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solniwko [45]
2 years ago
12

write and equation of the line parallel to the line  2 x + 4 y = 20 2 x + 4 y = 20 and containing the point  ( −

6 , 3 ) ( - 6 , 3 ) Write
Mathematics
1 answer:
MAXImum [283]2 years ago
4 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line

c represents the y intercept

The equation of the given line is

2x + 4y = 20

4y = - 2x + 20

Dividing through by 4, it becomes

y = - x/2 + 5

Comparing with the slope intercept form, slope = - 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2

To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes

3 = - 1/2 × - 6 + c

3 = 3 + c

c = 3 - 3 = 0

The equation becomes

y = - x/2

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Consider the equation: 3(–4n – 9) = 21
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Answer: N=-4

Step-by-step explanation:

STEP

1

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STEP

2

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Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

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 -3 • (4n + 9) -  21  = 0

STEP

3

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STEP

4

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Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

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STEP

5

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Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

7 0
2 years ago
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Suppose a triangle has sides a,b, and c, and that a^2+b^2>c^2. Let theta be the measure of the angle opposite the side of len
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B
b 
b 
b i think it will be b
4 0
3 years ago
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O,my god if you do this 2 pages I will be done with my homework
katovenus [111]

Answer:

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6 0
2 years ago
Please help me understand this! Thanks a bunch if you help!
mariarad [96]
Segment BD equals 12<span />
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3 years ago
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