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loris [4]
3 years ago
8

HELPPPPPPP PLSSSSSSSS

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

D'(5,2)

E'(13,-5)

F'(15,3)

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All you gotta do is divide 7 by 20

7 / 20 = 0.35

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Jerome hiked for four-fifths of an hour and covered three and one-half meters. What was his hiking speed in meters per
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2 years ago
Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation
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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

4 0
3 years ago
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liberstina [14]
.35 is your answer that your looking for
3 0
3 years ago
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