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babymother [125]
3 years ago
14

3/4 (12x+8)=-13- (2x+3)

Mathematics
2 answers:
Katena32 [7]3 years ago
8 0

Answer: = − 2

Step-by-step explanation:

Novosadov [1.4K]3 years ago
5 0
Remove parentheses.

3/4 (12x+8)=−13−2x−3

Simplify 3/4(12x+8) to 3(12x+8)/4.
3(12x+8)/4=-13-2x-3

Factor out the common term 4.
3x4(3x+2)/4=-13-2x-3

Simplify 3×4(3x+2) to 12(3x+2).
12(3x+2)/4=-13-2x-3

Simplify 12(3x+2)/4 to 3(3x+2)
3(3x+2)=−13−2x−3

Simplify −13−2x−3 to −2x−16
3(3x+2)=−2x−16

Expand
9x+6=−2x−16

Add 2x to both sides.
9x+6+2x=−16

Simplify 9x+6+2x to 11x+6.
11x+6=−16

Subtract 6 from both sides.
11x=−16−6

Simplify −16−6 to −22
11x=−22

Divide both sides by 11.
x=− 22/11

Simplify 22/11 to 2.
x=−2

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Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
KengaRu [80]

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

<em>Additional comment</em>

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

4 0
3 years ago
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allochka39001 [22]
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kvv77 [185]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Equation

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