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4 years ago

Compare the two fractions. Use >, <, or =. 5/12{ ]3/6

Mathematics

2 answers:

kozerog [31]4 years ago

6 0

The answer is < eeeeeeeeeeeeee

rodikova [14]4 years ago

3 0

5/12 < 3/6
The answer is <

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Х<br> 120<br> 50<br> What is the value of x?

lara [203]

Answer:

Step-by-step explanation:

180-120= 60

a line is 180 degrees and x is congruent to the angle on the right of 120, meaning if you find the missing angle to that angle(the one next to 120) then you'd get the answer. Knowing the line it 180 and 120 is supplementary to x. x=60.

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3 years ago

Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

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3 years ago

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3 years ago

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Vera_Pavlovna [14]

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3 years ago

What is 87 multiplied by2?

natulia [17]

87 multiply by 2 is 174

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3 years ago

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