Question

plse friends help me,

Answer 1

http://en.wikipedia.org/wiki/Distance_between_two_parallel_lines

Answer 2

Okay, so you have two parallel lines with the equations:
x/5+y/b=1 (passes through 13,32)
x/c+y/3=1
We want the distance between the two lines.
Step 1: Find the equation of the perpendicular line joining the two lines and passing through point (13,32)

Answer 3

okay

Answer 4

That shouldn't be hard if you're comfortable with perpendicular line qualities, particularly how the slopes of two perpendicular lines relate to each other.

Answer 5

Step 2: Get the co-ordinates of the point where the perpendicular joining line meets line K.
Step 3: Use the equation for finding the distance between two points on a Cartesian plane.

Answer 6

I hope that helps.

Answer 7

okay ., i wil try

Answer 8

i m not getting it

Answer 9

@msingh
Do you still need help with this?

Answer 10

Plug (13,32) into x/5+y/b=1 to find that b = -20
Now we have:
\[\frac{x}{5}+\frac{y}{-20}=1\]
Solving for y:

Answer 11

\[y=4x-20\]

Answer 12

We see that the slope of this line and all lines parallel to it is 4.

Answer 13

Solve x/c+y/3=1 for y to get:
\[y=\frac{-3x}{c}+3\]

Answer 14

But -3/c=4
So c = -3/4
And
\[y=4x+3\]

Answer 15

an idea i have would be something like this

given a line: ax+by=c

the intercepts can be determined by zeroing out x or y,

when x=0, y = c/b
when y=0, x = c/a

the intercept form of a line can then be expressed as:\[\frac{x}{c/a}+\frac{y}{c/b}=1\]

your first equation has an x intercept at (5,0), the slope of the line can be determined from the given point (13,32) and the x intercept (5,0), simply by subtracting 5 from the x values and stacking y/x

(13-5,32) = 32/8 = 4

the other line therefore needs a slope of 4, and runs thru the y intercept of (0,3):
y = 4x+3 , the same as Mertz came to

Answer 16

Now put the two lines into the form :
\[ax+by+c _{1}=0 \]
and
\[ax+by+c _{2}=0\]

Answer 17

The distance between those two lines is:
\[d=\frac{|c _{2}-c _{1}|}{\sqrt{a^2+b^2}}\]

Answer 18

I got: \[\frac{23}{\sqrt{17}} = \frac{23\sqrt{17}}{17}=5.58\]