A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop? (There isn't an image)
Using the distance formula, we have:
distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Setting (x1, y1) = (-5, 2) and (x2, y2) = (-9, 9), we get:
distance = √[(-9 - (-5))^2 + (9 - 2)^2]
distance = √[(-4)^2 + 7^2]
distance = √(16 + 49)
distance = √65
distance ≈ 8
Therefore, the distance, to the nearest unit, between your house and the subway stop is 8.
To find the distance between two points, we can use the distance formula.
The distance formula is given by:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) represents the coordinates of the subway stop (-5, 2), and (x2, y2) represents the coordinates of your house (-9, 9).
Let's substitute the values into the formula:
distance = √((-9 - (-5))^2 + (9 - 2)^2)
= √((-9 + 5)^2 + (9 - 2)^2)
= √((-4)^2 + (7)^2)
= √(16 + 49)
= √65
So, the distance between your house and the subway stop, to the nearest unit, is approximately √65, which is approximately 8 units.