In this exercise we have to observe the axes of the graph to associate the values of X with those of Y that correspond to 0, 5, 5, -3, -5, -3, 2, 0, 0, -1, -2, 1, 1, -1, -1, -2, 2, 3, -1.
<h3>How to calculate the Cartesian plane?</h3>
Just draw two lines: one of them vertical, starting from the point until it finds the x axis; another horizontal, starting from the point until it meets the y-axis.
Then plotting the value of X on the graph we find the following for each value of X to Y:
- X= 0 ; Y= 0;
- X= 1 ; Y= 5;
- X= 2 ; Y= 5;
- X= 3 ; Y= -3;
- X= 4 ; Y= -5;
- X= 5 ; Y= -3;
- X= 6 ; Y= 2;
- X= 7 ; Y= 0;
- X= 8 ; Y= 0;
- X= 9 ; Y= -1;
- X= 10 ; Y= -2;
- X= 11 ; Y= 1;
- X= 12 ; Y= 1;
- X= 13 ; Y= -1;
- X= 14 ; Y= -1;
- X= 15 ; Y= -2;
- X= 16 ; Y= 2;
- X= 17 ; Y= 3;
- X= 18 ; Y= -1;
See more about coordinates at brainly.com/question/23450276
Based on the calculations, we have the following:
- The area of the sheet of paper is 96 square inches.
- The combined area of the triangle cutouts is equal to 36 square inches.
- The area of the parallelogram is equal to 60 square inches.
- The altitude of the parallelogram is equal to 6.51 square inches.
<u>Given the following data:</u>
- Dimension of paper = 12-inch by 8-inch.
<h3>How to calculate the paper's area.</h3>
Mathematically, the area of the paper is given by this formula:
Area = 96 square inches.
<u>For the four (4) right triangles:</u>
- Dimension 1 = 2 inches by 9 inches.
- Dimension 2 = 3 inches by 6 inches.
Therefore, the combined area of the triangle cutouts is given by:
<h3>The area of the parallelogram.</h3>
This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:
P = 60 square inches.
<h3>The altitude of the
parallelogram.</h3>
Altitude = 6.51 square inches.
Read more on parallelogram here: brainly.com/question/4459854
<u>Complete Question:</u>
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.
"If this month is September, then next month ends in the letter r." This is a valid converse statement.
The converse of a conditional statement is made once the hypothesis and conclusion are reversed. Likewise, the converse statement, “If the grass is wet, then it's raining” is logically such as the inverse statement, “If it's NOT descending, then the grass isn't wet.” These relationships are significantly useful in mathematics courses once you are asked to prove theorems supported definitions that are already best-known.
This converse statement is valid as after the month of September, the month of October comes and it ends with letter 'r'.
To learn more about Converse Statement here
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