Answer:
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically
Step-by-step explanation:
Given:
If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).
If we multiply -F(x) by 2, we stretch it vertically.
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
<em>In the right triangle ABC</em>
<em>Find the measure of side AB applying the Pythagoras Theorem</em>

substitute the values



Find the sin(C)
we know that
The function sine of angle C is equal to divide the opposite side angle C by the hypotenuse
so

substitute the values

Simplify

Let's look at the second equation and try multiplying it by 4:
4 * (3x + ky) = 4 * 27
Which gives us:
12x + 4ky = 108
This looks almost exactly like the first equation except that instead of -20y, there is 4ky. We could try making them equal to each other and solving for k:
-20y = 4ky
-20 = 4k
k = -5
Then, the answer is k = -5.
Answer:
V(cylinder) = πr²h
h=3 cm
r=2 cm
V(cylinder) = πr²h = π*2²*3 =12π cm³
Answer : 12π cm³.
1. The whole numbers are the counting numbers starting at zero.
2. The natural numbers are the counting numbers starting at one.
These are just the definitions that are usually used. Some authors count zero as a natural number.