(05.01 mc)

the graph shows the price, in dollars, of different numbers of sweet breads at alan's store. the table shows the price, in dollars, of different numbers of shortcakes at the same store.

shortcake

number
of shortcake price of shortcake

5 45
10 90
15 135
20 180

how many dollars more is the price of a shortcake than the price of a sweet bread at david's store?
$4
$5
$9
$25

For the table, y = 9x.

 so the price of a short cake is $9

For the graph, y = 4x
so the price of a sweet bread is $4

9-4 = 5

 the short cake is $5 more than the sweet bread

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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: