NEED HELP FAST 1. Simplify 9^2/9^7. A.9^5 B.1/9^9 C.1/9^-5 D.1/9^5
1 answer:
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The translation of four units up describes the transform function g(x) option first is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
The graph shows f(x)=(1/2)ˣ and its translation, g(x).
Which describes the translation of f(x) to g(x)?
- Translation of four units up
- Translation of five units up
- Translation of four units to the right
- Translation of five units to the right
The graph is attached please refer to the picture.
We have the equation of the function f(x):
From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)
g(x) = f(x) + 4
Thus, the translation of four units up describes the transform function g(x) option first is correct.
Learn more about the function here:
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9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
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<em>Additional comment</em>
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
