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Mariana [72]
2 years ago
14

What is the image point of (0, -1) after a translation left 5 units and down 1 unit?

Mathematics
1 answer:
gogolik [260]2 years ago
3 0

Answer:

(-5, -2)

Step-by-step explanation:

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Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.
Gnesinka [82]

Answer:

B.22

Step-by-step explanation:

4+4+7+7=22

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3 years ago
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2×3 squared<br><img src="https://tex.z-dn.net/?f=2%20%5Ctimes%203%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="2 \times 3 {
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2 years ago
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Find the laplace transform of f(t) = cosh kt = (e kt + e −kt)/2
iren2701 [21]
Hello there, hope I can help!

I assume you mean L\left\{\frac{ekt+e-kt}{2}\right\}
With that, let's begin

\frac{ekt+e-kt}{2}=\frac{ekt}{2}+\frac{e}{2}-\frac{kt}{2} \ \textgreater \  L\left\{\frac{ekt}{2}-\frac{kt}{2}+\frac{e}{2}\right\}

\mathrm{Use\:the\:linearity\:property\:of\:Laplace\:Transform}
\mathrm{For\:functions\:}f\left(t\right),\:g\left(t\right)\mathrm{\:and\:constants\:}a,\:b
L\left\{a\cdot f\left(t\right)+b\cdot g\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}+b\cdot L\left\{g\left(t\right)\right\}
\frac{ek}{2}L\left\{t\right\}+L\left\{\frac{e}{2}\right\}-\frac{k}{2}L\left\{t\right\}

L\left\{t\right\} \ \textgreater \  \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{t\right\}=\frac{1}{s^2} \ \textgreater \  L\left\{t\right\}=\frac{1}{s^2}

L\left\{\frac{e}{2}\right\} \ \textgreater \  \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{a\right\}=\frac{a}{s} \ \textgreater \  L\left\{\frac{e}{2}\right\}=\frac{\frac{e}{2}}{s} \ \textgreater \  \frac{e}{2s}

\frac{ek}{2}\cdot \frac{1}{s^2}+\frac{e}{2s}-\frac{k}{2}\cdot \frac{1}{s^2}

\frac{ek}{2}\cdot \frac{1}{s^2}  \ \textgreater \  \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \  \frac{ek\cdot \:1}{2s^2} \ \textgreater \  \mathrm{Apply\:rule}\:1\cdot \:a=a
\frac{ek}{2s^2}

\frac{k}{2}\cdot \frac{1}{s^2} \ \textgreater \  \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \  \frac{k\cdot \:1}{2s^2} \ \textgreater \  \mathrm{Apply\:rule}\:1\cdot \:a=a
\frac{k}{2s^2}

\frac{ek}{2s^2}+\frac{e}{2s}-\frac{k}{2s^2}

Hope this helps!
3 0
3 years ago
On a map, 2 inches represents 50 miles. How many miles are represented by 3 inches?
ivolga24 [154]
So if two is fifty, divide it by two to get twenty five, multiply that by three to get seventy five. 3x=75
4 0
3 years ago
Evaluate each expression if a=1/2 b=15 and c=9. C2 + a (2 is a exponent) 2ac. B2 - 5c (2 is exponent). Here is a picture if you
alexgriva [62]
C2 + a = 81.5
2ac = 9
B2 - 5c = 180

let me know if you need the work
8 0
2 years ago
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