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

Question

expeople1 [14]

3 years ago

10

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

3,6). What is the distance, to the nearest unit, between your house and the subway stop.

Mathematics

1 answer:

Anna007 [38] · Answer 1 · 2022-03-04T08:43:24+03:00

Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units