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iogann1982 [59]
3 years ago
9

What scale factor was applied to the first rectangle to get the resulting image?

Mathematics
2 answers:
arsen [322]3 years ago
6 0

Step-by-step explanation:

6 times x=1.5

x=1/4

x=.25

the first box with a side length of 6 was  by .25 to get a side length of 1.5.

Hope that helps :)

Please give brainliestmultiplied

sdas [7]3 years ago
4 0

Answer:

Step-by-step explanation:

In this question, it is given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .

The shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .

To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is

So the scale factor is 0.25 .

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Taking inverse of Laplace transformation

y(t) = 7 L^{-1} [ \dfrac{1}{(s+1)}] + L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{(s+1)-s}{s(s+1)}] +L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{1}{s}-\dfrac{1}{s+1}] + L^{-1}[\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{1}{s+1}] = e^{-t}  = f(t) \ then \ by \ second \ shifting \ theorem;

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{f(t-3) \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{e^{(-t-3)} \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

= e^{-t-3} \left \{ {{1 \ \ \ \ \  t>3} \atop {0 \ \ \ \ \  t

= e^{-(t-3)} u (t-3)

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