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Nina [5.8K]
2 years ago
6

The perimeter of a rectangular room is 52 feet. The length is 2 more than the width. What is the width of the room?

Mathematics
1 answer:
Otrada [13]2 years ago
7 0

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!

now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

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\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

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\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

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c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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