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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14 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? (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 square units. (Type an integer or a simplified fraction.) What are the dimensions of the rectangle having the largest area? OA. 7x14 units 7 OB. 7x units 2 7 x14 units OC. x1 X P(x,?) A ON

The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14 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? (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 square units. (Type an integer or a simplified fraction.) What are the dimensions of the rectangle having the largest area? OA. 7x14 units 7 OB. 7x units 2 7 x14 units OC. x1 X P(x,?) A ON

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 46PS
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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14 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? (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.) What are the dimensions of the rectangle having the largest area? A. 7x 14 units 7 B. 7x units 2 O C. 7 2 x 14 units square units. -7 B P(x,?) X A X 7 Ly
Transcribed Image Text:The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14 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? (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.) What are the dimensions of the rectangle having the largest area? A. 7x 14 units 7 B. 7x units 2 O C. 7 2 x 14 units square units. -7 B P(x,?) X A X 7 Ly
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