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Elena-2011 [213]
3 years ago
7

Show the steps to simplify (-1+isqrt3))^3

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

8

Step-by-step explanation:

(-1 + i√3)³

Use binomial expansion:

(-1)³ + 3 (-1)² (i√3) + 3 (-1) (i√3)² + (i√3)³

Simplify:

-1 + 3i√3 − 3 (i√3)² + (i√3)³

-1 + 3i√3 − 3 (-3) + (-3i√3)

-1 + 3i√3 + 9 − 3i√3

8

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PLEASE HELP ASAP 30 POINTS ):
ladessa [460]

Answer:

c (0,-4)

Step-by-step explanation:

-5x+y = -4

4x - 4y =16

Solve the first equation for y since we are using substitution.

-5x+y = -4

Add 5x to each side

-5x+5x+y = -4+5x

y = 5x-4

Substitute this equation y = 5x-4 into the second equation.

4x -4(5x-4) = 16

Distribute the -4

4x - 4(5x) -4(-4) = 16

4x-20x +16 = 16

Combine like terms

-16x +16 =16

Subtract 16 from each side

-16x+16-16 = 16-16

-16x =0

Divide by -16

x=0


But we still need to find y

y = 5x-4

y = 5(0) -4

y = -4

5 0
4 years ago
The area of a rectangular painting is 8613 cm?.
andreyandreev [35.5K]

Answer:

The width is 87 cm

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

8613 = 99 * w

Divide each side by 99

8613 / 99 = 99 w /99

87 = w

The width is 87 cm

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3 years ago
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3 years ago
Can y’all help me I need help
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sorry I can't but maybe if you ask your teacher

3 0
3 years ago
How do you know that the sum of -2 3/4<br> and 5/9 rational?
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The sum of any two rational numbers is rational. Both of these numbers are rational, therefore adding them will give us another rational number.
8 0
4 years ago
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