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Tuesday, October 28, 2014

A place equally distant from three towns (geometry version)

No comments : Posted by pnichols at Tuesday, October 28, 2014 Labels: Geometry , HSG.CO.A , HSG.CO.B. , HSG.CO.C , Plane Geometry

A question was posed about the following problem (modified slightly from the original):
Edison Electric wants to build a wind farm to provide electricity for three towns. Residents are concerned about noise, so Edison Electric wants to build the wind farm equally distant from all three towns.  How can Edison Electric find such a place?
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Thursday, October 23, 2014

Finding a linear equation, given a point and a parallel

No comments : Posted by pnichols at Thursday, October 23, 2014

A question was posed about the following problem:
A line goes through the point \((-2, -4)\) and is parallel to the graph of the equation $y = -x + 5$. Find the equation of the line in either point-slope form or slope-intercept form.
First, we must understand the problem.
What are we asked to find?
The problem asks us to find an equation for a line, in either point-slope form or point-intercept form.
What are the conditions for a correct solution?
  1. Our new line must pass through the point $(-2, -4)$.
  2. Our new line must be parallel to the graph of the equation $y=-x+5$.
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