### Geometric Wall Hanging ProjectThe illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegs $ p $ placed evenly around the ring and the number of yarn segments $ s $ that crisscross the ring is given by the formula:\[ s = \frac{p(p-3)}{2} \]#### ProblemHow many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1.$ p = \_\_\_\_\_\_\_\_\_\_ $ pegs### Diagram ExplanationThe image shows a circular wooden ring with multiple pegs placed evenly around the circumference. Yarn is stretched across the ring in a geometric pattern, forming a complex network of crisscrossing segments. Each yarn segment represents a connection from one peg to another, creating intricate geometric shapes within the circle. The example illustrates the concept of calculating the number of yarn segments needed given a certain number of pegs.

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The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegsp placed evenly around the ring and the number of yarn segments s that crisscross the ring is given by the formula s = PlP - 3) 2. How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1. p = pegs

The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegsp placed evenly around the ring and the number of yarn segments s that crisscross the ring is given by the formula s = PlP - 3) 2. How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1. p = pegs

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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### Geometric Wall Hanging Project

The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegs $ p $ placed evenly around the ring and the number of yarn segments $ s $ that crisscross the ring is given by the formula:

\[ s = \frac{p(p-3)}{2} \]

#### Problem
How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1.

$ p = \_\_\_\_\_\_\_\_\_\_ $ pegs

### Diagram Explanation
The image shows a circular wooden ring with multiple pegs placed evenly around the circumference. Yarn is stretched across the ring in a geometric pattern, forming a complex network of crisscrossing segments. Each yarn segment represents a connection from one peg to another, creating intricate geometric shapes within the circle. The example illustrates the concept of calculating the number of yarn segments needed given a certain number of pegs.

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