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? 5 13 8 18
We can use the distance formula to find the distance between the two points:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates, we get:
distance = sqrt((-5 - (-9))^2 + (2 - 9)^2)
distance = sqrt(4^2 + (-7)^2)
distance = sqrt(16 + 49)
distance = sqrt(65)
To the nearest unit, the distance between your house and the subway stop is 8.
To find the distance between two points in a grid, you can use the distance formula, which is the square root of the sum of the squared differences in each coordinate.
The coordinates of the subway stop are (-5, 2), and the coordinates of your house are (-9, 9).
Using the distance formula, we can calculate the distance as follows:
The difference in the x-coordinates is: -5 - (-9) = -5 + 9 = 4.
The difference in the y-coordinates is: 2 - 9 = -7.
Now, we square each of these differences:
4^2 = 16
(-7)^2 = 49
Next, we sum the squared differences:
16 + 49 = 65
Finally, we take the square root of the sum to find the distance:
√65 ≈ 8.06
Therefore, the nearest unit distance between your house and the subway stop is 8 units, so the answer is 8.