To eliminate the i in the denominator, you multiply it by (6+5i), because (a+b)(a-b)=a²-b², we need i² to eliminate i. Recall that i²=-1
-1(6+5i)/(6-5i)(6+5i)=(-6-5i)/[6²-(5i)²]=(-6-5i)/(36-25i²)=(-6-5i)/61
your choices are all correct. You need to check the 7th answer as well.
Answer:
D for 62
A for 63
Step-by-step explanation:
62. ExplanationWhy? Because 24 x w will get you the cost of 24 water bottles. Plus the cost of oranges (5.78) , you get a total of 13.46
63. Explanation. It a open circle, so the solution will not be part of the answer it will only be answers less than 5, but not 5
Answer:
1. the number of seconds 2. the number of feet the sub descends
Step-by-step explanation:
edg
Answer:
- vertical scaling by a factor of 1/3 (compression)
- reflection over the y-axis
- horizontal scaling by a factor of 3 (expansion)
- translation left 1 unit
- translation up 3 units
Step-by-step explanation:
These are the transformations of interest:
g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k
g(x) = f(x) +k . . . . vertical translation by k units (upward)
g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis
g(x) = f(x-k) . . . . . horizontal translation to the right by k units
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Here, we have ...
g(x) = 1/3f(-1/3(x+1)) +3
The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:
- vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
- reflection over the y-axis . . . 1/3f(-x)
- horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
- translation left 1 unit . . . 1/3f(-1/3(x+1))
- translation up 3 units . . . 1/3f(-1/3(x+1)) +3
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<em>Additional comment</em>
The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.
The horizontal transformations could also be described as ...
- translation right 1/3 unit . . . f(x -1/3)
- reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)
The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.
<span>Diameter :D , Raduis : R
D = 2R
R = 1.4 angstrom
1 angstrom = 0.00000001 cm = 10^-7
cm
R = 1.4 * 10^-7 cm
D = 2.8 * 10^-7 cm</span>