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Home » Question: A historical astrolabe features a right triangle - Malaeb

Question: A historical astrolabe features a right triangle - Malaeb

📅 May 4, 2026 👤 scraface

May 04, 2026

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Start by using the identity for the sum of cubes:
a^3 + b^3 = (a+b)(a^2 - ab + b^2)
We know \( a + b = 10 \) and \( a^2 + b^2 = 58 \). Use the identity:
a^2 + b^2 = (a+b)^2 - 2ab
= 10^2 - 2ab \implies 58 = 100 - 2ab \implies 2ab = 42 \implies ab = 2...
Now substitute \( a+b \), \( a^2+b^2 \), and \( ab \) into the sum of...
Question:** A cartographer is designing a map transformation function...
First, find \( g(3) \):
g(3) = 2(3) + 1 = 7
Now substitute \( x = g(3) = 7 \) into \( T(x) \):

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