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Home » identify the scale factor used to graph the image below - GetMeFoodie

identify the scale factor used to graph the image below - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Each such pair gives a unique $(x,y)$:

📌 We must check for duplicate solutions. But each factor pair $(a,b)$ gives a distinct $(x,y)$, because $a$ and $b$ determine $x$ and $y$ uniquely.

📌 For example, $(a,b)$ and $(b,a)$ would give different $x$ unless $a = b$. But since $a$ and $b$ are interchangeable via the identity, but each ordered pair is counted once. However, in our setup, each ordered pair $(a,b)$ such that $ab = 2025$ is considered. But since $x$ and $y$ depend on $a$ and $b$ linearly, and $a$ ranges over all divisors, including both positions, we must avoid double-counting? No — each ordered pair $(a,b)$ with $ab = 2025$ is distinct and gives one solution.

📌 Each gives a unique lattice point. For instance:

📌 $a = 1$, $b = 2025$: $x = 1013$, $y = 1012$

📌 $a = 3$, $b = 675$: $x = 339$, $y = 336$

📌 $a = 9$, $b = 225$: $x = 117$, $y = 108$

📌 $a = 15$, $b = 135$: $x = 75$, $y = 60$

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