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scZoUnD [109]
3 years ago
15

What answer is this?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

option B

\frac{31}{50}-\frac{4}{25} i

Step-by-step explanation:

Given in the question a complex fraction

<h3>Step1</h3>

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})

<h3>Step2</h3>

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

\frac{30+24i-40i-32i²}{36-64i^{2} }

<h3>Step3</h3>

Simplify the powers of i, specifically remember that i² = –1.

\frac{62-16i}{36+64}

<h3>Step4</h3>

\frac{62}{100}-\frac{16i}{100}

<h3>Step5</h3>

simply

\frac{31}{50}-\frac{4}{25}i

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Goshia [24]

Answer:

i believe the fist one is a and second is b

Step-by-step explanation:

lol hope it helped u

3 0
3 years ago
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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

(x^3+x^2)+(4x+4)

We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

(x+2i)(x-2i)

Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
PLEASE HELP! I WILL MARK TOU AS BRAINLEIST!
san4es73 [151]

Answer:

a.Z(-2,1)

b.Z(1,1)

c.Z(-3,2)

Step-by-step explanation:

z(-2,3)

Imagine this point on a graph.

Translate it down two units :

the x stays -2, by going down the y decreases 2 so 3-2=1

Z(-2,1)

Translate Right three units : I'm assuming that we use the answer from the first translation

Z(-2,1)

The y doesn't change this time the x increases 3 since we're moving to the right.

Z(1,1)

Translate up 1 and left 4:

Z(1,1)

by moving up one we have Z(1,2) then by moving 4 to the left we get Z(-3,2)

Hope this helps :)

6 0
3 years ago
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What time is 5 3/4 hours after 11:32 pm?
elixir [45]

11:32 pm + 5 hours= 4:32pm

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MakcuM [25]
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