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Posts tagged with locus

Juxtaposition or Parabolic?

June13

“Para” means “alongside” and “bola” comes from the Greek word “to throw“. So, the math word “Parabola” (and “parable”), for example, means to be “thrown alongside“. A parable is a story that has a meaning “alongside”. The parabola is a curve that is “thrown alongside” a fixed point and a fixed line, as we defined […]

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Locus of Points – Pt II

November5

This site has a simple applet that illustrates the concept of the locus (path) of moving points:

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January31

Time for some work. On a blank piece of paper rule a line somewhere. Now put a dot anywhere on the page too (or see LocusTask1 done for you). Your task is to draw a set of points (locus) that is the same distance (in a direct line) from the point and the ruled line. What shape […]

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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 […]

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Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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)?]