To determine which equation represents the hanger model, we need to analyze the options provided and see which one fits the context of a hanger model typically used in algebra, often representing a balance or an equation we are trying to solve.
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2r + 4 = 14: This equation indicates that two times some variable \( r \) plus 4 equals 14.
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2r − 4 = 14: This tells us that two times some variable \( r \) minus 4 equals 14.
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2 + r + 4 = 14: This option seems to be less standard, as it adds 2 and 4 to \( r \), suggesting 6 plus \( r \) equals 14.
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2r + 4: This is not an equation at all; it is simply an expression.
To find the correct answer based on typical hanger model representations (which often balance weights or variables), the most fitting equation would typically have a form showing a total (like 14) as a sum or difference of components.
Among the provided options, 2r + 4 = 14 (first option) is the most likely to represent a hanger model, as it sets a total on one side (14) with weights or variables (2r + 4) on the other side, which resembles a standard balancing equation.
Final Answer: 2r + 4 = 14