Answer:
The resultant velocity will be 12m/s
Step-by-step explanation:
If the river flows downstream at 2m/s and also the boat is heading downstream at 10m/s. You can add the two velocities to get the resultant velocity:
Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.
Answer:
calculate the rise over the run.
therefore, it's -8/7
Topic: coordinate geometry
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Answer:
Step-by-step explanation:
Given the polynomials:
On Inspection
By the Spanning Theorem
If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) 
that has the same span.
Therefore, since 
are linearly independent because 
cannot be written in terms of 
.
Therefore, 
Answer:
y = -1/3x + 1/3
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The given line is
y = 3x - 1
This equation is written in the slope-intercept form, y = mx + b, where m is the slope.
slope of given line = m = 3
slope of perpendicular line = -1/3
Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)
y = mx + b
y = -1/3x + b
3 = (-1/3)(-8) + b
3 = 8/3 + b
9/3 = 8/3 + b
b = 1/3
y = -1/3x + b
y = -1/3x + 1/3
