Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
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.
\[ (\_\_\_\_\_\_\_\_\_) \text{ in} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfa510ce-a779-4198-b3d3-c9e941c192c9%2F28e87db0-2986-44cd-8acf-3a0044c320a8%2F2qjz9c9_processed.png&w=3840&q=75)
Transcribed Image Text:**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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