The city is planning to build a road R that goes through McDonald's and Burger King. The two fast food restaurants can easily be found on a grid of their city. The coordinates of McDonald's are M(2, - 4) and the coordinates of Burger King are B (- 4, 6).a. Use the grid provided to plot the location of McDonald's and Burger King, and then **Level: 7-8**---**Problem 7:**The city is planning to build a road \( R \) that goes through McDonald's and Burger King. The two fast-food restaurants can easily be found on a grid of their city. The coordinates of McDonald's are \( M(2, -4) \) and the coordinates of Burger King are \( B(-4, 6) \).**Part a:**1. Use the grid provided to plot the location of McDonald's and Burger King.2. Write the equation of road \( R \) which passes through the two restaurants. - *Coordinates of McDonald's*: \( M(2, -4) \) - *Coordinates of Burger King*: \( B(-4, 6) \)*Graph Description:*The provided grid is a standard Cartesian coordinate plane with x and y axes ranging from -10 to 10. Each unit is marked and the axes intersect at the origin (0,0). **Steps to Plot:**- Plot McDonald's at point \( (2, -4) \).- Plot Burger King at point \( (-4, 6) \).- Draw a line through these two points to represent road \( R \).**Part b:**The city is also planning to build another road \( P \) that is the perpendicular bisector of the portion of road \( R \) between McDonald's and Burger King. Write down the equation of road \( P \).--- In summary, this problem involves plotting points on a coordinate plane and finding equations of lines based on specified conditions. Road \( R \) is determined by the coordinates of McDonald's and Burger King, while road \( P \) needs to be the perpendicular bisector of the segment connecting these two points.

7. The city is planning to build a road R that goes through McDonald's and Burger King. The two fast food restaurants can easily be found on a grid of their city. The coordinates of McDonald's are M(2,- 4) and the coordinates of Burger King are B(-4,6). a. Use the grid provided to plot the location of McDonald's and Burger King, and then write the equation of road R which passes through the two restaurants. -10 -8 -6 -4 -2 10 000 8 6 4 2 -2 -4 -6 -8 -10 NE 2 4 6 8 10

7. The city is planning to build a road R that goes through McDonald's and Burger King. The two fast food restaurants can easily be found on a grid of their city. The coordinates of McDonald's are M(2,- 4) and the coordinates of Burger King are B(-4,6). a. Use the grid provided to plot the location of McDonald's and Burger King, and then write the equation of road R which passes through the two restaurants. -10 -8 -6 -4 -2 10 000 8 6 4 2 -2 -4 -6 -8 -10 NE 2 4 6 8 10

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

See similar textbooks

Similar questions

Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.
Find the perimeter of the rectangle whose vertices are the points with coordinates (-1, 5), (3, 5), (3, -4),and (-1, -4).
Determine the equation that passes through the points of (6, 3) and (5, -6)
If Xmin = - 6, Xmax = 10, and Xscl = 2, how should Ymin, Ymax, and Yscl be selected so that the viewing rectangle containsthe point 14, 82 and the screen is square?
Find the area of the rectangle whose vertices are the points with coordinates (5, 2), (5, -6), (0, -6), and (0, 2).
What is the equation of the line that passes through the points(6,4) and (4,1)
what is the equation of a line that goes through the points (0,2) and (1,1)
A ball is tossed into the air so that the height after 1, 4, and 5 seconds is as given in the following table. If the relationship between the height of the bll (h) and the time (t) is quadratic, the the relationship can be written as h=at^2+bt+c Use the information in the table to write a system of three equations in three variables a, b, and c. Solve the system to find the exact relationship between h and t. t h 1 192 4 96 5 0 a=_________ b=_________ c=__________
Two adjacent vertices of a square are (1,2) and (-2,6).Find the other vertices. Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0. A line through the variable point A(k+1,2k) meets the lines 7x+y-16=0 ,5x-y-8=0,x-5y+8=0 at B,C,D, Prove t
The line that passes through points (4,9) and (-4,-3)
What is the equation of the line that passes through (-10, 8) and (4, 1)? OV = 3x +7 OV = - 3x + 3 x + 3 OV = +3
Determine the equation of the line that passes through (3,3) and (4,5)