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Welcome to the article Two buildings on opposite sides of a highway are tex 313 12 78 100 tex feet apart One building is tex 232 73 tex feet. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

Two buildings on opposite sides of a highway are [tex]313 - 12 + 78 + 100[/tex] feet apart.

One building is [tex]232 + 73[/tex] feet from the highway.

The other building is [tex]13 + 2 - 18[/tex] feet from the highway.

What is the standard form of the polynomial representing the width of the highway between the two buildings?

Answer :

Final answer:

The width of the highway between the two buildings, represented as a standard form of a polynomial, is 162 feet, which is obtained by subtracting distances from the highway to each of the buildings from the total distance across the highway.

Explanation:

The first step in solving this problem is to simplify the expressions given in the problem. The distance between the two buildings across the highway is 313 - 12 + 78 + 100 feet, which simplifies to 479 feet. Distance from the highway to the first building is 232 + 73 feet, simplifying to 305 feet, and to the second building is 13 + 2. 12 - 18, which simplifies to -3 feet. However, distance cannot be negative, so the correct distance is 30 - 18 = 12 feet.

Width of the highway is the difference between the total distance across the highway and the distances from the highway to each building. Therefore, it can be represented as 479 - 305 - 12 = 162 feet. As such, the standard form of the polynomial representing the width of the highway between the two buildings is 162.

Learn more about Polynomial Representation here:

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Rewritten by : Brahmana