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Oliga [24]
3 years ago
14

What are the solutions to –2|x| = –6? Show your work please

Mathematics
2 answers:
Elza [17]3 years ago
5 0

Answer:

x = ± 3

Step-by-step explanation:

  • –2|x| = –6
  • -2 |x|/ -2 = -6/-2
  • |x| = 3
  • x = ± 3

Answer is ± 3

dmitriy555 [2]3 years ago
3 0

Answer:

[See Below]

Step-by-step explanation:

✦ Divide by -2 on each side:

  ✧ -2 / -2 = Cancels Out

  ✧ -6 / -2 = 3

So x would be 3, -3.

- |x| Just means absolute value. Which in short just means if it's negative it becomes positive.

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

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3 years ago
X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
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Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
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Answer:

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Step-by-step explanation:

7 0
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Step-by-step explanation:

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