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Home » Multiplica la segunda ecuación por 3: \( 12x - 3y = 15 \). - AMAZONAWS

Multiplica la segunda ecuación por 3: \( 12x - 3y = 15 \). - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 A line passes through the points (1, 2) and (4, 8). Find the slope of the line.

📌 Slope \(m\) is calculated by:

📌 \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{4 - 1} = \frac{6}{3} = 2 \]

📌 If \(\sin(\theta) = \frac{3}{5}\), and \(\theta\) is in the first quadrant, find \(\cos(\theta)\).

📌 Using the Pythagorean identity:

📌 \[ \sin^2(\theta) + \cos^2(\theta) = 1 \]

📌 \[ \cos^2(\theta) = 1 - \frac{9}{25} = \frac{16}{25} \]

📌 \[ \cos(\theta) = \frac{4}{5} \]

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