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?

Question

07-01-2017
Mathematics

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?

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bireland203 bireland203 · Answer 1 · 2017-01-07T05:56:15+01:00

bireland203 bireland203

07-01-2017

Use the distance formula!

d = square root of (x2-x1)^2 + (y2-y1)^2

=19.4165

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JeanaShupp JeanaShupp · Answer 2 · 2019-03-22T17:06:32+01:00

Answer: 19 units

Step-by-step explanation:

Given: The subway stop is located at (7, -6) and house is located at (-9, 5).

The distance formula to find distance between [tex](x_1,y_1)\ and (x_2,y_2)[/tex] is given by :-

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the distance between house(-9, 5) and the subway stop(7, -6) is given by :-

[tex]d=\sqrt{(7-(-9))^2+(-6-5)^2\\\\\Rightarrow\ d=\sqrt{(16)^2+(-11)^2}}\\\\\Rightarrow\ d=\sqrt{256+121}\\\\\Rightarrow\ d=\sqrt{377}\\\\\Rightarrow\ d=19.4164878389\approx19\ units[/tex]