Answer:
C) {6+√43, 6-√43}
Step-by-step explanation:
Applying,
x = [-b±√(b²-4ac)]/2a.................... Equation 1
From the question,
Given: a = 1, b = -12, c = 7
Substitute these values into equation 1
x = [-(-12)±√(-12²+4×1×7)]/2×1
x = [12±√(144+28)]/2
x = [12±√172]/2
either,
x = (12-√172)/2
x = (12-2√43)2
x = (6+√43)
or
x = (12+√172)/2
x = (12+2√43)/2
x = (6+√43)
Hence,
The right answer is C). {6+√43, 6-√43}
Answer:
A.
Step-by-step explanation:
The trinomial
is of the form
. Then, it can be factored by searching two numbers that added are -12 and multiplied are 35. Those numbers are -7 and -5. Then,

So, the answer is A.
Answer:
892 ft (3 sf)
Step-by-step explanation:
Sin(48) = x/1200
x = 891.7737906 ft
ANSWER

EXPLANATION
The period refers to the interval over which the function completes one full cycle.
The given function completed four cycles in on the the interval.
[-π,π]
The period is


Simplify;


The last choice is correct.
This can be accomplished using addition. If time starts at 5:47, and it takes 33 minutes to get from Point Pleasant to Long Branch, then it is now 6:20.
After you arrive, you waited 14 minutes. It is now 6:34. Finally, it's an hour and 20 minute journey from Long Branch to New York. The final time is 7:54.
Hope this helps!
-Astro, Helper-In-Training