Answer:
2000 meters
Step-by-step explanation:
When the motorboat is moving downstream, its speed relative to the ground is 18 km/h, so its speed relative to the raft is 15 km/h.
When the motorboat is moving upstream, its speed relative to the ground is 12 km/h, so its speed relative to the raft is again 15 km/h.
Converted to m/min, the relative speed is:
15 km/h × (1000 m/km) × (1 h / 60 min) = 250 m/min
It takes the motorboat 16 minutes to travel to the front of the raft and back. Since the speed is the same in both directions, the motorboat takes 8 minutes to travel the length of the raft.
So the length of the raft is 250×8 = 2000 meters.
Answer:
Draw a line AB
Take a point C on AB
Fix the tip of compass at C and with a fix radius, cut AB on both sides of C
Mark those points D and E
Fix the tip of compass on D, and with the same radius, draw an arc above C
Do the same with E
Those two arcs will intersect at a point, mark the point F
Make a line passing through both C and F
Line CF is perpendicular to AB
Answer:
5x + 3
Step-by-step explanation:
1) Collect like terms.
(2x − x + 3x + x) + (5 − 2)
2) Simplify
5 x + 3
Answer:
y = -1/3x - 4 (slope-intercept form)
or
x + 3y = -12 (Standard form).
Step-by-step explanation:
The slope of the line = (-3 - (-2)) / (-3 - (-6))
= -1 / 3.
Using the point-slope form of straight line:
y - y1 = m(x - x1) we have:
y - (-2) = -1/3(x - -6))
y + 2 = -1/3(x + 6
y + 2 = -1/3x - 2
y = -1/3x - 4
In standard form (multiplying thru by 3):
3y = -x - 12
x + 3y = -12.
