what is the distance between (0,-8) and (3,2)

Answers

Answer 1

Answer: [tex]\Large\boxed{Distance=\sqrt{109}}[/tex]

Explanation:

Given information

(x₁, y₁) = (0, -8)

(x₂, y₂) = (3, 2)

Given the distance formula

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the given formula

[tex]Distance=\sqrt{(3-0)^2+(2-(-8))^2}[/tex]

Simplify values in the parenthesis

[tex]Distance=\sqrt{(3)^2+(2+8)^2}[/tex]

[tex]Distance=\sqrt{(3)^2+(10)^2}[/tex]

Simplify the exponents

[tex]Distance=\sqrt{9+100[/tex]

Simplify by addition

[tex]\Large\boxed{Distance=\sqrt{109}}[/tex]

Hope this helps!! :)

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Related Questions

What state loses the most water from its system through consumption and irrigation?

Answers

Answer: I Have to say Colorado.

Explanation: Because 1, I heard on the Radio that their drought levels were through the roof. And maybe(This is just me), since they have a lot of Snow, the Snow sucks up water like a sponge, and compacts. Making it more difficult to get water.

Although coral reefs cover less than half a percent of the ocean's surface area, they are home to ________ of all marine species

Answers

Although coral reefs cover less than half a percent of the ocean's surface area, they are home to 25% of all marine species.

A coral reef is an underwater ecosystem characterized by reef-building corals. Coral Reefs are formed of colonies of coral polyps held together by carbonate.

Most coral reefs are built from stony corals, whose polyps cluster in groups.

Coral reefs protect coastlines from storms and erosion, provide jobs for local communities, and offer opportunities for recreation.

Coral reefs are are a source of food and new medicines. Over half a billion people rely upon reefs for food, income, and protection.

To know more about coral reefs here

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Write the quadratic equation in standard form:
2x^2+2x-2= 5x

Answers

Answer:

[tex]\displaystyle{2x^2-3x-2=0}[/tex]

Explanation:

The standard form of quadratic equation is [tex]\displaystyle{ax^2+bx+c=0}[/tex].

We are given the equation of [tex]\displaystyle{2x^2+2x-2=5x}[/tex]. All we have to do is to convert the given equation to the standard equation as shown above:

First, subtract both sides by 5x:

[tex]\displaystyle{2x^2+2x-2-5x=5x-5x}\\\\\displaystyle{2x^2+2x-2-5x=0}[/tex]

Now that should leave the right-hand side equal to 0. Then we evaluate the terms on the left-hand side while also in order of degree:

[tex]\displaystyle{2x^2+2x-5x-2=0}\\\\\displaystyle{2x^2-3x-2=0}[/tex]

Finally, we have the equation in standard form which is [tex]\displaystyle{2x^2-3x-2=0}[/tex].

An HR manager is asked to meet with upper management to discuss the proper way for new employees to be onboarded to the company. This task would fall under the main HR manager responsibility of A. employee advocacy B. policy formation and implementation C. service D. advice and counsel​

Answers

An HR manager is asked to meet with upper management to discuss the proper way for new employees to be onboarded to the company. This task would fall under the main HR manager's responsibility for policy formation and implementation. Thus the correct answer is B.

What is human resource management?

Human resource management refers to managing employees in an organization. It includes the process of hiring through recruitment and selection, training and development, performance appraisal, and so on.

When a new employee joins, the HR managers help them to understand the culture as well as the operations of the company by making them to understand the policy of the organization and proper implementation.

Therefore, option B  policy formation and implementation are appropriate.

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