The length of AA' is the squareroot of 29.
Answer:
4 : 18, 8 : 36
Step-by-step explanation:
We multiply to find equal ratios.
2 x 2 = 4
9 x 2 = 18
4 x 2 = 8
18 x 2 = 36
We get 4 : 18, 8 : 36.
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
The answer is 1.47
hope this help you
Answer:
Number 9: 1.25 miles
Step-by-step explanation:
In total Brian hiked 16 miles
In total Christine hiked 14.75
So, 16 - 14.75 = 1.25
Overall, Brian hiked 1.25 more miles than Christine.