1. a group of friends went to the movies, and the three guys each bought two tickets (t), a popcorn (p) and two drinks (d) for themselves and their dates. After distributing, we can represent this situation with the expression. .

6t + 3p + 6d

Step-by-step explanation:

Given - A group of friends went to the movies, and the three guys each      

            bought two tickets (t), a popcorn (p) and two drinks (d) for

            themselves and their dates.

To find - After distributing, we can represent this situation with the

              expression.

Proof -

As given , three guys each bought two tickets (t), a popcorn (p) and two drinks (d) for themselves and their dates.

Let ticket = t

     popcorn = p

     drink = d ,

Then,

The expression becomes -

3[2t + p + 2d ] = 6t + 3p + 6d

∴ we get

We can represent this situation with the expression - 6t + 3p + 6d

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: