The following map shows the layout of City A. In the map, the hospital is 3 km to the east of the housing complex and 2 km north from that point. If so, how far is the mall from the city center at (0,0)?
(Scale: 1 unit = 1 km)

2 km

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3 km

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5 km

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4 km

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Solution

The correct option is D 4 km
Let the location of the hospital be P.

The hospital P is 3 km to the east of the housing complex H.

So, we move 3 units to the right of H.

Next, we move 2 units to the top.

Hence, the coordinates of the hospital P on the map are P(0,4).

Measuring the distance from the city center at (0,0) to the hospital at P(0,4), we get:

Hence, the hospital is 4 km away from the city center.

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The following map shows the layout of City A. In the map, the hospital is 3 km to the east of the housing complex and 2 km north from that point. If so, how far is the mall from the city center at (0,0)? (Scale: 1 unit = 1 km)

The following map shows the layout of City A. In the map, the hospital is 3 km to the east of the housing complex and 2 km north from that point. If so, how far is the mall from the city center at (0,0)?
(Scale: 1 unit = 1 km)