lakrbu
lakrbu lakrbu
  • 01-03-2018
  • Mathematics
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What is the rule to represent the number of tiles in figure x?

What is the rule to represent the number of tiles in figure x class=

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apologiabiology
apologiabiology apologiabiology
  • 01-03-2018
figure 1 has 8 tiles
figure 2 has 14 tiles
figure 3 has 22 tiles

I'm guessing the 2 on the side hints for us to do something+2
the inside parts are
figure 1: 6
figure 2: 12
figure 3: 20

hmm, the width is 1+number figure
height is 2+figure number

so therefor, figure x is (1+x)(2+x)+2

so the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles



a. the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
b. it is quadratic because it has [tex]x^2[/tex] in it
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