The cities are 12.2 miles apart
<u>Step-by-step explanation:</u>
The scale of the map is,
5cm = 10 miles
The distance between the 2 cities in map is 6.2 cm
The actual distance between the 2 cities = (6.2 x 10) / 5
= 62/5
= 12.4
The 2 cities are 12.4 miles apart.
Answer:
x=3 and x=1
Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.
You have to factorize the denominator and find the zeroes of the denominator. That is how you find out the horizontal asymoptote.
Answer:
D, E, F
Step-by-step explanation:
The first step I would do is distribute the original equation. After distributing, the equation is now 8x² + 16xy. The first answer I see that matches this is D.
Then, after already eliminating A, B, and C, I look at E. I distribute the x and find out it is also equal to 8x² + 16xy.
Then, I look at F. After distributing again, it is also equal to 8x² + 16xy.
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft
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