17. Solve for for x. M (10x - 45) N R Р (6x - 1)

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Looks confusing in the way you put it.

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If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____. 5/13 1(2/3) 2(3/5) 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z=2.56+0.64i\to a=2.56;\ b=0.64\\\\|z|=\sqrt{2.56^2+0.64^2}=\sqrt{6.9632}=\sqrt{\dfrac{69632}{10000}}=\sqrt{\dfrac{4096\cdot17}{100}}\\\\=\dfrac{64\sqrt{17}}{100}=0.64\sqrt{17}\approx2.6=2\dfrac{3}{5}$

3 0

3 years ago

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aleksley [76]

To find k, divide both sides by 1/4

K = 2/3 / 1/4

When dividing by a fraction flip the second fraction over then multiply:

K = 2/3 x 4/1 = (2 x 4) / (3 x 1) = 8/3

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3 years ago

The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch Isla is building a model of

Effectus [21]

Answer: The actual model is 3.055 feet tall.

Step-by-step explanation:

Given: The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch .

The height of the model of the statue = $\dfrac{1}{100}\times\text{ (Height of actual model)}$

$=\dfrac{1}{100}\times305.5\\\\=3.055\text{ feet}$

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3 years ago

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Ne4ueva [31]

11:35 - 12:00 = 25 minutes
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so 25 minutes + 1 hour and 30 minutes = 1 hour and 55 minutes

answer: 1 hour and 55 minutes

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4 years ago

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zhenek [66]

Answer:the rock would be at a point 12 m from water

Step-by-step explanation:

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3 years ago