I^2 = -1
i = √-1
Substitute the value of i in the equation:
(4+2i)(6-ki)=30
{4 + (2)(√-1)} {6 - k (√-1)} = 30
( 4 + 2√-1)(6 -k√-1) = 30
24 - 4k√-1 + 12√-1 -2k (-1) =30
24 - 4k√-1 + 12√-1 +2k =30
-4k√-1+12√-1 + 2k - 6 =0
-2√-1(2k -6) + (2k-6) =0
(-2√-1 +1)(2k-6)=0
2k -6 =0
2k = 6
k= 3
So, the value of k is 3.
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Hope this helps!
The answer is A, let me know if you need an explanation
Answer:
The answer is letter c.
Step-by-step explanation:
In order to know the answer, it is best to check what is given in the scenario above.
45 minutes = the time it takes for Betty and Dyan to pick 8 quarts of strawberries.
45x minutes= this refers to the time it takes for Dyan to pick 8 quarts of strawberries
In the rational expression, 45x-10, we've already known that 45x refers to minutes or the time it takes for Dyan to pick 8 quarts of strawberries, thus 10 here refers to minutes or time as well.
The mathematical operation used is<u> "subtraction,"</u> so this means that Betty takes a shorter time than Dyan when it comes to picking strawberries in the situation above.
Thus, the denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.
