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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 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,?) -3 3 .... (a) The expression for the y-coordinate of P is. (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is. (Type an expression using x as the variable.) (c) The largest area the rectangle can have is (Type an integer or a simplified fraction.) square units.

The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 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,?) -3 3 .... (a) The expression for the y-coordinate of P is. (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is. (Type an expression using x as the variable.) (c) The largest area the rectangle can have is (Type an integer or a simplified fraction.) square units.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 20PFA
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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 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? Ay P(x,?) А х -3 (a) The expression for the y-coordinate of P is . (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is (Type an expression using x as the variable.) (c) The largest area the rectangle can have is (Type an integer or a simplified fraction.) square units. 3-
Transcribed Image Text:The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 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? Ay P(x,?) А х -3 (a) The expression for the y-coordinate of P is . (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is (Type an expression using x as the variable.) (c) The largest area the rectangle can have is (Type an integer or a simplified fraction.) square units. 3-
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