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kolbaska11 [484]
3 years ago
7

Can someone help me

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0
Im pretty sure number 15 is D
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Which of the following are square roots of —8 + 8i/3? Check all that apply.
8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

(\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

\frac{48}{b^2}-b^2=-8

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = \frac{4\sqrt{3}}{b}

For b = ±2i,

a = \frac{4\sqrt{3}}{\pm2i}

  = \pm\frac{2i\sqrt{3}}{(-1)}

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But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

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3 years ago
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8_murik_8 [283]

y-intercept: 8

slope: 1/2

equation: 1/2x + 8

Hope this helps! :)

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when Apple sells their iPads they increase the price $50 from what it cost then to actually make the iPads one Apple Store sold
Anvisha [2.4K]
First things you have to do is figure out how much they increased the iPads by:

$50 • 10 = $500

They increased the iPad price by $500.

Subtract the total amount from the iPad price:

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The actual price of 10 iPads, without an increase is $4,500

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Answer:

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Step-by-step explanation:

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