timmychalamet timmychalamet
  • 18-02-2022
  • Mathematics
contestada

the answer is x-2/3(x-3) but i need the explanation

the answer is x23x3 but i need the explanation class=

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zsm2800 zsm2800
  • 23-02-2022

Answer:

[tex]\frac{x-2}{3(x-3)}[/tex]

Step-by-step explanation:

The area of the shaded rectangle is [tex]A_1=\frac{x-2}{3}\times\frac{x+1}{4}[/tex]

The area of the large rectangle is [tex]A_2=\frac{x-3}{2}\times\frac{x+1}{2}=\frac{(x-3)(x+1)}{4}[/tex]

So the fraction is [tex]\frac{A_1}{A_2}=A_1\times\frac{1}{A_2}=\frac{x-2}{3}\times\frac{x+1}{4}\times\frac{4}{(x-3)(x+1)}=\frac{x-2}{3(x-3)}[/tex]

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