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Sidana [21]
3 years ago
6

What is the value of x? 10153045​

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0
X is 0,in most situations,but could you provide a picture next time?
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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc
DerKrebs [107]

we are given

differential equation as

y'''-9y''+20y'=0

we are given

y=e^{rx}

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

y'=re^{rx}

Second derivative is

y''=r*re^{rx}

y''=r^2e^{rx}

Third derivative is

y'''=r^2*re^{rx}

y'''=r^3e^{rx}

now, we can plug these values into differential equation

and we get

r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0

now, we can factor out common terms

e^{rx}(r^3 -9r^2 +20r)=0

we can move that term on right side

(r^3 -9r^2 +20r)=0

now, we can factor out

r(r^2 -9r +20)=0

r(r-5)(r-4)=0

now, we can set them equal

r=0

r-5=0

r=5

r-4=0

r=4

so, we will get

r=0,4,5...............Answer

4 0
3 years ago
What is the length of segment AC?
Andrei [34K]

Answer:

10 units

Step-by-step explanation:

To find the length we can use the formula

d = sqrt( (y2-y1)^2 + (x2-x1)^2)

We have the two points (-5,5) and (3,-1)

d = sqrt( (-1-5)^2 + (3--5)^2)

d = sqrt( (-6)^2 + (3+5)^2)

d = sqrt( (-6)^2 + (8)^2)

d = sqrt( 36 + 64)

d = sqrt(100)

d = 10

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3 years ago
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Marat540 [252]

Answer:

a = 3.9

Step-by-step explanation:

Isolate the varible by dividing each side by factors that don't contain the variable.

5 0
3 years ago
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Natalka [10]
Mia is 13 years 4 months and 5 days old

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3 years ago
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-3(-x - 7)<br><br> (Distributive property)
baherus [9]
I believe it is 3x+21 but i could be wrong :/ my explaination is -3 • -X would be +3x because it was distributed and -3 • -7 would be +21
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