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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 AB.) (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? P(x,?) 15 (a) The expression for the y-coordinate of P is (Type an expression using x as the variable.)

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 AB.) (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? P(x,?) 15 (a) The expression for the y-coordinate of P is (Type an expression using x as the variable.)

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
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 29P
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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 AB.) (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? P(x,?) -15 15 (a) The expression for the y-coordinate of P is. (Type an expression using x as the variable.)
Transcribed Image Text: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 AB.) (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? P(x,?) -15 15 (a) The expression for the y-coordinate of P is. (Type an expression using x as the variable.)
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