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8_murik_8 [283]
1 year ago
7

What is the additive identity of the complex number 14 + 5i?

Mathematics
2 answers:
Naddika [18.5K]1 year ago
7 0

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

iVinArrow [24]1 year ago
4 0

Answer:

The answer is B. 0

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Rearrange x=3g+2 to make g the subject
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g = (x - 2)/3

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Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
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Answer:

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V = ∫∫∫ dzdydx  

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dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

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Step-by-step explanation:

8 0
2 years ago
The vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). Translate △ DEF using the given vector. Graph △ DEF and its image. T
jeyben [28]

Answer:

The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

Given the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). We have to translate the triangle using the vector (6, 0)

Now, translation by vector (6, 0)

D (2, 5)=D'(2+6, 5+0)=D'(8, 5)

E (6, 3)=E'(6+6, 3+0)=E'(12, 3)

F (4, 0)=F'(4+6, 0+0)=F'(10,0)

Now, we have to label the coordinate of the triangle or to get image of triangle after translation.

Hence, The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

7 0
2 years ago
Which equation has the components of 0 = x2 – 9x – 20 inserted into the quadratic formula correctly? x = x = x = x =
Ber [7]
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where,
a=1,b=-9,c=-20
thus substituting the above values into our formula we get:
x=[9+\-sqrt(9^2-4(-20*1))/(2*1)
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x=[9+sqrt161]/2 or x=[9-sqrt161]/2
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2 years ago
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