Given:
The length of the candle remaining unburned, in inches, can be modeled by the equation
where, t represents the number of hours since the candle was lit.
To find:
The slope and its interpretation in the context of the problem.
Solution:
Slope intercept form of a linear function is
where, m is slope and b is y-intercept or initial value.
We have,
It can be written as
The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.
Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.
1000
^3rad? should be equal to 10. So, 10^3 is equal to 1000
Plug in 2 for x
f(2) = 3(2) + 8
f(2) = 6 + 8
Solution: f(2) = 14
The answer is 80 ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:
to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.
Answer:
C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left
Step-by-step explanation:
