Solving
we get 
Option A is correct.
Step-by-step explanation:
We need to find the result of 
We need to remove i from the denominator. For removing i Multiplying and dividing by 2-3i:

Solving:

So, solving
we get 
Option A is correct.
Keywords: Complex numbers
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Answer:
13 Boxes with $41 left over
Step-by-step explanation:
$600/$43 = 13.9 (so she can buy 13 boxes of light fixtures)
$43 x 13 = $559
$600-$559=$41 left over
Answer:
The coordinates of the point X:
Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.


Rise = y₂ - y₁



Run = x₂ - x₁



1 : 6 ratio means the point X lies at
Thus,
rise for X 
run for X 
Thus, coordinates of X will be:


Therefore, we conclude that:
The coordinates of the point X:
Answer:
-0.5
Step-by-step explanation:
-4.7+4.2 = -0.5
Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let
, to obtain
, we need to use the following two operations:
(i) Vertical stretch
, 
(ii) Reflection over the x-axis

Let prove both transformations in
:
Step 1 - Vertical stretch (
)

Step 2 - Reflection over the x-axis

Hence, correct answer is A.