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# A balloon carrying a transmitter ascends vertically from a point 2000 feet from the receiving station. Let d be the distance between the balloon and the receiving station. Write the height h of the balloon as a function of d. What is the domain of this function?

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$\textbf{Concept}$

$\textbf{Pythagorean Theorem}$

For a right triangle with legs of length $a$ and $b$ and hypotenuse of length $c$:

$a^2 + b^2 = c^2$

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