Solve the Problem $A ( x ) = 2 x ( 2 - x )$

question 240

Multiple Choice

Solve the problem.
-The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 4 units long. Express the area A of the rectangle in terms of x.

• A) \(A ( x ) = 2 x ( 2 - x )\)
• B) \(A ( x ) = x ( 2 - x )\)
• C) \(A ( x ) = 2 x ^ { 2 }\)
• D) \(A ( x ) = 2 x ( x - 2 )\)

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Definitions:

Mechanical System

A combination of interconnected parts designed to achieve a specific function through the application of mechanical forces.

ADH Secretion

The process of releasing antidiuretic hormone, which helps control the balance of water in the body by affecting the kidneys.

Blood Pressure

The force that circulating blood exerts against the walls of blood vessels, crucial for maintaining circulatory system function and overall health.

ADH Levels

Concentration of Antidiuretic Hormone in the bloodstream, which regulates water balance in the body by controlling the amount of water reabsorbed by the kidneys.