Answer:
Step-by-step explanation:
a).
= 
= 
=
[Since, i =
]
b).
= 
= 
= 5 ± 2i [Since, i =
]
c).
= 
= 
= 
=
[Since, i =
]
Answer:
w < 8 meters ( w must be greater than 0 because length cannot be 0)
Step-by-step explanation:
One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).
Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:
Rope Needed = 23 + 2w < 39
Simplifying:

The range of possible values of w is
meters (of course w has to be greater than 0)
Answer: OPTION C
Step-by-step explanation:
By definition, the median is the middle number in the set.
Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:
14, 28, 33, 42, 53, 81, 97
Then, you can conclude that the median is: 42.
Therefore, the answer is the Option C.
You didn't write what to do with the fraction but I think you meant to ask to simplify it:
38b/-19
Multiply - 19 from top and bottom :
-2b