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OverLord2011 [107]
3 years ago
12

Be specific and try!

Mathematics
1 answer:
Darya [45]3 years ago
4 0
I just used PEMDAS. It was easy.

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Simplify the following expression,<br><br> 2(k - 9) + 12
Phoenix [80]

Answer:

2k - 6

Step-by-step explanation:

Distribute:

2k - 18 + 12

Add:

2k - 6

8 0
3 years ago
How many feet are in 108 inches?
MissTica
Well first we need to know how many inches are in one foot which is 12 inches for every foot. So now we can take 108 inches / 12 because there are 12 inches to a foot and we need to convert inches to feet. Which gives us are end answer of 9 feet in 108 inches.
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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

m^2 + 2m + 1 = i^2

In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

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3 years ago
Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?
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13 videos in all 4 concert videos 3 more rap videos than pop videos how many rap videos and how many pop videos
yKpoI14uk [10]
6 rap 3 pop take 13-4 which is 9. 6+3=9
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2 years ago
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