Homework Help is Here – Start Your Trial Now!
Math
Algebra
17. Solve the equation using the Quadratic Formula: x2 - 7x = 30 %3D 18. Solve the equation using Factoring AND then the Quadratic Formula: x3- 27 = 0 %3D 19. Write the center-radius form of the circle. Then graph the circle: Center (3, 1), Rad 20. Determine if the equation is a circle. If so, write it in center-radius form. If not, desc graph of the equation as either Non-Existent or a Point. x2 + 8x + y2 + 4y + 16 = 0

17. Solve the equation using the Quadratic Formula: x2 - 7x = 30 %3D 18. Solve the equation using Factoring AND then the Quadratic Formula: x3- 27 = 0 %3D 19. Write the center-radius form of the circle. Then graph the circle: Center (3, 1), Rad 20. Determine if the equation is a circle. If so, write it in center-radius form. If not, desc graph of the equation as either Non-Existent or a Point. x2 + 8x + y2 + 4y + 16 = 0

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
100%

please help me with19 and 20

### Mathematics Problem Set 1. **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.** \( P(-3, 4) \) \( Q(6, -2) \) 2. **Determine whether the three points are vertices of a right triangle.** \( P(-4, 3) \), \( Q(2, 5) \), \( R(-1, -6) \) 3. **Graph by plotting points. Use \( x = 0, 2, -2 \).** \( y = \frac{1}{2}x + 3 \) 4. **Graph by plotting points. Use \( x = -2, -1, 2 \).** \( y = \sqrt{x + 2} \) 5. **Let \( f(x) = -x^2 - 3x + 5 \). Find \( f(3) \).** 6. **Let \( g(x) = -2x + 5 \). Find \( g(x + 3) \).** ### 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)** ### Solve the problems below using appropriate methods. 12. **Find the slope, \( m \), and y-intercept, \( b \), of the following equation:** \( 2x + 3y = 9 \) ### For questions #13-18, you must solve each equation using the method stated in the problem. Show work to receive credit
Transcribed Image Text:### Mathematics Problem Set 1. **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.** \( P(-3, 4) \) \( Q(6, -2) \) 2. **Determine whether the three points are vertices of a right triangle.** \( P(-4, 3) \), \( Q(2, 5) \), \( R(-1, -6) \) 3. **Graph by plotting points. Use \( x = 0, 2, -2 \).** \( y = \frac{1}{2}x + 3 \) 4. **Graph by plotting points. Use \( x = -2, -1, 2 \).** \( y = \sqrt{x + 2} \) 5. **Let \( f(x) = -x^2 - 3x + 5 \). Find \( f(3) \).** 6. **Let \( g(x) = -2x + 5 \). Find \( g(x + 3) \).** ### 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)** ### Solve the problems below using appropriate methods. 12. **Find the slope, \( m \), and y-intercept, \( b \), of the following equation:** \( 2x + 3y = 9 \) ### For questions #13-18, you must solve each equation using the method stated in the problem. Show work to receive credit
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS