Given:
Post office is located at P(1,5).
Market is located at Q(4,9).
To find:
Distance between the post office and the market.
Solution:
Distance between two points is:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The post office is located at P(1,5) and the market is located at Q(4,9). So, the distance between the post office and the market is:
[tex]PQ=\sqrt{(4-1)^2+(9-5)^2}[/tex]
[tex]PQ=\sqrt{(3)^2+(4)^2}[/tex]
[tex]PQ=\sqrt{9+16}[/tex]
[tex]PQ=\sqrt{25}[/tex]
[tex]PQ=5[/tex]
The axes show distance in miles.
Therefore, the distance between the post office and the market is 5 miles.
