Warm up Wednesday (10/19) 1) Dilara is designing a kite ABCD on a set of coordinate axes in which one unit represents 10 cm. The coordinates of A, B, and C are (2, 0), (0, 4) and (4, 6) respectively. Point D lies on the x-axis. [AC] is perpendicular to [BD]. This information is shown in the following diagram. B A a) Find the gradient of the line through A and C. b) Write down the gradient of the line through B and D. c) Find the equation of the line through B and D. Give your answer in the form ax + by+d=0, where a, b and d are integers. d) Write down the x-coordinate of point D.
Warm up Wednesday (10/19) 1) Dilara is designing a kite ABCD on a set of coordinate axes in which one unit represents 10 cm. The coordinates of A, B, and C are (2, 0), (0, 4) and (4, 6) respectively. Point D lies on the x-axis. [AC] is perpendicular to [BD]. This information is shown in the following diagram. B A a) Find the gradient of the line through A and C. b) Write down the gradient of the line through B and D. c) Find the equation of the line through B and D. Give your answer in the form ax + by+d=0, where a, b and d are integers. d) Write down the x-coordinate of point D.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 16E
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