n this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line f(x)=2x+4f(x)=2x+4 The line g(x)g(x) parallel to f(x)f(x) passing through the point (0, 3) The line h(x)h(x) perpendicular to f(x)f(x) passing through (13, 0) The line j(x)j(x) perpendicular to f(x)f(x) passing through (0, 4)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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In this problem, we'll walk through the steps to find the area of the rectangle bounded by:

The line f(x)=2x+4f(x)=2x+4
The line g(x)g(x) parallel to f(x)f(x) passing through the point (0, 3)
The line h(x)h(x) perpendicular to f(x)f(x) passing through (13, 0)
The line j(x)j(x) perpendicular to f(x)f(x) passing through (0, 4)

e) Label the intersection of f (x) and j(x) as point A. Find
the coordinates of point A.
f) Label the intersection of g(x) and j(x) as point B. Find
the coordinates of point B.
g) Label the intersection of f(x) and h(x) as point C. Find
the coordinates of point C.
h) Find the distance from point A to point B
Distance =
%3D
i) Find the distance from point A to point C
Distance =
%3D
j) Find the area of the rectangle bounded by the four lines.
Area
Transcribed Image Text:e) Label the intersection of f (x) and j(x) as point A. Find the coordinates of point A. f) Label the intersection of g(x) and j(x) as point B. Find the coordinates of point B. g) Label the intersection of f(x) and h(x) as point C. Find the coordinates of point C. h) Find the distance from point A to point B Distance = %3D i) Find the distance from point A to point C Distance = %3D j) Find the area of the rectangle bounded by the four lines. Area
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