givantphilgivant givantphilgivant
  • 22-06-2017
  • Mathematics
contestada

The solutions to the inequalities 0≤x≤2, 0≤y≤1, and y≤−1/ 2 x+3/ 2 form a polygonal region in the plane.? how many sides does this polygon have?

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merlynthewhizz
merlynthewhizz merlynthewhizz
  • 28-06-2017
for inequality [tex]0 \leq x \leq 2[/tex], draw the lines [tex]x=0[/tex] and [tex]x=2[/tex]

for inequality [tex]0 \leq y \leq 1[/tex], draw the lines [tex]y=0[/tex] and [tex]y=1[/tex]

for inequality [tex]y \leq - \frac{1}{2}x+ \frac{3}{2} [/tex] plot the line on the graph

As shown in the diagram below, the region enclosed form a polygon of five sides (pentagon)
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