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ira [324]
3 years ago
14

Solve the following system of equations:

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Answer:

(1,3)

Step-by-step explanation:

\sf Answer\begin{cases} \sf \rightarrowtail \:  - 2x + y = 1 \dots(1) \\  \sf \rightarrowtail \:  - 4x + y =  - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y  = 2 \\ \sf 1 \times (2) \implies - 4x + y =  - 1 \\  \bf \star \: substracting \: both \\  \sf \rightarrowtail \: y = 3 \\  \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\  \sf \rightarrowtail \: x=1\end{cases}

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A rectangle's length, x, is 2 meters greater than its width. If the perimeter of the rectangle is greater than 112 meters, what
kotykmax [81]
Assume widthis x-2
perimeter is 2*(width+length)
so 2*(x+x-1)>112
2*(2x-1)>112
4x-2>112
x>28.5
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6 0
4 years ago
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the
Gnoma [55]

Answer:

δL/δt = 634,38 ft/s

Step-by-step explanation:

A right triangle is shaped by  ( y = distance between aircraft and ground which is constant and equal to  405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f   and the line between the aircraft and the person. Then we can use Pythagoras theorem and write

L ( distance between aircraft and person )

L²  =  x²  +  y²      or    L²  =  x²  + (405)²

Taken partial derivatives with respect to t we get:

2*L*δL/δt    =  2*x*δx/t + 0

Then      L*δL/δt = x*δx/dt

At the moment of the aircraft passing over the tower

x = 3040 ft       δx/δt = 640 ft/s   and L = √ ( 3040)² + (405)²

So   L  = √9241600  + 164025        L = √9405625   L ≈3066,9 ft

Then:

δL/δt = 3040*640/ 3066,9         units   [ ft * ft/s / ft ]   ft/s

δL/δt = 634,38 ft/s

5 0
3 years ago
!PLEASE HELP ME!
yaroslaw [1]
Ok I think it b that’s what I think if it’s not that try C
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I think it’s A sorry if I’m wrong
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3 years ago
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mylen [45]

Answer:

Real

Rational

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Step-by-step explanation:

Because I passed all of my math with 100% so i know this is right

3 0
3 years ago
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