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8090 [49]
4 years ago
8

What is the standard form of (1+2√-3)/(1+√-3)

Mathematics
2 answers:
miv72 [106K]4 years ago
7 0
1.75+0.43301270i
hope this helped and let me know if i was right plz

ExtremeBDS [4]4 years ago
3 0

Answer:

\frac{7}{4} +\frac{3}{4} i

Step-by-step explanation:

(1+2\sqrt{-3} )/(1+\sqrt{-3})

To remove the negative sign from square root use 'i'

square root (-1) is 'i'

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i}

Multiply top and bottom by conjugate of (1+\sqrt{3}i)

Conjugate of (1+\sqrt{3}i) is (1-\sqrt{3}i)

Multiply it at the top and bottom

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i} \cdot \frac{1-\sqrt{3}i}{1-\sqrt{3}i}

Multiply numerator and denominator using FOIL method

\frac{1-\sqrt{3}i+2\sqrt{3}i-3i^2}{1+3}

the value of i^2 is -1

\frac{1+\sqrt{3}i-6(-1)}{4}

\frac{1+\sqrt{3}i+6}{4}

\frac{7+\sqrt{3}i}{4}

\frac{7}{4} +\frac{3}{4} i

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List and explain the elements that make up the structure of a fugue, then list and explain at least four techniques Bach utilize
mina [271]

Answer:

The fugue begins with an exposure. After the exhibition the alternative composer between episodes and presentations of the subject. In each fugue this scheme is developed in a varied way according to the invention and the needs of the composer.

Step-by-step explanation:

The elements that make up a musical fugue are:

The exhibition: It begins with one of the voices presenting the subject (name given to the theme on which a fugue is based). A second voice continues with the answer. The other voices continue alternately between subjects and responses. The exhibition concludes once all the voices have presented the subject or the answer.

While the second voice presents the answer the first voice makes a counterpoint to this answer. Similarly, when the third voice enters, the first two accompany it with other counterpoints. This counterpoint can be called counterpoint or free counterpoint. It is called a countersubject when it appears next to the answer. When the counterpoint is different in each presentation it is known as a free counterpoint.

The final section of the fugue begins when the subject returns to the initial hue of the fugue and from here to the end of the work. This ending is usually formed in several measures added to the main structure. This conclusion is the coda.

In the first place, he must remember that Bach was a self-taught, he was trained alone and specifically by the study of music itself, by the observation and analysis of other people's compositions, very often of poor significance in front of his own and that he copied, however, of his handwriting. The pedagogical activity of Bach and what he taught: "We must make the fugue of the subject", this means that each subject requires his fugue. Bach added another teaching, "voices must not enter without having something to say, or call before they have said everything they have to say," which means that they have voices should not speak for speaking and that they have no obligation to be always present.

In conclusion, Bach did not give any norm about the fugue, not least in terms of the genre of procedures for cases where this kind of compositions could be applied, leaving subjects free to perform this type of music.

6 0
3 years ago
Jordans have a rectangular garden. want to build a diagonal pathway across he garden. the length of pathway is 90 ft. width of g
blondinia [14]
So we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56

legnth=8.96
width=89.56
4 0
3 years ago
Read 2 more answers
A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a
Reptile [31]

Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.

5 0
3 years ago
19.25 rounded to the near ones
Leya [2.2K]
19.25 rounded to the nearest ones is 20
4 0
3 years ago
Read 2 more answers
Label 1/4 on the number line. Label 1/2 on the number line .
KIM [24]

Answer:

it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth

Step-by-step explanation:

Hope that helps.

5 0
3 years ago
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