Question

Amit’s school is 5 km to the west and 3 km north of his house. He represented his house and his

school on a coordinate grid, with his house located at the origin, and the positive x axis

represent the direction that is east of his house. If 1 unit on the coordinated grid represents 1 km,

what will be the coordinate of his school?

a. (5,3)

b. (3,5)

c. (–5,3)

d. (–3,5)​

Answer 1

Answer:

-5 , 3 is the correct answer

Answer 2

Answer:

(-5,3)

Step-by-step explanation:

Coordinate of his house ≡ (0,0)

Given that positive x axis represent the direction that is east of his house, then

i) negative x axis must represent the direction that is west of his house.

ii) positive y axix must represent the direction that is north of his house,

iii) negative y axis must represent the direction that is south of his house.

Now, since his school is 5 km to the west and 3 km north of his house, this means that 5 unitss on negative x axis and 3 units on positive y axis.

hence coordinate of his house will be (-5,3).

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