Find the domain and range of a parabola with vertex (3, 4) and focus (1, 4).

9514 1404 393

Step-by-step explanation:

The focus is to the left of the vertex, so the parabola opens to the left. The domain is all values of x less than or equal to 3: (-∞, 3].

The vertical extent of the graph is all real numbers, so the range is (-∞, ∞).

__

The graph shows the focus and directrix as well as the parabola.

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

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.