According to the function transformations, the value of h is -2
<h3>How to determine the value of h?</h3>
The complete question is in the attachment
The functions are given as:


From the question, we understand that the function f(x) is translated to the left to get g(x)
From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).
This transformation is represented by:
(x, y) => (x + 2, y)
So, we have:
x - h = x + 2
Evaluate the like terms
h = -2
Hence, the value of h is -2
Read more about function transformations at:
brainly.com/question/3381225
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Answer:
U to V: 5/2
V to U: 2/5
Step-by-step explanation:
Simplify the ratio of the corresponding sides.
20 in to 8 in
25 in to 10 in
30 in to 12 in
Answer:

Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:


Therefore:

Now, cancel logarithms by taking exp of both sides:

Multiply both sides by
and using distributive propierty:

Substract
from both sides and factoring:

Multiply both sides by -1:

Split into two equations:

Solving for 
Add 4 to both sides:

Solving for 
Collect in terms of x and add
to both sides:

Divide both sides by e-2:

The solutions are:

If we evaluate x=4 in the original equation:

This is an absurd because log (x) is undefined for 
If we evaluate
in the original equation:

Which is correct, therefore the solution is:

Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
![\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csin%20u%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20u%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%5Ctan%20v%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20v%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Csqrt%5B%5D%7B21%7D%20%5Cend%7Bgathered%7D)
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;

We can find v as shown below;
Answer:
Step-by-step explanation:
x=9/13