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aleksandr82 [10.1K]
2 years ago
7

When multiplying signed numbers, how do you know whether the number is positive or negative?

Mathematics
1 answer:
Vanyuwa [196]2 years ago
8 0

Answer:

If the numbers have the same sign, then the answer will be positive.

If the numbers have different signs, then it will be negative.

You might be interested in
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
A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? r
MAXImum [283]

The force needed to keep the cart at rest is 149.022 pounds

<h3>Force and Motion</h3>

Given Data

  • Weight of cart = 200 pounds
  • Angle = 40 degree

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

Learn more about force here:

brainly.com/question/12970081

7 0
2 years ago
The sum of their speeds is 180 miles per hour superman is 20mph faster than Desperado how fast is each roller coaster
madreJ [45]

Superman is 100 mph

Desperado is 80 mph

there total speed is 180 mph and Superman is 20 mph faster

8 0
3 years ago
The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
Viefleur [7K]

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

2l^2 = h^2

Hypothenuse of 8 V2

This means that h = 8\sqrt{2}

So

2l^2 = h^2

2l^2 = (8\sqrt{2})^2

2l^2 = 64*2

l^2 = 64

l = \sqrt{64}

l = 8

The length of the legs of the triangle is 8 units.

4 0
3 years ago
1) 2x + 8y = 20 what's the solution so confused <br> y = 2
postnew [5]
If y is equal to 2 then you can find x by putting 2 for y so you will have:
2x + 8(2) = 20 
2x + 16 = 20 
2x = 20 - 16
2x = 4 
x = 4/2 
x=2 :)))
i hope this is helpful
have a nice day
8 0
3 years ago
Read 2 more answers
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