Posted by Theo on Monday, May 30, 2011 at 10:39am.
The capital letter F can be formed by connecting the points (0,4)(5,4) (5,2)(2,2) (2,0) (4,0) (4,2) (2,2) (2,7) nad (0,7), in this order. Determine the slope of a line that passes through the origin and divides the letter F into two regions of equal area.

Math  Reiny, Monday, May 30, 2011 at 12:46pm
Cute question.
After you made your sketch, you will find that the area above the xaxis is 14, while the area that falls below the xaxis is 18, so we have to cut off 2 units from the rectangle formed by (0,0), (4,0), (4,2) and (0,2).
That will result in a rightangled triangle with base 4 and height h such that
(1/2)(4)h = 2
h = 1
so the line has to go through the point (4,1)
resulting in a slope of 1/4
Answer This Question
Related Questions
 Math  The capital letter F can be formed by connecting the points (0,4),(5,4),(...
 Algebra 1 help  Can someone tell me if my answers are right and explain how you...
 Math  Each capital letter of the alphabet is carefully printed on a piece of ...
 Math 101  Find the equation for each of the following items below: a. A line ...
 Algebra  1. Is it more difficult to run up a ramp with a slope of 1/5 or a ...
 math  1. What is the slope of the line that passes through the points (2, 5) ...
 Math  Write a linear equation in slope intercept form for each of the following...
 intermediate algebra  Write the equation of the line: The points are at (8,6...
 math  i have more than one question so if u no any of the answers please tell ...
 Math  Post a New QuestionCurrent Questions Homework Help: Math Posted by Mikil ...
More Related Questions