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AfilCa [17]
2 years ago
11

Find the cube roots of 8i. Write the answer in a + bi form.

Mathematics
2 answers:
Murrr4er [49]2 years ago
8 0

Answer:

a0 =  ∛8 [ cos [ (pi/2)/3] +  i *sin [(pi/2)/3 ]  = ∛8 [ cos [ (pi/6)] +  i *sin [(pi/6) ] =

2 [ √3/2 + 1/2 * i ] =    √3  + 1i

 

a1  = ∛8 [ cos ( (pi/2)/3 + 2pi/3 )  + i sin ( (pi/2 )/3 + 2pi/3 ) ]   =

2 [ cos (5pi/6)  + i sin (5pi/6) ] =  2 [ - √3/2  +  (1/2)*i ]  =   - √3  +1i

 

a2  = ∛8 [ cos ( (pi/2)/3 + 4pi/3 )  + i sin ( (pi/2 )/3 + 4pi/3 ) ] =

2 [ cos(3pi/2) + i sin (3pi/2) ] =   2 [ -1 i ]  = -2i

like this

AnnZ [28]2 years ago
3 0

Answer:

It's B

Step-by-step explanation:

Just took the quiz

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If x/5+6=-14 then x equals
yanalaym [24]

Answer:

x = - 100

Step-by-step explanation:

Given

\frac{x}{5} + 6 = - 14 ( subtract 6 from both sides )

\frac{x}{5} = - 20

Multiply both sides by 5 to clear the fraction

x = 5 × - 20 = - 100

7 0
3 years ago
For which equation is x = 9 a solution? A. 3x – 7 = –34 B. x – 9 = 1 C. 2003-05-02-00-00_files/i0020000.jpg D. 4x + 5 = 41
Monica [59]
X=9


A) 3x-7=34
 3x= 34+7
 3x= 41
 x= 41/3
 

B) x-9=1
x=1+9
x=10


C) dude what is this


D) 4x+5=41
    4x=41-5
    4x=36
    x=36/4
    x=9 YAYY

Hope it helps!
#MissionExam001

7 0
3 years ago
What is the equation of the parabola with focus (3, 0) and directrix x = –3?
nikitadnepr [17]

Answer:

x = \frac{1}{12} y²

Step-by-step explanation:

Any point (x, y ) on the parabola is equidistant from the focus and the directrix

Using the distance formula, then

\sqrt{(x-3)^2+(y-0)^2} = | x + 3 |

Squaring both sides

(x - 3)² + y² = (x + 3)² ← expanding both sides

x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides

- 12x + y² = 0 ( subtract y² from both sides )

- 12x = - y² ( divide both sides by - 12 )

x = \frac{1}{12} y²

4 0
3 years ago
Read 2 more answers
There were 24 students running in a race. How many different arrangements of the first, second, and third place are possible?
krok68 [10]

Answer:9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Solve. 3 1/4 - 1 5/8
erik [133]

Step 1. Convert 3 1/4 to an improper fraction.

3 * 4 + 1/4 - 1 5/8

Step 2. Simplify 3 * 4 to 12

12 + 1/4 - 1 5/8

Step 3. Simplify 12 + 1 to 13

13/4 - 1 5/8

Step 4. Convert 1 5/8 to an improper fraction.

13/4 - 1 * 8 + 5/8

Step 5. Simplify 1 * 8 to 8

13/4 - 8 + 5/8

Step 6. Simplify 8 + 5 to 13

13/4 - 13/8

Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8

LCD = 8

Step 8. Make the denominators the same as the LCD

13 * 2/ 4 * 2 - 13/8

Step 9. Simplify. Denominators are now the same

26/8 - 13/8

Step 10. Join the denominators

26 - 13/8

Step 11. Simplify

13/8

Step 12. Convert to a mixed fraction

1 5/8


6 0
3 years ago
Read 2 more answers
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