at speeds. With reference to a particular coordinate e is measured in metres, the position of A at time E -2t + 4), and the position of B is (-t – 3, t –- 4). nd the equation of the line that A moves along. t d be the distance between A and B at time t. She

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
icon
Related questions
Question
Two objects, A and B, are moving along two different straight lines at
constant speeds. With reference to a particular coordinate system in which
distance is measured in metres, the position of A at time t (in minutes) is
(3t – 2,-2t + 4), and the position of B is (-t – 3, t - 4).
(a) Find the equation of the line that A moves along.
(b) Let d be the distance between A and B at time t. Show that an
expression for d2 in terms of t is given by
d = 25t2 - 40t + 65.
%3D
Transcribed Image Text:Two objects, A and B, are moving along two different straight lines at constant speeds. With reference to a particular coordinate system in which distance is measured in metres, the position of A at time t (in minutes) is (3t – 2,-2t + 4), and the position of B is (-t – 3, t - 4). (a) Find the equation of the line that A moves along. (b) Let d be the distance between A and B at time t. Show that an expression for d2 in terms of t is given by d = 25t2 - 40t + 65. %3D
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell