Question

Your house is located at (-4, 3), which is 4 blocks and 3 blocks north of the center of town. To get from your house to the mall, you walk 7 blocks east and 4 blocks south.

a. What ordered pair corresponds to the location of the mall?
b. Is your house or the mall closer to the center of town? Explain.

(NOT A MULTIPLE CHOICE)

Answer 1

9514 1404 393

Answer:

a) (3, -1)

b) the mall

Explanation:

1) We assume the missing word is "west". The walk to the mall represents a change of (7, -4) from your coordinates of (-4, 3). The mall's coordinates are ...

(-4, 3) +(7, -4) = (-4+7, 3-4) = (3, -1) . . . . coordinates of the mall

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2) One of the orthogonal distances (3) is the same for each location. The location with the least number of blocks in the other direction will be closer to the center of town. (3, -1) is closer to the town center than (-4, 3).

The mall is closer to the center of town.