Answer:
is there a picture to this problem?
Answer:
I may be wrong, but I learned that the first slot would be "terms". 4:3 would be an example of a ratio so it couldn't be ratio and a difference is subtracting.
The second slot would not be a geometric sequence because it is not correctly placed on the number line.
Therefore, the answers would be "terms" and "is not"
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
option D
Step-by-step explanation:


(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)

To simplify it we take LCD
LCD is (x+3)(x+3)


All the denominators are same so we combine the numerators


Option D is correct
Answer:
The equation of this line is therefore y = 2x + 3.
Step-by-step explanation:
this line passes thru the points (0, 3) and (3, 9). As we move from (0, 3) to (3, 9), x increases by 3 and y increases by 6. Thus, the slope of this line is
m = rise / run = 6/3, or m = 2. Inserting the known info (m = 2, x = 0, y = 3) into y = mx + b, we get: 3 = 2(0) + b, so we see that b = 3.
The equation of this line is therefore y = 2x + 3.