Try this one:
Is s triangle with sides 6,9,11 an obtuse, right, or acute triangle?
2 answers:
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Given:
The function that represents how the amount of fuel changes as a function of distance flown is
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
to find the slope for the first one, use the formula
(It's the slope formula)
so...
then plug in...
this line has a slope of 0
As for the miles problem, to find mph, the miles have to be at 1.
so...
therefore, he drove 60.5 mph