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 (

Question

3 years ago

12

-9, 5). What is the distance, to the nearest unit, between your house and the subway stop? 24 21 19 29

1 answer:

Yuri [45] · Answer 1 · 2022-06-23T11:15:36+03:00

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

$d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units$

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

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