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Mandarinka [93]
3 years ago
9

A grid shows the positions of a subway stop and your house. The subway stop is located at (-7, 8) and your house is located at (

6, 4). What is the distance, to the nearest unit, between your house and the subway stop?
Mathematics
2 answers:
MrRa [10]3 years ago
7 0
Distance between <span>(-7, 8) and (6, 4)
= </span>√ [ (4-8)^2 + (6-(-7))^2 ]
= √ [ (-4)^2 + (13)^2 ]
= √ [ 16 + 169 ]
= √ [ 185 ]
= 13.60
which is <span>14 units</span>
olasank [31]3 years ago
6 0

Answer:

Distance is 13.6 units.  

Step-by-step explanation:

Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).

we have to find the distance between house and the subway stop.

Points are (-7, 8) and (6, 4).

Using distance formula,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(6-(-7))^2+(4-8)^2}\\\\=\sqrt{(13)^2+16}\\\\=\sqrt{169+16}=\sqrt{185}=13.60147\sim13.6units.

Hence, distance between house and the subway stop is 13.6 units.

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