Step-by-step explanation:
There is no picture showing a graph, I'm very sorry but you have to press the bottom of the screen where it has a paperclip thing and then you have to add a picture from your gallery. I. sorry I couldn't answer you're question but you can redo it with the photo of the graph and I will try to answer it.
This problem is better understood with a given figure. Assuming
that the flight is in a perfect northwest direction such that the angle is 45°,
therefore I believe I have the correct figure to simulate the situation (see
attached).
Now we are asked to find for the value of the hypotenuse
(flight speed) given the angle and the side opposite to the angle. In this
case, we use the sin function:
sin θ = opposite side / hypotenuse
sin 45 = 68 miles per hr / flight
flight = 68 miles per hr / sin 45
<span>flight = 96.17 miles per hr</span>
The velocity of the particle is given by

Since
and
, we get


Similarly, the position function is obtained via

We know
and we're told that
, so


making the answer A.
Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,