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) 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) = %3D 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.
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) 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) = %3D 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.
Chapter3: Graphs And Functions
Section3.3: Find The Equation Of A Line
Problem 3.61TI: Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write...
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Step 1 (Part - a)
Given:
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.
Equation h(x) representing the path of Queen Bey's yacht.
Assume Port Destiny is at the point (0, 0) on a coordinate axis.
The figure is shown as:
The line is passing through the points (0, 0) and (15, 60). So, the equation of the path is given by
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