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faltersainse [42]
4 years ago
14

According to the complex conjugates theorem, if 5-i5 − i is a root of a function what else is a root?

Mathematics
1 answer:
Ad libitum [116K]4 years ago
8 0

Answer:

5 + i

Step-by-step explanation:

The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.

Now, in our case (5 - i) is a root of a polynomial.

The complex number (5 - i) has conjugate and it is (5 + i).

Therefore, (5 + i) will also be a root of the same polynomial. (Answer)

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Kyle drove his car 250 miles on 20 gallons of gas. How many miles per gallon did Kyle average?
weqwewe [10]

Answer:

Step-by-step explanation:

250 divided by 20= 12.5

So 12.5 miles per gallon.

6 0
4 years ago
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If b is the midpoint of ac, ac=cd, ab=3x+4, ac=11x-17, and ce=49, find de
IrinaK [193]

First, we draw our line.

 

|------------------------------------------------------------------------------------|

a                                                                                                            e

 

 

Next, break up this line into segments using the information.

 

|----------------------|----------------------|--------------------|------------------|

a                            b                            c                         d                      e

 

 

The entire line is 29.

 

ab + bc + cd + de = ae

ab + bc + cd + de = 29

 

You also know that

 

bd = bc + cd

 

 

Due to midpoint theorem,

 

ab = bc

cd = de

 

 

Then,

 

2ab + 2cd = 29

 

 

The equations we will use are

 

bd = bc + cd                       eq1

2bc + 2cd = 29                   eq2

 

 

Dividing both sides of the equation in eq2 yields

 

bc + cd = 14.5

 

bd = bc + cd

bd = 14.5

5 0
4 years ago
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I dont know how to do this
ra1l [238]
So LCM means least common multiple, and it would be 210.

Hope this helps you :)

3 0
3 years ago
Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches,
kolbaska11 [484]

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

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95²= 60²+ 25²

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9025≠4225

Therefore only D is the correct option

8 0
3 years ago
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