Answer: A) -9
Step-by-step explanation:
If x = -2
Then
= 
So, it is -9
Answer:
x = 31.8°
Step-by-step explanation:
Applying the Law of Sines, we have:

Multiply both sides by 12




x = 31.8° (nearest tenth)
6
9x is rate of function
3x is rate of function
y=mx+b
Answer:
Maximum height of the arrow is 203 feets
Step-by-step explanation:
It is given that,
The height of the arrow as a function of time t is given by :
..........(1)
t is in seconds
We need to find the maximum height of the arrow. For maximum height differentiating equation (1) wrt t as :



t = 2 seconds
Put the value of t in equation (1) as :

h(t) = 203 feet
So, the maximum height reached by the arrow is 203 feet. Hence, this is the required solution.
To solve this problem, we must assume that the man
undergoes constant acceleration as he goes down the river (therefore no other forces
must act on him except gravity). Therefore we can use the formula below to
calculate for the duration of his fall:
y = y0 + v0 t + 0.5 a t^2
where y is the distance and y0 = 0 since we set the
reference point at the bridge, v0 is the initial velocity and is also equal to
v0 = 0 since the man started from rest, therefore the equation becomes:
y = 0 + 0 t + 0.5 a t^2
y = 0.5 a t^2
Rewriting in terms of t:
t^2 = 2 y / a
t = sqrt (2y / a)
a is acceleration due to gravity = 9.8 m/s^2
t = sqrt [2 * 23 / 9.8]
t = 2.17 s
Therefore the jump last only about 2.17 seconds.