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Use​ Gauss-Jordan elimination to solve the linear

Question

Use​ Gauss-Jordan elimination to solve the linear

system and determine whether the system has a unique​ solution, no​ solution, or infinitely many solutions. If the system has infinitely many​ solutions, describe the solution as an ordered triple involving a free variable.

xminus

−yequals

=3

3

yminus

−zequals

=negative 3

−3

xplus

+zequals

=4

 
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Solve the system of linear equations

Question

Solve the system of linear equations using the

elimination method.

one third x

13x

minus

two thirds y

23y

plus

+

z

z

equals

=

negative 4

−4

one half x

12x

minus

three fourths y

34y

plus

+

z

z

equals

=

negative StartFraction 19 Over 4 EndFraction

−194

negative 2 x

−2x

minus

y

y

plus

+

z

z

equals

=

2

2

 
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Suppose that an object is dropped from a height of h

Question

Suppose that an object is dropped from a height of  style=”color:rgb(0,0,0);”>meters and hits the ground with a velocity of v meters per second. then v = sqrt 19.6hIf an object hits the ground with a velocity of 30.6 meters per second, from what height was it dropped?Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth. 

 
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A pendulum is L meters long

Question

A pendulum is L meters long. The

time, t, in seconds that it takes to swing back and forth once is given by t= 2 sqrt L

Suppose the pendulum takes 7.42 seconds to swing back and forth once. What is its length?

Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.

 
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