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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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).
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