1. the lengths of the sides of a triangle are represented by the expressions: 2 ...

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October 2022 1 4 Report

1. the lengths of the sides of a triangle are represented by the expressions: 2 x 2 + 3 ,4 x 2 - 3x ,and 4x + 5. what is the perimeter of the triangle?
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2. You ordered a table equipment. if c represents the cost of one chair and p is the cost of one pad. Write an expression for the total cost of 5 chairs and 6 pads.
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Alnair

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1. The lengths of the sides of a triangle are represented by the expressions: 2x² + 3, 4x² - 3x, and 4x + 5. What is the perimeter of the triangle?

$\boxed{\begin{array}{c} {\small{\textsf{We know that the perimeter of a triangle}}} \\ {\small{\textsf{ is the sum of the length of its three sides, }}} \\\\ {\large{\sf{P = s_1 + s_2 + s_3}}} \\\\ {\small{\textsf{ We plug in the length of the sides }}} \\ {\small{\textsf{ and solve for the perimeter. }}} \\\\ {\sf{P = (2x^2 + 3) + (4x^2 - 3x) + (4x + 5)}} \\\\ {\sf{P = (2x^2 + 4x^2) + (- 3x + 4x) + (5 + 3)}} \\\\ {\green{\sf{P = (6x^2 + x + 8) \: units}}} \end{array}}$

2. You ordered a table equipment. If c represents the cost of one chair and p is the cost of one pad. Write an expression for the total cost of 5 chairs and 6 pads.

$\quad \boxed{\begin{array}{c} {\small{\textsf{ Representing c as the cost of one chair, }}} \\ {\small{\textsf{ the cost of five chairs is }}} \\\\ {\sf{ c + c + c + c + c = 5c }} \\\\ {\small{\textsf{ Representing p as the cost of one pad, }}} \\ {\small{\textsf{ the cost of six pads is }}} \\\\ {\sf{ p + p + p + p + p + p = 6p }} \\\\ {\small{\textsf{ Thus, the expression for the }}} \\ {\small{\textsf{ total cost of five chairs and six pads is }}} \\\\ {\large{\green{\sf{ 5c + 6p }}}} \end{array}}$

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