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sesenic [268]
3 years ago
7

Please explain how to solve step by step. Thank you.

Mathematics
1 answer:
Brut [27]3 years ago
4 0

3x-2 = 5x-14

Subtract 3x from each side:

-2 = 2x -14

Add 14 to each side:

12 = 2x

Divide both sides by 2:

x = 12/2

x = 6

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33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:
Deffense [45]

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

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