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.
The right answer is Option A.
Step-by-step explanation:
Given equation is;
y = 0.354x+4.669
Where x represents the number of miles traveled.
For measuring the cost for two stations that are 10 miles apart;
x=10
Putting in given equation
Rounding off to nearest hundredth;
y=$8.21
The cost for two stations that are 10 miles apart will be $8.21
The right answer is Option A.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
Answer:
1/6
Step-by-step explanation:
When trying to calculate the probability of a sequence of events you need to multiply the probability of the first event happening by the probability of the second event happening. There are a total of 4 numbers (2,3,4,5) and only one is a 2. Therefore the probability of the first pick being a 2 is 1/4. Now there are only 3 cards left (3,4,5) and only 2 numbers are greater than 3 so the probability of picking one of these cards is 2/3. Now that we have both of these probabilities we simply multiply them together.
1/4 * 2/3 = 2/12 or 1/6
Therefore, the probability of picking a 2 and then picking a number greater than 3 is 1/6
Answer:
A
Step-by-step explanation:
If you plug in the x and y into both of those equations, you can see that only A would make the equation true.
Hope This Helps! :) Please mark as brainliest if you can!
