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
satela [25.4K]
3 years ago
9

What is the quotient of 1+i/3+4i?

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer:

  • (7 - i) / 25

Step-by-step explanation:

<u>Given expression:</u>

  • (1 + i) / (3 + 4i)

<u>Multiply both sides by the conjugate of the denominator to get rid of the fraction:</u>

  • (1 + i)(3 - 4i) / (3 + 4i)(3 - 4i) =
  • (3 + 3i - 4i - 4i²) / (9 - 16i²) =
  • (3 - i + 4) / (9 + 16) =
  • (7 - i) / 25
a_sh-v [17]3 years ago
4 0

\\ \tt\longmapsto \dfrac{1+i}{3+4i}

  • Rationalize

\\ \tt\longmapsto \dfrac{(1+i)(3-4i)}{(3+4i)(3-4i)}

\\ \tt\longmapsto \dfrac{3-4i+3i-4i^2}{9-16i^2}

\\ \tt\longmapsto \dfrac{3-i+4}{9+16}

\\ \tt\longmapsto \dfrac{7-i}{25}

You might be interested in
On a piece of paper graph y&gt;=2x-3
Vesnalui [34]

Answer:

Omsk internet pra mim é um vídeo de um dia

7 0
3 years ago
Compare -2/3, -2/8<br> Write &lt;, &gt; or =<br> A. =<br> B. &lt;<br> C. &gt;
nadya68 [22]

Answer:

\boxed{\bold{< \ -\frac{2}{8}}}

Step-by-step explanation:

Find LCD of the two fractions

LCD = 24

Rewrite fractions

\bold{-\frac{16}{24} } ____ \bold{-\frac{6}{24} }

Just because 6 is smaller than 16, doesn't mean 6 isn't larger. If you have more of something, the portions will be smaller. If you have less of something, the portions will be bigger.

\bold{-\frac{2}{3} } < \bold{-\frac{2}{8} }

4 0
4 years ago
Answer please.tyyyyy
Kazeer [188]

Answer:

30=2r+r

r=5

Step-by-step explanation:

30=2r+r would be the answer for the first question because the red line, 30, is equal to the line 2r and r.

r=7.5 because 30=2r+r (combine like terms)➡️ 15=3r (divide both sides by 3)➡️  5=r

4 0
4 years ago
4) Screen printing a batch of shirts requires 3 minutes
OlgaM077 [116]

Answer:

I takes 30

Step-by-step explanation:

4 0
3 years ago
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
Other questions:
  • Which of the following approaches can be used to construct a parallelogram? Select one: a. Measure equal segments on parallel li
    13·1 answer
  • G verify that the divergence theorem is true for the vector field f on the region
    9·1 answer
  • Select the equation or inequality that matches the number sentence below.
    5·1 answer
  • The quotient of 5 times a number and 7 is equal to 10. What is the number?
    10·1 answer
  • What radius of a circle is required to inscribe a regular hexagon with an area of 64.95 cm2 and a apothem of 4.33 cm
    9·2 answers
  • Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of
    8·1 answer
  • Find the y-intercept and the x-intercept of the line 2x-4y=10
    14·1 answer
  • A taxi charges 2.50 plus .50 fee for each mile. If the ride costs 7.50 how many miles did he travel
    13·1 answer
  • Select the correct answer.
    9·1 answer
  • PLEASE AWNSEERRRRRRRRRRR wILL GIVE BRANILIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!