whbleu
contestada

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-6) and your house is located at (-9,5). What is the distance, to the nearest unit, between your house and the subway stop?

Respuesta :

Answer:

The distance is [tex]19\ units[/tex]

Step-by-step explanation:

The formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

In this problem

Let

[tex]Subway\ Stop(7,-6)\\House(-9,5)[/tex]  

substitute the values

[tex]d=\sqrt{(5+6)^{2}+(-9-7)^{2}}[/tex]

[tex]d=\sqrt{(11)^{2}+(-16)^{2}}[/tex]

[tex]d=\sqrt{377}\ units[/tex]

[tex]d=19\ units[/tex]

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