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APPLICATIONS
Halfway Point Two friends live in the city described in Exercise 53, one at the corner of 3rd St. and 7th Ave. and the other at the corner of 27th St. and 17th Ave. They frequently meet at a coffee shop halfway between their homes.
(a) At what intersection is the coffee shop located?
(b) How far must each of them walk to get to the coffee shop?
53. Distances in a City A city has streets that run north and south and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points A and B is 7 blocks—that is, 3 blocks east and 4 blocks north. To find the straight-line distance d, we must use the Distance Formula.
(a) Find the straight-line distance (in blocks) between A and B.
(b) Find the walking distance and the straight-line distance between the corner of 4th St. and 2nd Ave and the corner of 11th St and 26th Ave.
(c) What must be true about the point P and Q if the walking distance between P and Q equals the straight-line distance between P and Q?
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Chapter 1 Solutions
Algebra and Trigonometry (MindTap Course List)
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