Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highway. The other building is x^3 + 2x^2 - 18 feet from the highway. What is the standard form of the polynomial representing the width of the highway between the two building?

Answers

Answer 1
Answer:

Given:

Distance between two buildings = 3x^3- x^2 + 7x +100 feet apart.

Distance between highway and one building = 2x^2 + 7x feet.

Distance between highway and second building = x^3 + 2x^2 - 18 feet.

To find:

The standard form of the polynomial representing the width of the highway between the two building.

Solution:

We know that,

Width of the highway = Distance between two buildings - Distance of both buildings from highway.

Using the above formula, we get the polynomial for width (W) of the highway.

W=3x^3- x^2 + 7x +100-(2x^2 + 7x)-(x^3 + 2x^2 - 18)

W=3x^3- x^2 + 7x +100-2x^2-7x-x^3 -2x^2+18

Combining like terms, we get

W=(3x^3-x^3)+(- x^2 -2x^2-2x^2)+ (7x -7x)+(100 +18)

W=2x^3-5x^2+0+118

W=2x^3-5x^2+118

Therefore, the width point highway is 2x^3-5x^2+118.

Answer 2
Answer:

The correct standard form of the polynomial equation that represents the width of the highway between the two buildings is: 2x^3-5x^2+118.

Given:

Distance between the building: 3x^3-x^2+7x+100

Building 1 distance from highway: 2x^2+7x

Building 2 distance from highway: x^3+2x^2-18

To find the Width of the highway between two building:

Add the distances of the buildings from the highway.

Let's call the width of the highway "w"

Distance between the two buildings:

= (2x^2 + 7x) + (x^3 + 2x^2 - 18)

= x^3+ 4x^2+7x-18

Width of the highway:

w = 3x^3-x^2+7x+100 -(x^3+4x^2+7x-18)\n\n= 3x^3-x^2+7x+100 -x^3-4x^2-7x+18\n\n = 2x^3-5x^2+118

The polynomial equation is 2x^3-5x^2+118.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Which of the following equations has an infinite number of solutions?A. 3x – 3 = –4x
B. 2y + 4 – y = 16
C. 7x + 5 = 4x + 5 + 3x
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Answers

The equation 7x + 5 = 4x + 5 + 3x has an Infinite number of solutions. which is the correct answer would be option (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have to determine which equation has an infinite number of solutions

As per option (C),

⇒ 7x + 5 = 4x + 5 + 3x

Combine comparable terms to simplify both sides of the problem.

You have become left with 7x+5 = 7x+5.

On both sides, subtract 7x.

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Thus, this equation has an Infinite number of solutions.

Hence, the correct answer would be an option (C).

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The answer is C

Simplify both sides of the equation and combine like terms.
You’re left with 7x+5 = 7x+5
Subtract 7x on both sides
Leaves you with
5=5
Subtract 5 on both sides
0=0
Infinite number of solutions.

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Answers

The formula for finding single interior angles is 180(n-2)/n

Therefore in a decagon (10 sides), there are 144 degrees is one interior angle.
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