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balu736 [363]
3 years ago
14

If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

A.2

Step-by-step 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

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3 years ago
What is the volume of the cylinder below use formula v=ñr2 h
Vikki [24]

Answer:

The volume of the cylinder = π r² h

where r is the radius of the cylinder and h is the height of the cylinder.

This is formula is applied for the right cylinder as figure 1 and oblique cylinder as figure2.

<u>The volume of the cylinder of figure 1:</u>

r = 6  and  h = 7

volume = π r² h = π  * 6² * 7 = 252π   units³

<u>The volume of the cylinder of figure 2:</u>

r = 11  and  h = 15

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3 years ago
Sarah opened new savings account on Tuesday with a deposit of $70. She made a deposit of $30 on Friday and a withdrawal of $60 o
irakobra [83]

Answer:

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Step-by-step explanation:

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3 0
1 year ago
Solve the system.
liraira [26]

Answer:

Option D is right,.

Step-by-step explanation:

-a+4b+2c=-8   ... i

3a+b-4c=9      ... ii

b=-1                 ... iii

Substitute the value of b, in i and ii

-a-4+2c =-8 or -a+2c = -4

and 3a-1-4c = 9 or 3a -4c =8

Now we have two equations in two variables

-a+2c =-4 and 3a-4c =8

a = 2c+4:  substitute this in the other equatin.

3(2c+4)-4c =8 Or 2c +12 =8

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6 0
3 years ago
The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were a
GrogVix [38]

Answer:

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is 61*2 which equals 122. The most they couldve used is 61*3 which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor's, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

3 0
3 years ago
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