a grid shows the positions of a subway stop and your house the subway stop is located at (4,-2) and your house is located at(-9,-6) what is the distance to the nearest. unit between your house and the subway
A.6
B.9
C.14
D.15
To find the distance between two points using the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates of the subway stop (4, -2) and your house (-9, -6):
Distance = √((4-(-9))^2 + (-2-(-6))^2)
Distance = √((13)^2 + (4)^2)
Distance = √(169 + 16)
Distance = √185
Distance ≈ 13.60
So, the nearest unit distance between your house and the subway stop is 14, which is option C.
Are you sure
I apologize for the error in my calculation. Let's redo the calculation correctly:
Distance = √((4-(-9))^2 + (-2-(-6))^2)
Distance = √((13)^2 + (4)^2)
Distance = √(169 + 16)
Distance = √185
The square root of 185 is approximately 13.60, so the nearest whole number distance between your house and the subway stop is 14. Therefore, the correct answer is:
C. 14