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>
<u />
Answer:
the distance between the parallel lines is 0.92
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Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵ = 6 and
= -6
∵ = 9 and
= -6
∴ =
∴ = 3
∵ = 6 and
= -6
∵ = 9 and
= 1
∴ =
∴ =
∵ = 9 and
= 1
∵ = 9 and
= -6
∴ =
∴ = 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is
∵ The other two sides are 3 and 7
∵ ( )² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ ( )² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.