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5. A triangle in the first (upper right) quadrant is to be formed using the axes along with a line segment from (a, 0) to (0, b) whose length is 10 units. This problem will lead you to identifying the situation that maximizes the triangle's area. a. Draw a picture of what's described above. b. Write an expression for the triangle's area. c. Find a relationship between the quantities a, b, and 10. d. Find a function formula for the triangle's area whose only input variable is a. e. Find the maximum point of the function from part d. f. Describe the triangle that has the maximum area.

5. A triangle in the first (upper right) quadrant is to be formed using the axes along with a line segment from (a, 0) to (0, b) whose length is 10 units. This problem will lead you to identifying the situation that maximizes the triangle's area. a. Draw a picture of what's described above. b. Write an expression for the triangle's area. c. Find a relationship between the quantities a, b, and 10. d. Find a function formula for the triangle's area whose only input variable is a. e. Find the maximum point of the function from part d. f. Describe the triangle that has the maximum area.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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5. A triangle in the first (upper right) quadrant is to be formed using the axes along with a line segment from (a, 0) to (0, b) whose length is 10 units. This problem will lead you to identifying the situation that maximizes the triangle's area. a. Draw a picture of what's described above. b. Write an expression for the triangle’s area. c. Find a relationship between the quantities a, b, and 10. d. Find a function formula for the triangle's area whose only input variable is a. e. Find the maximum point of the function from part d. f. Describe the triangle that has the maximum area.
Transcribed Image Text:5. A triangle in the first (upper right) quadrant is to be formed using the axes along with a line segment from (a, 0) to (0, b) whose length is 10 units. This problem will lead you to identifying the situation that maximizes the triangle's area. a. Draw a picture of what's described above. b. Write an expression for the triangle’s area. c. Find a relationship between the quantities a, b, and 10. d. Find a function formula for the triangle's area whose only input variable is a. e. Find the maximum point of the function from part d. f. Describe the triangle that has the maximum area.
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