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
NeX [460]
4 years ago
12

How can you rewrite the expression (8-5i)^2 in the form a+bi?

Mathematics
2 answers:
otez555 [7]4 years ago
8 0
(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

i^2=-1

So

= 64-80i+25(-1)

=64-25-80i

= <em><u>39 - 80i</u></em>

which is your answer :)
Natalija [7]4 years ago
8 0
(8 - 5i)²
(8 - 5i)(8 - 5i)
64 - 40i - 40i + 25i²
64 - 80i + 25i²
64 - 80i + 25(-1)
64 - 25 - 80i
39 - 80i
You might be interested in
6000 for 6 years at 81/2 % compounded daily will grow to a) $9.990.02 b)9.060.00 c) 9788.81 d)9991.15
Flura [38]

Answer:

d)9991.15

Step-by-step explanation:

We have a sum of money ($6000) compounded daily at an annual interest rate of 8.5% for 6 years.

If the interest is compound daily, and we take a m=365 days a year (or 365 subperiods m), the daily nominal interest rate is:

i_d=\dfrac{i}{m}=\dfrac{0.085}{365}=0.000232877

Then, we can express the final valueo of $6000 compounded daily at an annual interest rate of 8.5% for 6 years as:

FV=IV\left(1+\dfrac{i}{m}\right)^{n\cdot m}\\\\\\FV=6000(1+0.000232877)^{6\cdot 365}\\\\FV=6000(1.000232877)^{2190}\\\\FV=6000\cdot1.665192322\\\\FV\approx9991.15

4 0
3 years ago
Simplify (-32) ÷ (-4)
Keith_Richards [23]

\bold{Hey\ there!}

\bold{Guide\downarrow}

\bold{Negative} & \bold{Negative} =\bold{Positive}

\bold{Positive} & \bold{Negative} = \bold{Negative}

\bold{Positive} & \bold{Positive} = \bold{Positive}

\bold{Negative} & \bold{Positive} = \bold{Negative}

\bold{(-32)\div(-4)}

\bold{=32\div4}

\bold{=8}

\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

3 0
3 years ago
Read 2 more answers
4 x 979 estimate then find the product need help
WARRIOR [948]
3916 so estimated it will be 3900
4 0
3 years ago
Read 2 more answers
Show work on this pls
Inessa [10]

Answer:

largest angle measures 108°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

8x - 6 + 108 + 14 = 180, simplify left side

8x + 116 = 180 ( subtract 116 from both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Thus

∠ U = 8x - 6 = 8(8) - 6 = 64 - 6 = 58°

Then the largest angle measures 108° ( ∠ B )

8 0
3 years ago
I need help please ...,,,,!!!!
SSSSS [86.1K]

Answer:

480

Step-by-step explanation:

just go by if it's closer to 470 or 480

5 0
3 years ago
Other questions:
  • How is the process of multiplying fractions different from the process of adding fractions
    6·2 answers
  • What is the relationship between variance and standard deviation?
    9·1 answer
  • HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy whic
    7·1 answer
  • What is the complete factorization of 2x2 − 11x − 21?
    9·1 answer
  • Select all equations that have graphs with the same y-intercept.
    10·2 answers
  • I NEED HELP ASAP
    11·1 answer
  • HELP!!!!! PLEASE!!!!!!! DUE IN LESS THEN 20 MIN!!!!!!!!!!!!<br> BRAINLIEST!!
    15·1 answer
  • Please Help!
    13·1 answer
  • Roll a fair six sided die 1000 times. Out of 1000 rolls how many times an even number
    15·2 answers
  • Find the slope of the line through the given points (1,1) (4,-1)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!