sqrt(-49) / [ (7-2i) - (4+9i) ]
= 7i / (3 - 11i)
= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]
= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130
Answer:

Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval
, and if
is any number between
and
, then there exists a value,
, where
, such that 
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,

Put 

Put 

Answer:
Well, I'm a Scorpio... why does the sign matter to you?
Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel = 
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Answer:
c
Step-by-step explanation: