The answer is 604.235378543
The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
Answer:
7
Step-by-step explanation:
Fiction books: (1/6) of 30 books = 5 books
Non-fiction books: (3/5) of (30) books = 18 books
The subtotal here is 5 + 18, or 23.
23 of the books are either fiction or non fiction.
30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).
Answer:

Step-by-step explanation:
The problem could be simplified as following:
Given:
The radius of a circle O is 26 feet.
Solve for:
The length of arc on circle O that measures 13 radians
Solution:
Step 1: Let's find out the correct formula to apply:
The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:
L = r*x
Step 2: Let's put the data into formula to work out the length L of arc:
L = 26*13 = 338 (ft)
=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)
Hope this helps!
:)
Answer:
48
Step-by-step explanation:
Because the lines that the transversals are cutting through are parallel:

Hope this helps!