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PtichkaEL [24]
2 years ago
10

What is the equation of the line ?

Mathematics
1 answer:
Basile [38]2 years ago
3 0
Either 1, or 2, smart ppl help!
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What is the order of the matrix?<br><br> (see picture)<br><br> a.2x3<br> b.3x5<br> c.5x3<br> d.3x2
Lana71 [14]

Step-by-step explanation:

Matrix has 5 rows and 3 columns.

So it's order is 5x3.

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Write an equation for the description
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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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