What are the coordinates of the point on the directed line segment from (-10, -3) to (2, -3) that partitions the segment into a ratio of 5 to 3?

(-2.5,-3)

Step-by-step explanation:

Initial points,

Final points,

The ratio in which the points divides is 5:3. KLet (x,y) be the coordinates of the point that is directed on the line segment from (-10, -3)  to (2, -3).

Using section formula,

So, the coordinates of the point is (-2.5,-3).

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

step-by-step explanation: