If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?a. 2
b. 4
c. 9
d. 10
Answers
A) 2.
Explanation:
We know that |x|² = 13 and x = 3+bi:
(3+bi)² = 13
3² + b² = 13
9 + b² = 13
Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4
Take the square root of each side:
√b² = √4
b = 2
A possible value of b is mathematically given as
b = 2
What is a possible value of b ?
Generally, the equation for the complex number is mathematically given as
x = 3 + bi and |x|^2 = 13,
Therefore
Take the square root of each side:
b = 2
In conclusion,
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Answers
Answer:
SA=158cm²
Step-by-step explanation:
To find surface area, you find the area for all the surfaces and add them together. Let's start with the red rectangular prism first.
The top has measurements of 5 and 2. The area of that is 10.
The bottom is the same so it's area is also 10 but we don't want to add it since it's not on the surface.
The side facing us has measurements of 4 and 2, the area is 8.
The side opposite to this is the same so it's area is also 8
Now the right face of this shape is 4 and 4 so 16.
The left face will have the same area. It'll also be 16.
The surface area of the red shape is 10+8+8+16+16= 58
Now the orange shape.
The side facing us is 5 and 3 so area=15
The side opposite to this will have the same area.= 15
The right face is also 5 and 3 so 5x3=15
The opposite face to this will also have an area of 15
Now the top face, it's 5 and 5 = 25. We have to subtract the area covered by the red shape. So 25 - 10 = 15
The bottom face's area will be 25.
The surface area of this shape will be : 15+15+15+15+25=100
Now add the areas of both shapes
58+100 = 158
SA=158cm²
Hope this helps :)
2x
√2x
x√2
x²√2
Answers
Answer:
√2x.
Step-by-step explanation:
√x * √2 = √(2x).
Its the second option.
Answer:
The correct answer is: √2x
Step-by-step explanation:
We (must to) know that is:
√a · √b ⇔ √ab
God with you!!!
Answers
Answers
Answer:
(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
Step-by-step explanation:
It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.
No of days between Monday to Friday = 5
No of days between Monday to Friday in 2 weeks = 10
We need to find how many minutes Jack reads his book in two weeks.
For 10 days, before school = (8 × 10) min = 80 minutes
For 10 days, after school = (10 × 10) min = 100 minutes
It means, total time will be :
T = (8 × 10) min + (10 × 10) min
T = 80 + 100
T = 180 minutes
Hence, the correct option is (C).
8,000 mm
0.8 m
0.08 km
8 m
Answers
Hope it is helpful :)