For each problem below, use algebra to answer the questions. You may find it helpful to draw and label an appropriate picture to help you get started and verify that your answer is reasonable. (Even if you are quite sure you can answer the question from your picture alone, you must use algebra to justify your answer.) 1. Find the x and y-intercepts of x² -8x+y+7=0. 2. Find the distance between the point (-2,10) and the y-intercept of the curve y=-4x² +5x+21. 3. Find the distance between the point (12, 14) and the x-intercept of the line 8x + 5y = 40. 4. Determine whether the point (2.1, 1.98) lies on the graph of x² + y² - 4x+6y=12. 5. Find all points with first coordinate 2 that are 5 units from (-1, -3).

For each problem below, use algebra to answer the questions. You may find it helpful to draw and label an appropriate picture to help you get started and verify that your answer is reasonable. (Even if you are quite sure you can answer the question from your picture alone, you must use algebra to justify your answer.) 1. Find the x and y-intercepts of x² -8x+y+7=0. 2. Find the distance between the point (-2,10) and the y-intercept of the curve y=-4x² +5x+21. 3. Find the distance between the point (12, 14) and the x-intercept of the line 8x + 5y = 40. 4. Determine whether the point (2.1, 1.98) lies on the graph of x² + y² - 4x+6y=12. 5. Find all points with first coordinate 2 that are 5 units from (-1, -3).

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.1: Circles

Problem 50PS

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