6. a. Sketch the circle x + y = 25 and the line y = 2x – 5. b. Solve the two equations simultaneously by substituting 2x in the equation x + y² = 25. Solve the resulting quadratic equation by factoring. For each value of x, find the corresponding value of y by substituting into the equation y = 2x – 5. c. Your two solutions in part (b) correspond to two points on the circle. Show them on your sketch. 5 for y
6. a. Sketch the circle x + y = 25 and the line y = 2x – 5. b. Solve the two equations simultaneously by substituting 2x in the equation x + y² = 25. Solve the resulting quadratic equation by factoring. For each value of x, find the corresponding value of y by substituting into the equation y = 2x – 5. c. Your two solutions in part (b) correspond to two points on the circle. Show them on your sketch. 5 for y
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![6. a. Sketch the circle x + y = 25 and the line y = 2x – 5.
b. Solve the two equations simultaneously by substituting 2x
in the equation x + y² = 25. Solve the resulting quadratic equation
by factoring. For each value of x, find the corresponding value of y
by substituting into the equation y = 2x – 5.
c. Your two solutions in part (b) correspond to two points on the circle.
Show them on your sketch.
5 for y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0030303-2d01-4356-84cb-1e1f28d6cb74%2F93018f70-3c2a-4d5e-b054-19ad036c80e8%2Fimq8ipuw_processed.png&w=3840&q=75)
Transcribed Image Text:6. a. Sketch the circle x + y = 25 and the line y = 2x – 5.
b. Solve the two equations simultaneously by substituting 2x
in the equation x + y² = 25. Solve the resulting quadratic equation
by factoring. For each value of x, find the corresponding value of y
by substituting into the equation y = 2x – 5.
c. Your two solutions in part (b) correspond to two points on the circle.
Show them on your sketch.
5 for y
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