a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an island 15 miles east and 60 miles north of the port. Find an equation h(x) for the line representing the path of Queen Bey's yacht. Assume Port Destiny is at the point (0, 0) the horizontal axis, West is to the left on the horizontal axis, North is up on the vertical axis, and South is down on the vertical axis. on a coordinate axis, East is to the right on h(x) b) Jay-Z's yacht will be leaving from Port Hard Knock, which is located 10 miles east of Port Destiny. His boat will travel on a straight line to an island that is located 40 miles directly north of Port Destiny. Still assuming Port Destiny is at the point (0, 0), find an equation g(x) for the line representing the path of Jay-Z's yacht. g(z) c) Use your answers from parts (a) and (b) to find the location where the paths of Queen Bey's and Jay-Z's yachts will meet. This will require that you find the point of intersection of h(x) and g(x) using algebra (i.e. via solving equations). Fill in the blanks in the statement below using your answers. The paths of the yachts will cross miles east and miles north of Port Destiny.
a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an island 15 miles east and 60 miles north of the port. Find an equation h(x) for the line representing the path of Queen Bey's yacht. Assume Port Destiny is at the point (0, 0) the horizontal axis, West is to the left on the horizontal axis, North is up on the vertical axis, and South is down on the vertical axis. on a coordinate axis, East is to the right on h(x) b) Jay-Z's yacht will be leaving from Port Hard Knock, which is located 10 miles east of Port Destiny. His boat will travel on a straight line to an island that is located 40 miles directly north of Port Destiny. Still assuming Port Destiny is at the point (0, 0), find an equation g(x) for the line representing the path of Jay-Z's yacht. g(z) c) Use your answers from parts (a) and (b) to find the location where the paths of Queen Bey's and Jay-Z's yachts will meet. This will require that you find the point of intersection of h(x) and g(x) using algebra (i.e. via solving equations). Fill in the blanks in the statement below using your answers. The paths of the yachts will cross miles east and miles north of Port Destiny.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....
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Transcribed Image Text:a) Queen Beyonce's yacht will be leaving from Port Destiny and traveling on a straight line to an island 15
miles east and 60 miles north of the port. Find an equation h(x) for the line representing the path of
Queen Bey's yacht. Assume Port Destiny is at the point (0, 0) on a coordinate axis, East is to the right on
the horizontal axis, West is to the left on the horizontal axis, North is up on the vertical axis, and South is
down on the vertical axis.
h(x) =
b) Jay-Z's yacht will be leaving from Port Hard Knock, which is located 10 miles east of Port Destiny. His
boat will travel on a straight line to an island that is located 40 miles directly north of Port Destiny. Still
assuming Port Destiny is at the point (0, 0), find an equation g(x) for the line representing the path of
Jay-Z's yacht.
%3D
c) Use your answers from parts (a) and (b) to find the location where the paths of Queen Bey's and Jay-Z's
yachts will meet. This will require that you find the point of intersection of h(x) and g(x) using algebra
(i.e. via solving equations). Fill in the blanks in the statement below using your answers.
The paths of the yachts will cross
miles east and
miles north of Port Destiny.
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