and F= 35. FIND D when Ez18, Fz40 A: (6,1) A: B: B: (4,5) 1225 1600 C: (12, 3) D: NONE C: 3600 OF D: NONE THESE OF A, B, C, D: NONE OF THESE THESE Which point belongs To the equation? 3y= 2-4x 6) what is the slope of this line? O what is he slope of the live: 2x-5y = 9 A: - A: (5,-6) 3: B: (§,0) C: 2. C: (-2,2) D: NONE D: NONE OF A: 3: OF THESE 2 THESE D: NONE OF 2 C: THESE 2/5 N/3

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Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Educational Website Content: Algebra and Coordinate Geometry Exercises

#### Problem 1:
**If D varies jointly with E and F and D = 2,100 when E = 12 and F = 35, find D when E = 18, F = 40.**

Options:
- A: 1225
- B: 1600
- C: 3600
- D: None of these

#### Problem 2:
**Which of these is the point (2, 3)?**

**Graph Explanation:**
There is a coordinate plane with labeled points:
- A: Located in the first quadrant.
- B: Below the x-axis in the fourth quadrant.
- C: Above the line y = 3, possibly in the second quadrant.

Options:
- A, B, C, D: None of these

#### Problem 3:
**Which point belongs to the equation 2x - 5y = 9?**

Options:
- A: (6, 1)
- B: (4, 5)
- C: (12, 3)
- D: None of these

#### Problem 4:
**Which point belongs to the equation 3y = x² - 4x?**

Options:
- A: (5, -6)
- B: \(\left(\frac{2}{3}, 0\right)\)
- C: (-2, 2)
- D: None of these

#### Problem 5:
**What is the slope of this line?**

**Graph Explanation:**
There is a line passing through two points on a coordinate plane:
- The y-intercept appears to be a negative value.
- The graph indicates a downward slope from left to right.

Options:
- A: \(-\frac{2}{3}\)
- B: \(-\frac{3}{2}\)
- C: \(\frac{2}{3}\)
- D: None of these

#### Problem 6:
**What is the slope of the line: 2x - 5y = 9?**

Options:
- A: \(-\frac{9}{5}\)
- B: \(\frac{2}{5}\)
- C: \(-\frac{2}{5}\)
- D: None of these

---
This content provides practice problems for students learning about how to work with equations in algebra and how to
Transcribed Image Text:### Educational Website Content: Algebra and Coordinate Geometry Exercises #### Problem 1: **If D varies jointly with E and F and D = 2,100 when E = 12 and F = 35, find D when E = 18, F = 40.** Options: - A: 1225 - B: 1600 - C: 3600 - D: None of these #### Problem 2: **Which of these is the point (2, 3)?** **Graph Explanation:** There is a coordinate plane with labeled points: - A: Located in the first quadrant. - B: Below the x-axis in the fourth quadrant. - C: Above the line y = 3, possibly in the second quadrant. Options: - A, B, C, D: None of these #### Problem 3: **Which point belongs to the equation 2x - 5y = 9?** Options: - A: (6, 1) - B: (4, 5) - C: (12, 3) - D: None of these #### Problem 4: **Which point belongs to the equation 3y = x² - 4x?** Options: - A: (5, -6) - B: \(\left(\frac{2}{3}, 0\right)\) - C: (-2, 2) - D: None of these #### Problem 5: **What is the slope of this line?** **Graph Explanation:** There is a line passing through two points on a coordinate plane: - The y-intercept appears to be a negative value. - The graph indicates a downward slope from left to right. Options: - A: \(-\frac{2}{3}\) - B: \(-\frac{3}{2}\) - C: \(\frac{2}{3}\) - D: None of these #### Problem 6: **What is the slope of the line: 2x - 5y = 9?** Options: - A: \(-\frac{9}{5}\) - B: \(\frac{2}{5}\) - C: \(-\frac{2}{5}\) - D: None of these --- This content provides practice problems for students learning about how to work with equations in algebra and how to
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