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

Answers

Answer 1

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].


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Which term describes a sphere that has the same surface area as the earth's spheroid?

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authalic sphere describes a sphere that has the same surface area as the earth's spheroid.

Cartographers use a value for the spherical circumference of the Earth called the authalic sphere. A real (meaning "area-preserving") sphere is a sphere with the same surface area as the oblate ellipsoid used.

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When did global population start to increase steeply?​

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

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

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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.

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

Answers

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!! :)

Please let me know if you have any questions

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