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Home » From Apache Fields to Your Plate: The Ultimate Carne Apache Revelation! - Upplift

From Apache Fields to Your Plate: The Ultimate Carne Apache Revelation! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Total integer points: \(2 + 8 + 8 + 2 = 20\).

📌 Thus, the number of integer coordinate points on the circle is:

📌 \boxed{20}

📌 Question:** A biologist studying the genetic diversity of plants is analyzing a regular tetrahedron with vertices at \((0, 0, 0)\), \((1, 0, 0)\), \((0, 1, 0)\), and a fourth vertex \((x, y, z)\) where \(x, y, z\) are integers. Find the coordinates of the fourth vertex.

📌 A regular tetrahedron has equal edge lengths. The given vertices are \((0, 0, 0)\), \((1, 0, 0)\), \((0, 1, 0)\). The side length is 1.

📌 The distance from \((0, 0, 0)\) to \((x, y, z)\) is:

📌 \sqrt{x^2 + y^2 + z^2} = 1 \quad \Rightarrow \quad x^2 + y^2 + z^2 = 1

📌 The distance from \((1, 0, 0)\) to \((x, y, z)\) is:

🔥 Popular Posts

The score difference between the 5th and 3rd games is:
S(5) - S(3) = 66 - 28 = 38
Thus, the score difference is:
\boxed{38}
A rectangular plot of land has a perimeter of 100 meters. Find the max...
Let the length and width of the rectangle be \( l \) and \( w \), resp...
2l + 2w = 100 \quad \Rightarrow \quad l + w = 50
The area \( A \) of the rectangle is:
A = lw
Express \( w \) in terms of \( l \):

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