(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point P on this line that is closest to the origin. - Hint: Optimize the (distance) formula D = √(x xo)² + (y-yo)2 which measures the distance between a point (x, y) and the reference point (xo, yo). (ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.
(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point P on this line that is closest to the origin. - Hint: Optimize the (distance) formula D = √(x xo)² + (y-yo)2 which measures the distance between a point (x, y) and the reference point (xo, yo). (ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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