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 12th St. and 17th Ave.

Question

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 12th St. and 17th Ave.

(c) What must be true about the points P and Q if the walking distance between P and Q equals the straight-line distance between P and Q

-Points P and Q must be on the same street and the same avenue.
-Points P and Q must either be on the same street or the same avenue.     -Points P and Q must be on different streets and different avenues.
-Points P and Q must either be on different streets or different avenues.
-There is not enough information.

 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Equations and In-equations

Related Algebra Q&A

Find answers to questions asked by students like you.