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are GmcHSIONS: 24. The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. a. Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) b. Express the area of the rectangle in terms of x. What is the largest area the rectangle can have, and what are its dimensions? c. B P(x, ?)

are GmcHSIONS: 24. The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. a. Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) b. Express the area of the rectangle in terms of x. What is the largest area the rectangle can have, and what are its dimensions? c. B P(x, ?)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 1P
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24. The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. a. Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) Express the area of the rectangle in terms of x. What is the largest area the rectangle can have, and what are its dimensions? b. c. 1 0 B X P(x, ?) 1
Transcribed Image Text:24. The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. a. Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) Express the area of the rectangle in terms of x. What is the largest area the rectangle can have, and what are its dimensions? b. c. 1 0 B X P(x, ?) 1
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