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
Elodia [21]
3 years ago
14

Evaluate the expression 1 + 3 i/5 i and write the result in the form a + b i .

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:   \bold{\dfrac{3}{5}-\dfrac{1}{5}}i

<u>Step-by-step explanation:</u>

Rationalize the denominator. Then separate into the a & b-components.

\dfrac{1+3i}{5i}\bigg(\dfrac{i}{i}\bigg)\quad =\quad \dfrac{i+3i^2}{5i^2}\quad =\quad \dfrac{i+3(-1)}{5(-1)}\quad =\quad \dfrac{i-3}{-5}\quad =\quad \dfrac{3-i}{5}\\\\\\=\large\boxed{\dfrac{3}{5}-\dfrac{1}{5}i}

You might be interested in
A game box for video games is shaped like a rectangular prism what is the surface area of the game box
tiny-mole [99]
Jesus will bless ur soul and THAT is a promise
5 0
3 years ago
Pleaseeee help me like I figured one out I just don’t know what the other one is
Fiesta28 [93]

Answer:

Triangle BCA and Triangle KIJ are congruent by SAS rule

7 0
3 years ago
Miguel babysits for 3 hours and earns $15. Which represents the unit rate?
gogolik [260]

The unit rate is $/Hr.  Since the hours are the unit being considered.


To find the unit rate, divide both sides by three

(Let x = hourly rate)

3x = 15

x = 5


Miguel Makes $5 per Hour


8 0
2 years ago
Jenifer needs to purchase a computer for her company price of the computer is c
VladimirAG [237]

If you provide more information then I could try to help :)

8 0
3 years ago
Examine the graphs and match each one with the correct coordinate rotation. You should match one graph with one rule.
irinina [24]
A is with b d with a c with e
8 0
3 years ago
Other questions:
  • Marquis is redecorating his Bedroom. What could Marquis use the area formula to find? (qusetion is:WHAT DOES "Use The Area Formu
    11·2 answers
  • BRAINLY PLUS 100 points
    13·2 answers
  • Which three-dimensional object is formed when the shape is rotated about the axis as shown?
    6·1 answer
  • Maria decided to take her family out for dinner at a restaurant the total cost was $96.00 She decided to leave the waiter a tip
    13·1 answer
  • Which values from the set -6, -4, -3, -1, 0, 2 satisfy this inequality?
    13·1 answer
  • I'm not sure if I understand
    14·1 answer
  • I need help!! Please the first drop down are (area,diameter,radius) and the second drop down are (1/3,1/2,2,3) and the last drop
    12·1 answer
  • This is for a puzzle in math that i dont understand whats going on.. at all.
    13·1 answer
  • Please I really need help
    5·1 answer
  • Find u. v.<br> U V=<br> (8, 2)<br> = (-6, 3)<br> U =<br> V =
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!