Slide and transformation

The rule that describes this transformation is (x - 3, y + 1)

Step-by-step explanation:

Step 1:

The points of the trapezoid are

M; (-3, -1),

N; (-4, 3),

P; (1, 3), and

Q; (-1, -1).

Step 2:

To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.

In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.

Combining these we get (x, y) becomes (x - 3, y + 1).

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

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5