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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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Step-by-step explanation:

8 0
2 years ago
Daniel wrote the following two-column proof for the given information.
Pavel [41]

The information given about the proof does that Daniel made an error on line 2.

<h3>How to illustrate the information?</h3>

Given:

1. AB = 3x +2;  BC = 4x + 8;  AC = 38

2. AB + BC = AC      incorrect (not an angle angle addition postulate)

3. 3x+2 + 4x + 8 = 38         correct

4. 7x + 10 = 38                    correct

5. 7x = 28                           correct

6. x = 4

Daniel made an error on line 2.

Here is the complete question:

Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5

Learn more about proof on:

brainly.com/question/4134755

#SPJ1

8 0
1 year ago
55.405 greater than 55.045
Kobotan [32]
55.405 is bigger then 55.045
4 0
2 years ago
Read 2 more answers
Which of the following functions has a graph that is a line? f(x) = |x| f(x) = x f(x) = x 2
sattari [20]

Answer:

f(x) = x

Step-by-step explanation:

f(x) = |x| will give you V graph

f(x) = x will give you line graph (linear)

f(x) = x² will give you a curve graph

7 0
3 years ago
If u help I’ll give u brainliest but please give correct answer
Black_prince [1.1K]

Answer:

here is no question sorry

4 0
3 years ago
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