Wiki User
β 14y agoy = mx + c
y = mx + b
We see that the lines have the same slope m.
If the lines have slopes with the same sign, then the lines are parallel.
Soppose that the slope is positive, m > 0.
Case 1: If c > 0, b> 0, and c > b, or c < 0, b < 0, and c < b, then we have to work in the same way to find the distance between lines, which is also the same distance.
Let work for the first possibility where c > 0, b > 0, and c > b.
If we draw the lines, we see that from the interception of the lines with x and y-coordinate axis, are formed two similar right triangles on the second quadrant.
The bigger triangle vertices are (0, c), (0, 0), and (-c, 0)
The midpoint of the hypotenuse is (-c/2, c/2).
The distance between the origin and the midpoint is (c√2)/2.
√[(-c/2)2 + (c/2)2] = √(c2/4 + c2/4) = √ (2c2/4) = (c√2)/2
The smaller triangle vertices are (0, b), (0, 0), and (-b, 0)
The midpoint of the hypotenuse is (-b/2, b/2).
The distance between the origin and the midpoint is (b√2)/2.
√[(-b/2)2 + (b/2)2] = √(b2/4 + b2/4) = √ (2b2/4) = (b√2)/2
The distance between the lines is (√2)/2)(c - b).
(c√2)/2 - (b√2)/2 = (√2)/2)(c - b)
Case 2: If c > 0, b< 0 or c < 0, b > 0.
If we draw the lines, we see that from the interception of the lines with x and y-coordinate axis are formed two similar right triangles on the second and fourth quadrant. In this case the distance between lines is (√2)/2)(c + b).
If the slope is negative for both lines, then we find the same result as above, but the formed right triangles are in the first and third quadrant.
If the lines have slopes with different sign, then the lines intersect.
Wiki User
β 14y agoIf the distance between the lines is constant then they are parallel.
The distance between the countries can be find by travelling
ruler
It is the distance between the parallels
If you can find the slope of both lines, then yes you can tell. The slope for parallel lines is the same - so if your slopes are the same, your lines are parallel. If you are measuring (less exact) the lines will be the same distance apart everywhere.
the answer in the text book is 0.693 but i cannot get the answer
If the distance between the lines is constant then they are parallel.
The shortest distance between 2 parallel lines is a perpendicular drawn between 2 parallel lines the diagram shows it clearly 1 parallel line ------------------------------------|-------------------------------------------------------------------- | | | the vertical line is the shortest distance | | ------------------------------------|------------------------------------------------------------------- 2nd parallel line
If the two lines are parallel, then the shortest distance between them is a single, fixed quantity. It is the distance between any point on one line along the perpendicular to the line.Now consider the situation where the two lines meet at a point X, at an angle 2y degrees. Suppose you wish to find points on the lines such that the shortest distance between them is 2d units. [The reason for using multiples of 2 is that it avoids fractions].The points are at a distance d*cos(y) from X, along each of the two lines.
To find distance in the work formula, you can rearrange the formula to distance equals work divided by force. This allows you to calculate the distance by dividing the work done by the force applied.
If you mean a topographic map, then you just divide the distance between two contour lines by the change in height between the two points
6.7
First, you have to specify what cities you want to find the distance between, and then you can find the distance between each one, and finally add all the distance together, to give you the total.
The difference between interior lines and exterior lines are thatInterior lines: Are the lines that are in the inside of the shape or whatever you are trying to find the interior of.Exterior Lines: Are the lines that are outside of the shape or whatever you are trying to find the exterior of.
Distance = Speed * Time.
speed times distance equals horizantal speed.
find the distance between the Dubai cities