Question

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 104 miles due north of the warehouse.

Coordinate grid shown from negative 78 to positive 78 on x axis at intervals of 13 and negative 78 to positive 78 on y axis at intervals of 13. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 39, 52, and Warehouse is the ordered pair 39 and negative 52. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.

A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

130
169
201
208

Answer 1

The answer is 169 trust

Answer 2

step 1

find the coordinates of the factory

the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)

coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport

let

A coordinates of warehouse-------> A( 39,-52)

B coordinates of airport---------> B(-39,52)

C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3

find the distance airport to factory

B(-39,52)

C(39,52)

distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39

the total number of miles=169 miles

Thus the answer is 169