Consider the points (1,2) and (5,4). a) Plot the points and use the Pythagorean Theorem to find the distance between them. Show the triangle that you applied the theorem to. b) Find an equation for the circle that has the segment from (1,2) to (5,4) as a diameter. c) Find the area of the circle in part (b). d) Find an equation for the line perpendicular to the segment from (1,2) to (5,4) that passes through the midpoint of the segment.
Consider the points (1,2) and (5,4). a) Plot the points and use the Pythagorean Theorem to find the distance between them. Show the triangle that you applied the theorem to. b) Find an equation for the circle that has the segment from (1,2) to (5,4) as a diameter. c) Find the area of the circle in part (b). d) Find an equation for the line perpendicular to the segment from (1,2) to (5,4) that passes through the midpoint of the segment.
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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
Transcribed Image Text:Consider the points (1,2) and (5,4).
a) Plot the points and use the Pythagorean Theorem to find the distance between them. Show the triangle that
you applied the theorem to.
b) Find an equation for the circle that has the segment from (1,2) to (5,4) as a diameter.
c) Find the area of the circle in part (b).
d) Find an equation for the line perpendicular to the segment from (1,2) to (5,4) that passes through the
midpoint of the segment.
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