The distance between two points (x1,y1) and (x2,y2) is √(x1-x2)2+(y1-y2)2 . determine the distance between (1,3) and (5,2) .

Let the point (1,3) be (x1, y1)

Let the point (5,2) be (x2, y2)

The distance between the two points would be √((x2-x1)²+(y2-y1)²)

Substitute the numbers into the  points

distance: √((5-1)²+(2-3)²)

=√(4²+(-1)²)

=√(16+1)

=√17

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