
Distance moved during this period :
Distance (from 0 to 4km)
Time = (from 30 to 60 minutes)
Speed = (4 - 0) / (60 - 30)
Speed = 4 / 30
Speed = 0.13333 km per minute
Answer:
x = 3
y = 5
Step-by-step explanation:
Using theorem of similar triangles, we have,
(6 + x)/6 = (7 + 3.5)/7
(6 + x)/6 = 10.5/7
Cross multiply
7(6 + x) = 10.5(6)
42 + 7x = 63
7x = 63 - 42
7x = 21
x = 21/7
x = 3
Thus:
7.5/y = (7 + 3.5)/7
7.5/y = 10.5/7
Cross multiply
7.5*7 = 10.5*y
52.5 = 10.5*y
Divide both sides by 10.5
52.5/10.5 = y
y = 5
First you need to find the y-intercept, which is y = -1
Next is we need to find the slope of the line > you are going to have to do this by finding to clear point
The ones that I will be using are: (3, 1); (6, 3) (You could take any points)
Now using the slope formula we could find m.
m = y2-y1 / x2-x1
(1 - 3) / (3 - 6) = m
-2 / -3 = m
m = 2/3
Using the linear function format: y = mx + b
Therefore the equation of the line is y = 2x/3 -1
