<span>s(t) = 1 - 12t
s'(t)= -12
As you can see the derivative is a constant, this is because the function is linear.
The velocity of a linear function is constant so at t=2 it is -12. (at any t would be the same)</span>
Answer:
Option A) y = -2x + 15
Step-by-step explanation:
step 1
Find the slope of the line perpendicular to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The equation of the given line is

so
The slope of the given line is 
therefore
The slope of the line perpendicular to the given line is

step 2
Find the equation of the perpendicular line in point slope form

we have


substitute
---> equation in point slope form
Convert to slope intercept form




Step-by-step explanation:
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Answer:
(A) 139°
Step-by-step explanation:
What we are trying to find here is the distance between -27 and 112.
To do this, we have to think of it as a number line.
The distance from -27 to 0 is 27 units, and the distance from 0 to 112 is 112 units.
So the total distance is 
Hope this helped!