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
JulsSmile [24]
3 years ago
15

Simplify the expression

i}{2i}" alt="\frac{-5+i}{2i}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
lbvjy [14]3 years ago
5 0

Multiply by the conjugate and simplify.

1/2 + 5i/2

Kryger [21]3 years ago
4 0

\text{We know}\ i=\sqrt{-1}\to i^2=-1

\dfrac{-5+i}{2i}=\dfrac{-5+i}{2i}\cdot\dfrac{i}{i}=\dfrac{-5i+i^2}{2i^2}=\dfrac{-5i+(-1)}{2(-1)}=\dfrac{-5i-1}{-2}\\\\=\dfrac{-5i}{-2}+\dfrac{-1}{-2}=\boxed{\dfrac{1}{2}+\dfrac{5}{2}i}

You might be interested in
Given the speeds of each runner below, determine who runs the fastest.
Lesechka [4]

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

7 0
3 years ago
What is the area of this parallelogram?
andre [41]
Area=84 m^2
area of the triangle= 1/2*4*7=14
the area of the other triangle is also 14.
area of rectangle=8*7=56
56+14+14=84 m^2
5 0
3 years ago
Read 2 more answers
10. A nursery owner buys 5 panes of glass to
asambeis [7]
14.35/5= $2.85 per pane of glass
2.85*2= $5.70
8 0
3 years ago
Find the product. Express your answer as a mixed number in simplest form.<br><br> 2 1/6 × 4 1/2
serg [7]

Answer: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

5 0
3 years ago
The median of the data 20, 30, 40, 10, 15, 25, 35
lapo4ka [179]

Answer:

25

Step-by-step explanation:

20, 30, 40, 10, 15, 25, 35

Put the data in order from smallest to largest

10,15,20, 25,30,35, 40

The median is the middle

There are 7 pieces of data so the 4th piece is in the middle

10,15,20,     25,   30,35, 40

25 is in the middle so it is the median

7 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the average of 7,081 and 8,890?
    7·1 answer
  • You have been selected by the member of your eighth grade team to participate in a one mile race on field day. Another student f
    12·1 answer
  • Tigers basketball team scores 57.20 points per game. Ramon said that the tigers score 57.2 points per game. Is Ramon correct? Ex
    11·1 answer
  • What is the slope of the line represented by the equation 5x – 4y = 24?
    13·2 answers
  • Which equation could be used to solve the problem? The Petersons' new car can go 32 miles on a gallon of gasoline. At that rate,
    12·1 answer
  • The lines shown below are parallel. If the green line has a slope of
    6·1 answer
  • Bob got 8 presents 1/2 flew away how many do he have?
    9·1 answer
  • Find the coordinates of the vertex
    13·1 answer
  • PLZZZ FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
    6·1 answer
  • Stuck on this problem.. Help needed! (will mark as brainliest)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!