A right triangle has one vertex on the graph of y=x, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x. A(x)= KUse integers or fractions for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
Question
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A right triangle has one vertex on the graph of y=x, x>0, at (x, y), another at the origin, and the third on the
positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.
A(x)=
KUse integers or fractions for any numbers in the expression.)
Transcribed Image Text:A right triangle has one vertex on the graph of y=x, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x. A(x)= KUse integers or fractions for any numbers in the expression.)
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