1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solmaris [256]
3 years ago
13

- 3 - 4i" alt=" - 3 + 5i \div - 3 - 4i" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0

Answer:

\frac{-11}{25}+\frac{-27}{25}i given you are asked to simplify

\frac{-3+5i}{-3-4i}

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is \frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i

You might be interested in
How do you interpret the value of the mean or the median in a situation
natka813 [3]

Answer:

Adding all the numbers together and dividing by the number of numbers

Example:

1, 3, 5, 6, 6, 6, 8, 8, 35, 46

Adding them together results in 124

124 divded by the number of numbers is 124 / 10 = 12.4

So the mean / median in this example is 12.4

(I think, hopefully this helps and I hope you have a nice day!)

3 0
2 years ago
36 rows of 27 trees were planted in the orchard. how many total trees were planted in the orchard ​
kherson [118]

Answer:

972 trees

Step-by-step explanation:

36 times 27

8 0
3 years ago
Read 2 more answers
Help me! Pls! I put the points high up I will like and mark brainliest! Promise! Pls help me!
Gemiola [76]

Answer: a. 6 rows 6 people per row, 9 rows 4 people in each row, 36 rows 1 person per row, 18 rows 2 people per row, 12 rows 3 people per row, 9 rows 4 people per row

Step-by-step explanation: 4 rows 9 people, 3 rows 12 people

8 0
3 years ago
1. A set is said to be a singleton set,ig<br><br><br><br><br><br><br>a) n (A)=1 <br>b) n (A)=0​
Dimas [21]
The answer to the question is a
8 0
2 years ago
8th Grade Math Inequalities- A country's mint has a rule that the weight of a certain coin must be within 0.002 gram of 3.00 gra
devlian [24]

We have been given that a country's mint has a rule that the weight of a certain coin must be within 0.002 gram of 3.00 grams to be released into circulation.

Upon expressing this information on an inequality, we get the diagram as shown in the attached file.

We can express it as an inequality as shown below:

\left | x-3 \right |\leq 0.002

where x represents the weight of a coin that the country's mint will allow to be released into circulation.

Upon solving this inequality, we get:

\left | x-3 \right |\leq 0.002\\\-0.002\leq x-3\leq 0.002\\3-0.002\leq x\leq 3+0.002\\2.998\leq x\leq 3.002\\

Therefore, least weight of a coin is 2.998 and greatest weight of coin is 3.002.

7 0
3 years ago
Other questions:
  • Don't know what to do :\\
    15·1 answer
  • 1. Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?
    12·2 answers
  • Fraction answer 21/3+13/4
    14·1 answer
  • During a semester, a student received scores of 76, 80, 83,
    15·1 answer
  • 3y-6+7y-4y i need help
    14·2 answers
  • 2. 15 x 18 + 12 ÷ 3 + 9
    6·1 answer
  • Compare using &lt; or &gt; or =<br><br><br> -15____-21
    10·1 answer
  • I will give extra points please help
    8·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    14·2 answers
  • A coin is thrown 3 times. What is the probability that at least one head is thrown?.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!