The diagram below represents the blueprint of a vegetable garden. The beans and potatoes are planted in rectangular gardens. The corn is planted in an area that is represented by a composition of two rectangles. The horizontal lines will represent the lengths of each section of the garden and the vertical lines will represent the widths of each section of the garden. The diagram below represents the blueprint of a vegetable garden. The beans and potatoes are planted in rectangular gardens. The corn is planted in an area that is represented by a composition of two rectangles. The horizontal lines will represent the lengths of each section of the garden and the vertical lines will represent the widths of each section of the garden. Please use the information provided in this diagram to answer questions #1 - 4. x2 - 7x + 2

x2 + 1

Corn

m

Beans

x - 1

Potatoes

A = x3 - x2 - 30x + 72

x + 6
x2 - 9

Directions: Make sure you show all work for the following questions.
Determine & state the length of the potato garden.

Determine & state the length of m.

Determine & state the perimeter of the corn garden.

Mark said that the area of the bean garden is x3-x2+x-1. Do you agree or disagree with Mark? Explain your answer in complete sentences.

Step-by-step explanation:

1. The length of the vegetable garden is:

(x² − 7x + 2) + (x² + 1) = 2x² − 7x + 3

The length of the potato garden is therefore:

(2x² − 7x + 3) − (x² − 9) = x² − 7x + 12

2. m + x² + 1 = x² − 7x + 12

m = -7x + 11

3. The perimeter of the corn garden is:

P = (x² − 7x + 2) + (x − 1) + (-7x + 11) + (x + 6) + (x² − 9) + (x + 6) + (x − 1)

P = 2x² − 10x + 14

4. The area of the bean garden is width time length:

A = (x − 1) (x² + 1)

A = x³ − x² + x − 1

Mark is correct.

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:

answer: 12,000

step-by-step explanation: first you ar e supposed to add. then multiply then subtract