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EastWind [94]
3 years ago
7

Question 6

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract

complex numbers by adding their real and imaginary parts:-

(a + bi)+(c + di)=(a + c)+(b + d)i,

(a + bi) − (c + di)=(a − c)+(b − d)i.

We can multiply complex numbers by expanding the brackets in the usual fashion and using i

2 = −1,

(a + bi) (c + di) = ac + bci + adi + bdi2 = (ac − bd)+(ad + bc)i,

and to divide complex numbers we note firstly that (c + di) (c − di) = c2 + d2 is real. So

a + bi

c + di = a + bi

c + di ×

c − di

c − di =

µac + bd

c2 + d2

¶

+

µbc − ad

c2 + d2

¶

i.

The number c−di which we just used, as relating to c+di, has a spec

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If a parallelogram is a rhombus the diagonals are, similar, Collinear, congruent, or perpendicular
Elena L [17]
Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.

In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.

Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.

Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.

Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.

The answer is congruent. I hope this helps :)
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Anna is 9 years old, and this year she received $10 from her aunt on her birthday. Her aunt has told
son4ous [18]

Answer:

M(y)=10y+10

Step-by-step explanation:

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Help please it’s due tomorrow.
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What so you need to know?
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Find the probability of picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet
schepotkina [342]

Step-by-step explanation:

picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.

There are 26 letters in  alphabet

number of consonants = 21  and number of vowels = 5

We need to pick 3 consonants from 21 consonants

Probability of picking 1 consonant from 26 alphabets = 21/ 26

after picking 1 consonant then number of consonant becomes 20

Probability of picking second consonant from 25 alphabets = 20/ 25

Probability of picking third consonant from 24 alphabets = 19/ 24

We need to pick 2 vowels  from 5 vowels

Probability of picking 1 vowel from remaining 23 alphabets = 5/ 23

Probability of picking second vowel from remaining 22 alphabets = 4/ 22

Now multiply all the probabilities

\frac{21}{26} *\frac{20}{25} *\frac{19}{24} *\frac{5}{23} *\frac{4}{22}

= 0.02022



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4 years ago
If triangle ABC is reflected across line m, the new coordinates will be located at A’(2, -4) B’(7, -7) C’(-2, -7).
Dennis_Churaev [7]

Answer:

the answer is false

Step-by-step explanation:

because the coordinates for B and Care wrong they should be

B(7,-9)

C(-2,-9)

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