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zaharov [31]
3 years ago
6

2 Points

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0
The answer is false, which would be B
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Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
3 years ago
the three median of a triangle intersect as a point. which measurements could represent the segments of one of the medians? 2 an
topjm [15]
2 & 3 is your answer
6 0
4 years ago
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 173 units2 253 units2 277 units2 32
zubka84 [21]
Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24

Area of two traingles = 2(24) = 48

Now, Area of a rectangle = 25 * 5 = 125

Now, Total area of the figure = 125 + 48 = 173 units2

In short, Your Answer would be Option A

Hope this helps!
8 0
3 years ago
Read 2 more answers
Que es el concepto de funcion?
den301095 [7]

El concepto básico de la función es que puede tomar cualquier número de valores, pero puede devolver solo un valor. La función es como una máquina en la que podemos darle una entrada / algo y obtener una salida o un conjunto de salidas. La entrada o el conjunto de entradas se llama dominio.


 

Sorry I Don't Speak Spanish That Good

5 0
3 years ago
The Caesar Cipher of the sentence "THIS MESSAGE IS TOP SECRET."
vagabundo [1.1K]

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

"THIS MESSAGE IS TOP SECRET."

We need to use the Caesar cipher.

As in general we always take a shift of 3 keys in Caesar cipher.

so, According to shift of 3 keys it becomes,

T→W

H→K

I→L

S→V

M→P

E→H

A→D

G→J

O→R

C→F

R→U

P→S

So, it can be written as

"THIS MESSAGE IS TOP SECRET."

WKLVP HVVDJ HLVWR SVHFU  HW.

we make a set of 5 letters in a word after Caesar cypher.

Hence, Option 'a' is correct.

8 0
3 years ago
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