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Alona [7]
3 years ago
9

Which complex number is a distance of sqrt17 from the origin on the complex plane?

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Let z=x+iy be a complex number. The distance from this complex number to the origin is

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

Consider all options:

A. z=2+15i, then \sqrt{2^2+15^2}=\sqrt{229}.

B. z=17+i, then \sqrt{17^2+1^2}=\sqrt{290}.

C. z=20-3i, then \sqrt{20^2+(-3)^2}=\sqrt{409}.

D. z=4-i, then \sqrt{4^2+(-1)^2}=\sqrt{17}.

Answer: correct choice is D.

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Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E
emmainna [20.7K]

The experiment is the development of a new soft drink

  • A possible outcome is "Prefer this new drink"
  • A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
  • A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

  • Experiment: Children vaccination
  • Outcome: Outcome that a parent supports parent should have their children vaccinated
  • Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

Read more about probability at

brainly.com/question/251701

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I’m having a hard time understanding substitution. Please help!
Vikentia [17]

b_1=\frac{2A}{h}-b_2

Step-by-step explanation:

Given expression is;

A=\frac{h(b_1+b_2)}{2}

Solving for b_1

Multiplying both sides by 2

2*A=\frac{h(b_1+b_2)}{2}*2\\2A=h(b_1+b_2)

Dividing both sides by h

\frac{2A}{h}=\frac{h(b_1+b_2)}{h}\\\frac{2A}{h}=b_1+b_2

Subtracting b_2 from both sides

\frac{2A}{h}-b_2=b_1+b_2-b_2\\\frac{2A}{h}-b_2=b_1\\b_1=\frac{2A}{h}-b_2

b_1=\frac{2A}{h}-b_2

Keywords: division, subtraction

Learn more about subtraction at:

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  • brainly.com/question/11150876

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