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2 years ago

What is the quotient of the complex number 4-3i divided by its conjugate?

Mathematics

1 answer:

bazaltina [42]2 years ago

3 0

9514 1404 393

Answer:

0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

$\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}$

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<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

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2 years ago

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pickupchik [31]

Answer:

318 cm.

Step-by-step explanation:

Let x represent the distance between Bill and fulcrum.

We have been given that Laura has a mass of 60 kg and is sitting 265 cm from the fulcrum of a seesaw. Bill has a mass of 50 kg.

To balance the seesaw, the product of Laura's weight and her distance from fulcrum of seesaw should be equal to the product of Bill's weight and his distance from fulcrum of seesaw as:

$50\text{ kg}\cdot x=60\text{ kg}\cdot 265\text{ cm}$

$\frac{50\text{ kg}\cdot x}{50\text{ kg}}=\frac{60\text{ kg}\cdot 265\text{ cm}}{50\text{ kg}}$

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Therefore, Billy should be 318 cm far from the fulcrum to balance the seesaw.

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