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Svetllana [295]
2 years ago
7

Find the distance between the parallel lines

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

Answer:

The distance between the parallel lines is 0.92

Step-by-step explanation:

Given the two parallel lines:

<h2>4x - 6y + 20 + 0</h2><h2>6x - 9y + 20 = 0 </h2>

To find the distance between the two parallel lines:

  • First, we get a point on one of the lines, as follows:
<h2>4x - 6y + 20 = 0</h2><h2>4 (4) + 20 = 6y</h2><h2>36 = 6y</h2><h2>y = 6</h2><h2>(4, 6)</h2>
  • Once we have a point on a line, we calculate the distance from that point to the other line using the formula for the distance from a point to a line:

<u>See In Photo</u>

Where:

A = 6

B = -9

C = 20

px = 4

py = 6

Then:

<u>See in 2nd Photo</u>

<u />

Answer:

the distance between the parallel lines is 0.92

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A similar problem is given at brainly.com/question/21245344

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The line is strait therefore it is 180 degrees and the right angle is 90 plus the 36 angle equals 126. Then you take that away from 180 to find how much the other angle is. After you find that it is 54 you divide it by 2 because it is 2x.

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