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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
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Jan buys 5 yards of blue fabric then she buys 2 feet of red fabric and 4 feet of green fabric how many inches of fabric does Jan
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6 0
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Sally uses 5 1/5 of clay to make a set of four pots that are exactly the same.
ki77a [65]

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1 3/10

Step-by-step explanation:

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5 0
3 years ago
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
DIA [1.3K]
<h3><u>Answer:</u></h3>

The circumference of a circle with diameter of 98 in. is about 308 in.

<h3><u>Step-by-step explanation:</u></h3>

<u>We know the diameter. Using the diameter, we can find the circumference.</u>

  • => Diameter = 98 in.
  • => Radius = 98/2
  • => Radius = 49 in.

<u>Circumference = 2πr</u>

  • => 2 x 22/7 x 49
  • => 2 x 22 x 7
  • => 308 in.
<h3><u>Conclusion:</u></h3>

Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.

Hoped this helped.

BrainiacUser1357

6 0
3 years ago
Plz hurry!!!! How do you find it?
Sloan [31]
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3 years ago
If sin x =cos 60° what is the value of x<br>​
GREYUIT [131]

Answer:

the answer is 30

Step-by-step explanation:

cos60=1/2=>sinx=1/2=>x=30

7 0
3 years ago
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