(3 + 2i)(5 + i)
15 + 3i + 10i + 2i^2
15 + 13i - 2
13 + 13i
I suppose what makes this question annoying is that there is the question mark so what i'll do first is substitute the question mark with x. also, there are annoying parenthesis so we'll first eliminate the ones we don't need. now we just have to solve for x.
-3.4 + (-8 + 2) = (x + (-8)) + 2
adding a negative number is subtracting that number so x + (-8) = x - 8
-3.4 + 2 - 8 = x - 8 + 2
-3.4 -6 = x - 6
x = -3.4
make sure you are aware that the negative sign belongs to the number after it so -2 + 4 is not -(2+4) = -6 but rather 4 - 2 = 2.
let me know if you have any questions!
Answer:
option B (28/52)
Step-by-step explanation:
from probability
P(A∪B)=P(A)+P(B)-P(A∩B)
where
P(A∪B) = probability that event A or B happen
P(A∩B) = probability that event A and B happen simultaneously
P(A) = probability that event A happen
P(B) = probability that event B happen
the probability that the card is special or red
P( special or red)= P(special) + P(red) - P( special and red)
since
P(special)= 4/52
P(red) = 26/52
P( special and red) = 2/52
therefore
P( special or red)= 4/52 + 26/52 - 2/52 = 28/52
P( special or red)= 28/52
(option B)
Answer:
11 1/12
Step-by-step explanation:
6 1/3 = 19/3
7 1/4 = 29/4
2 1/2 = 5/2
19/3 + 29/4 - 5/2
We must find the LCM of 3, 4, and 2. This happens to be 12
3*4 = 12
4*3 = 12
2*6 = 12
Multiply each fraction by the factor that'll get it to 12.
19/3 * 4/4 = 76/12
29/4 * 3/3 = 87/12
5/2 * 6/6 = 30/12
Now go through the problem
76/12 + 87/12 - 30/12
76 + 87 = 163
163/12 - 30/12
163 - 30 = 133
133/12
Simplify
133/12 = 11.0833... or 11 1/12
Hope this helps.
The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
<h3>How to determine the dimensions</h3>
The formula for determining the area of a rectangle is expressed as;
Area = width × length
Given that;
- Area = 84 square feet
- length = 2w
Let's substitute into the formula
84 = w(2w)
84 = 2w²
Divide both sides by 2
84/ 2 = w²
42 = w²
Take square root of both sides
w = √42
w = 6.4 feet
Length = 2w = 2 × 6. 4 = 12. 96 meters
Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
Learn more about rectangles here:
brainly.com/question/25292087
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