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Nonamiya [84]
3 years ago
7

Determine which of the lines, if any, are parallel. Explain.

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Isolate the variable y

Line a: 3y = x+6

            y =  1/3x + 2

Line b: 3y = x+18

            y = 1/3 x + 6

Line c: 3y = 2x+9

            y = 2/3x +3

Explanation:

Lines a and b are parallel because they have the same slope of 1/3.

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Which of ghe following is equivalent to (x+4)(3x^2+2x)?
Alexxandr [17]

The given expression is

(x+4)(3x^2 +2x)

And in the second factor, x is common. So on taking x out, we will get

(x+4)(x)(3x+2) = x(x+4)(3x+2)

We can expand it by distributing , that is

(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)

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Combining like terms,

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7 0
3 years ago
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Alex17521 [72]

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

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