Find the distance between the parallel lines
1 answer:
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:
- 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>
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Answer:
the distance between the parallel lines is 0.92
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Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals,
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be .
Therefore, the number of people attending Lollapalooza is equal to
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,
Substitute and Solve:
Now, we have, .
Substitute 81000 for and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo =
Number of people attending Lollapalooza =
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.