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Lemur [1.5K]
3 years ago
13

9. What are the dimensions of the rectangle?

Mathematics
2 answers:
KatRina [158]3 years ago
5 0
H=5 inches, b=8 inches
Sveta_85 [38]3 years ago
4 0

Answer:

d. h= 5 inches, b= 8 inches

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The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$
Ksivusya [100]
Let <span>simplify the equations a^7xy-a^6y-a^5x=a^4(b^4-1) and (a^mx-a^n)(a^py-a^2)=a^4b^4:
</span>
<span>1) a^7xy-a^6y-a^5x+a^4=a^4b^4
</span>
<span>and
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<span>2) a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4.
</span>
<span>Equate the coefficients:
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Then n=2 \\ p=4 \\ m=3 and mnp=24.
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