The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 30 units long. (a) Express the ( y )-coordinate of ( P ) in terms of ( x ). (Hint: Write an equation for the line ( A B ).) (b) Express the area of the rectangle in terms of ( x ). (c) What is the largest area the rectangle can have, and what solutionspile.com

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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 30 units long. (a) Express the  ( y  )-coordinate of  ( P  ) in terms of  ( x  ). (Hint: Write an equation for the line  ( A B  ).) (b) Express the area of the rectangle in terms of  ( x  ). (c) What is the largest area the rectangle can have, and what are its dimensions? solutionspile.com

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