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
mote1985 [20]
3 years ago
15

Simplify 10 over 8-5i

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
\frac{10}{8-5i}=\\
\frac{10}{8-5i}*\frac{8+5i}{8+5i}=\\
\frac{10*(8+5i)}{(8-5i)(8+5i)}=\\
\frac{80+50i}{64-25i^2}=\\
\frac{80+50i}{64+25}=\\
\frac{80+50i}{89}

so it is the second option
You might be interested in
Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
3 0
3 years ago
A number b less the quotient of a number k and 5
IgorC [24]
Equation: b-(k/5)
equation: b-(1/5k)
4 0
4 years ago
Read 2 more answers
A hexagon is graphed on a coordinate grid and then translated 4 units to the right and 3 units up. If one of the vertices of the
Elena L [17]

Answer:

(13 , 5)

Step-by-step explanation:

(9 + 4 , 2 + 3)  i.e. (13 , 5)

7 0
3 years ago
Which expression is equal to 2sqrt-32?
wariber [46]

Answer:

a

Step-by-step explanation:

2\sqrt{-32} \\=2\sqrt{(-1)(32)} \\=2\sqrt{-1}\sqrt{2^5} \\=2\sqrt{-1} \sqrt{(2^4)(2)} \\=2(2^2)i\sqrt{2} \\=8i\sqrt{2}

8 0
3 years ago
Answer quickly ill mark first actual answer brainliest
Sati [7]

Answer:

(3,3) to (-5,3) is 8, (-5,3) to (-5,-3) is 6, and (-5,-3) to (3,3) is 10. Hope this helps.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Luis draws 1 card from a deck, 39 times. Predict how many times he draws an ace.
    9·2 answers
  • The manager turns on the restaurants two neon lights at the same time both signs blink as they are turned on one sign blinks eve
    5·1 answer
  • Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
    10·2 answers
  • Which measure of center would you use to compare the symmetric populations represented by the box plots?
    12·2 answers
  • Whitout solving, whag can you tell about the solution to this equation? 1/2(b+14)=b+14/2
    11·2 answers
  • What is the slope intercept form for this graph ? Please answer !!
    6·1 answer
  • Given the following point on the unit circle, find the angle, to the nearest tenth of a degree, of the terminal side through tha
    13·1 answer
  • The sum of three consecutive odd numbers is 123. What is the smallest of the three numbers?
    9·2 answers
  • A clothes shop has some special offers.
    6·1 answer
  • What is the Pythagorean Therm state
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!