n the diagram below, ABCD is a trapezium, AD||BC and AB⊥BC. The coordinates of D(0;1). The equation of the line BC is 2y-x+4=0 1.1. Determine 1.1.1. The coordinates of B. 1.1.2. The gradient of AB. 1.1.3. The equation of the straight line AB. 1.1.4. If θ is the angle of inclination of line AB, calculate the value of θ.
n the diagram below, ABCD is a trapezium, AD||BC and AB⊥BC. The coordinates of D(0;1). The equation of the line BC is 2y-x+4=0 1.1. Determine 1.1.1. The coordinates of B. 1.1.2. The gradient of AB. 1.1.3. The equation of the straight line AB. 1.1.4. If θ is the angle of inclination of line AB, calculate the value of θ.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter2: Solving Linear Inequalities
Section: Chapter Questions
Problem 4CR
Related questions
Question
In the diagram below, ABCD is a trapezium, AD||BC and AB⊥BC. The coordinates of D(0;1). The equation of the line BC is 2y-x+4=0
1.1. Determine
1.1.1. The coordinates of B.
1.1.2. The gradient of AB.
1.1.3. The equation of the straight line AB.
1.1.4. If θ is the
1.2. E(12;y) is a point on BC produced
1.2.1. Determine the value of y
1.2.2. Given that C is the midpoint of BE, calculate the coordinates of C.
1.3. Calculate the area of trapezium ABCD
(Note: Area of trapezium = ½×(sum of || sides)×height)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning