The lines represented by the equations y=\frac{4}{5}x+8y= 5 4 ​ x+8 and 20y+25x=18020y+25x=180 are

Given:

The equations of lines are

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

We have,

       ...(i)

         ...(ii)

Equation (i) can be written as

            ...(iii)

On comparing (i) with slope intercept form, we get

On comparing (iii) with slope intercept form, we get

Now,

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

6 meters

step-by-step explanation: