A grid shows the positions of a subway stop and your house. The subway stop is located at (7, −7) and your house is located at (−3, 3). What is the
distance, to the nearest unit, between your house and the subway stop?
Ah, the thrilling world of Cartesian coordinates! Let's calculate the distance between your house and the subway stop.
Using the good ol' distance formula, we just need to plug in the coordinates of the subway stop (7, -7) and your house (-3, 3).
So, the formula goes like this:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the values:
Distance = √[(7 - (-3))^2 + (-7 - 3)^2]
Distance = √[(10)^2 + (-10)^2]
Distance = √[100 + 100]
Distance = √200
Distance ≈ 14
Therefore, the distance between your house and the subway stop is approximately 14 units. Just be careful not to take any detours through the clown district! 🤡🚂
To find the distance between two points in a grid, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) represents the coordinates of one point and (x2, y2) represents the coordinates of the other point.
In this case, the coordinates of the subway stop are (7, -7) and the coordinates of your house are (-3, 3).
Using the formula:
d = sqrt((7 - (-3))^2 + (-7 - 3)^2)
= sqrt(10^2 + (-10)^2)
= sqrt(100 + 100)
= sqrt(200)
To find the distance to the nearest unit, we round the square root of 200 to the nearest whole number:
d ≈ sqrt(200)
≈ 14.14
Therefore, the distance between your house and the subway stop, to the nearest unit, is approximately 14 units.
To find the distance between two points in a grid, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the distance between two points (x1, y1) and (x2, y2) as:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the subway stop is located at (7, -7) and your house is located at (-3, 3). We can substitute these values into the distance formula:
d = √((7 - (-3))^2 + ((-7) - 3)^2)
d = √((7 + 3)^2 + (-7 - 3)^2)
d = √(10^2 + (-10)^2)
d = √(100 + 100)
d = √200
To get the distance to the nearest unit, we need to round the value of √200. Since the square root of 200 is approximately 14.14213562, rounding it to the nearest whole number gives us 14.
Therefore, the distance, to the nearest unit, between your house and the subway stop is 14 units.
as the crow flies, the distance is
√((-3-7)^2 + (3+7)^2) = √(100+100) = √200 = 10√2 = 14.14
if you have to walk along a rectangular grid, then the distance is
|-3-7| + |3+7| = 10+10 = 20
If this is unclear, plot the two points and it should be more obvious.