Answer:
15
Step-by-step explanation:
To find the average rate if change of the exponential function between the interval [2, 6], use the formula, 
Where,


Plug in the above values into the formula:



Average rate of change is 15
period (T): the time it takes to travel one wave
= 2π - (-10π)
= 12π
One thing you should notice is that the transverse line and the parallel line form a right triangle. We are told that the base is 4 and the angle between the hypotenuse and the leg is 45°
From this we can solve for the second leg. Here's the list of trig functions
sinФ = opposite/hypotenuse
cosФ = adjacent/hypotenuse
tanФ = opposite/adjacent
Since we are only given the adjacent and we are trying to solve for the opposite leg, we can deduce we use tanФ. So we get

Multiply by 4 to isolate x and we get

= x
Hopes this helps!
Answer:
D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Step-by-step explanation:
The complete question is:
<em>Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio? </em>
- In a 3:2 ratio there are 3 + 2 = 5 equal parts.
- The distance between points A and B is: 6 - (-4) = 6 + 4 = 10 units.
- Each equal part is 10/5 = 2 units.
- Point 2 is at 2 - (-4) = 6 units from -4
- Point 2 is at 6 - 2 = 4 units from 6
- Ratio 6:4 is equivalent to ratio 3:2
Answer:
k=-6
Step-by-step explanation:
-5k-10=14-k
-24=4k
k=-6