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NeX [460]
3 years ago
12

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

Mathematics
2 answers:
otez555 [7]3 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]3 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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It was recently estimated that domestic vehicles outnumber foreign vehicles by about seven to three. If there are 3100 vehicles
notka56 [123]

Answer:

feQEf

Step-by-step explanation:

FqwDXZ

3 0
2 years ago
This would be a big help so plzzz help me =/
nikdorinn [45]

The correct order would be:

5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3

First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.

3/32 x 4 = 3/8 = .375

3/4 x 2 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3/8 x 4 = 3/2 = 1.5

5/64 x 3 = 5/32 = .156

3.75 x 3 = 11.25

1/16 x 3 = 3/16 = .1875

7/16 x 3 = 21/16 = 1.31

3 3/8 x 3 = 81/8 = 10.125

11/64 x 4 = 11/16 = .687

Now we can use those to put in order.

5/64 x 3 = 5/32 = .156

1/16 x 3 = 3/16 = .1875

3/32 x 4 = 3/8 = .375

11/64 x 4 = 11/16 = .687

7/16 x 3 = 21/16 = 1.31

3/4 x 2 = 3/2 = 1.5

3/8 x 4 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3 3/8 x 3 = 81/8 = 10.125

3.75 x 3 = 11.25

Which if you are looking for without the extra terms, you can check the answer at the top.

3 0
3 years ago
Ill give brainliest to whoever answers 1st
salantis [7]

Answer:

0, 5, 8, 9, 8, 5, 0

Step-by-step explanation:

4 0
2 years ago
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What is the slope of the line with the equation 3x = -y − 5
prisoha [69]

This equation is written in <em>standard form</em>, so we need to change it into <em>slope-intercept form.</em>

<em />

3x = -y - 5

3x + y = -y + y - 5

3x + y = -5

3x - 3x + y = -5 - 3x

y = -5 - 3x

y = -3x - 5

The slope is classified as "m" in this type of equation, so, the slope is -3.

Best of Luck!

8 0
3 years ago
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What is 3 to the power of -4 as a fraction?
ivolga24 [154]
The answer is 1/81 :)
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