5. Let f(x) = -x2 - 3x + 5. Find f(3). 6. Let g(x) = -2x + 5. Find g(x+3). %3D %3D For question #7-11, write an equation of the line with the given conditions. You may write your answer in y = mx + b or Ax + By = C form, or, in x a or y = b form, when applicable. %3D 7. Through (-3, 5); Slope =-2. 8. Through (5, –2); Slope = 0 9. Slope = ; y-intercept (0,-4) 10. Undefined slope; Through (5, 2) %3D 11. Parallel to 2x + 4y= 9; Through (6, 1)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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can you please do 6-11 only? thank you

On this educational website, we present the following transcription and detailed explanation for a mathematics worksheet:

---

## Mathematics Worksheet: Geometry and Algebra

### 1. Distance and Midpoint
Find (a) the distance \(d(P,Q)\) and (b) the coordinates of the midpoint \(M\) of line segment \(PQ\).
- Write the answer as a simplified radical.
\[ P(-3, 4) \quad Q(6, -2) \]

### 2. Right Triangle Verification
Determine whether the three points are vertices of a right triangle.
\[ P(-4, 3), \quad Q(2, 5), \quad R(1, -6) \]

### 3. Graphing Linear Equations
Graph by plotting points. Use \(x = 0, 2, -2\).
\[ y = \frac{1}{2}x + 3 \]

### 4. More Graphing of Linear Equations
Graph by plotting points. Use \(x = -2, -1, 2\).
\[ y = \sqrt{x + 2} \]

### 5. Function Evaluation
Let \(f(x) = -x^2 - 3x + 5\). Find \(f(3)\).

### 6. Another Function Evaluation
Let \(g(x) = -2x + 5\). Find \(g(x+3)\).

### Equation of a Line Problems (Questions 7-11)
For questions #7-11, write an equation of the line with the given conditions. You may write your answer in \( y = mx + b \) or \(Ax + By = C\) form, or, in \(x = a\) or \(y = b\) form, when applicable.

7. Through \((-3, 5)\); Slope \(= -2\).

8. Through \((5, -2)\); Slope \(= 0\).

9. Slope \(= \frac{2}{3}\); y-intercept \((0,-4)\).

10. Undefined slope; Through \((5, 2)\).

11. Parallel to \(2x + 4y = 9\); Through \((6, 1)\).

### 12. Additional Line Equation Problem
Find the slope, m, and y-intercept, b, of the following equation:
Transcribed Image Text:On this educational website, we present the following transcription and detailed explanation for a mathematics worksheet: --- ## Mathematics Worksheet: Geometry and Algebra ### 1. Distance and Midpoint Find (a) the distance \(d(P,Q)\) and (b) the coordinates of the midpoint \(M\) of line segment \(PQ\). - Write the answer as a simplified radical. \[ P(-3, 4) \quad Q(6, -2) \] ### 2. Right Triangle Verification Determine whether the three points are vertices of a right triangle. \[ P(-4, 3), \quad Q(2, 5), \quad R(1, -6) \] ### 3. Graphing Linear Equations Graph by plotting points. Use \(x = 0, 2, -2\). \[ y = \frac{1}{2}x + 3 \] ### 4. More Graphing of Linear Equations Graph by plotting points. Use \(x = -2, -1, 2\). \[ y = \sqrt{x + 2} \] ### 5. Function Evaluation Let \(f(x) = -x^2 - 3x + 5\). Find \(f(3)\). ### 6. Another Function Evaluation Let \(g(x) = -2x + 5\). Find \(g(x+3)\). ### Equation of a Line Problems (Questions 7-11) For questions #7-11, write an equation of the line with the given conditions. You may write your answer in \( y = mx + b \) or \(Ax + By = C\) form, or, in \(x = a\) or \(y = b\) form, when applicable. 7. Through \((-3, 5)\); Slope \(= -2\). 8. Through \((5, -2)\); Slope \(= 0\). 9. Slope \(= \frac{2}{3}\); y-intercept \((0,-4)\). 10. Undefined slope; Through \((5, 2)\). 11. Parallel to \(2x + 4y = 9\); Through \((6, 1)\). ### 12. Additional Line Equation Problem Find the slope, m, and y-intercept, b, of the following equation:
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