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Mapping the Loci of Human Occupation

January31

In geometry, a locus (Latin for “place”, plural loci) is a collection of points which share a property. For example a circle may be defined as the locus of points that are the same distance from a fixed point (the centre of the circle). A Canadian scientist, Felix Pharand Deschenes, has gone one step further – using data collected from different government agencies, he has created a series of stunning visual loci showing the extent of the earth’s modern technology. More great images here.

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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