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Home » First term: \(a_1 = 5\). - AMAZONAWS

First term: \(a_1 = 5\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 #### 785.4

📌 A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 meters, find the dimensions of the rectangle.

📌 Perimeter \( P = 2(w + 3w) = 8w \).

📌 Set up the equation: \( 8w = 48 \).

📌 Solving for \( w \), \( w = 48/8 = 6 \) meters.

📌 Length = \( 3 \times 6 = 18 \) meters.

📌 Therefore, the dimensions are 6 meters by 18 meters.

📌 #### 6 meters, 18 meters

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f(2) &= 8a + 4b + 2c + d = -1 \\
f(3) &= 27a + 9b + 3c + d = 5 \\
f(4) &= 64a + 16b + 4c + d = 11 \\
Subtract consecutive equations to eliminate $ d $:
$ (8a + 4b + 2c + d) - (a + b + c + d) = -1 - 3 \Rightarrow 7a + 3b +...
$ (27a + 9b + 3c + d) - (8a + 4b + 2c + d) = 5 + 1 \Rightarrow 19a + 5...
$ (64a + 16b + 4c + d) - (27a + 9b + 3c + d) = 11 - 5 \Rightarrow 37a...
Now subtract to eliminate $ c $:
Subtract: $ (9a + b) - (6a + b) = 0 - 5 \Rightarrow 3a = -5 \Rightarro...
Substitute into $ 6a + b = 5 $:

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