**Understanding Pool Rack Perimeters:**The rack shown is used to set up the balls when beginning a game of pool. If the perimeter (in inches) of the rack is given by the polynomial $9x^2 - 12x + 21$, what is the length of one side? (Simplify your answer completely.)\[ (\_\_\_\_\_\_\_\_\_) \text{ in} \]**Visual Explanation:**The image displays a triangular rack used in pool, with billiard balls arranged inside. The focus here is on calculating the side length given the perimeter polynomial.**Mathematical Steps:**To find the length of one side, divide the polynomial by 3 (since a triangle has three sides):\[\text{Length of one side} = \frac{9x^2 - 12x + 21}{3} = 3x^2 - 4x + 7\]Thus, the length of one side of the pool rack is $3x^2 - 4x + 7$ inches.\[ (\_\_\_\_\_\_\_\_\_) \text{ in} \]

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Description: **Understanding Pool Rack Perimeters:**The rack shown is used to set up the balls when beginning a game of pool. If the perimeter (in inches) of the rack is given by the polynomial $9x^2 - 12x + 21$, what is the length of one side? (Simplify your

The given shape (rack) is in the form of an equilateral triangle. The perimeter of rack is = (9x2 -…

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The rack shown is used to set up the

Algebra and Trigonometry (6th Edition)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra

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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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**Understanding Pool Rack Perimeters:**

The rack shown is used to set up the balls when beginning a game of pool. If the perimeter (in inches) of the rack is given by the polynomial $9x^2 - 12x + 21$, what is the length of one side? (Simplify your answer completely.)

\[ (\_\_\_\_\_\_\_\_\_) \text{ in} \]

**Visual Explanation:**

The image displays a triangular rack used in pool, with billiard balls arranged inside. The focus here is on calculating the side length given the perimeter polynomial.

**Mathematical Steps:**

To find the length of one side, divide the polynomial by 3 (since a triangle has three sides):

\[
\text{Length of one side} = \frac{9x^2 - 12x + 21}{3} = 3x^2 - 4x + 7
\]

Thus, the length of one side of the pool rack is $3x^2 - 4x + 7$ inches.

\[ (\_\_\_\_\_\_\_\_\_) \text{ in} \]

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