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 tenth unit between your house and the stop?
Ah, I see you've got quite the commute conundrum! Let's put on our mathematical clown noses and figure this out.
To find the distance between two points on a grid, we can use the handy-dandy distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
Using the coordinates you provided, we can plug in the values:
d = √((-5 - (-9))² + (2 - 9)²)
Simplifying inside the parentheses:
d = √(4² + (-7)²)
d = √(16 + 49)
Calculating:
d ≈ √65
Now, let's round that distance to the nearest tenth:
d ≈ 8.1 (units)
So, the approximate distance, to the nearest tenth, between the subway stop and your house is 8.1 units. Just enough time for a clown costume change before the train arrives!
To calculate the distance between two points in a coordinate plane, you can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, 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:
Distance = sqrt((-9 - (-5))^2 + (9 - 2)^2)
= sqrt((-4)^2 + (7)^2)
= sqrt(16 + 49)
= sqrt(65)
Rounding to the nearest tenth unit, the distance between your house and the subway stop is approximately 8.1 units.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the subway stop are (-5, 2) and the coordinates of your house are (-9, 9). Let's label them as (x1, y1) and (x2, y2).
Plugging these values into the distance formula, we get:
d = sqrt((-9 - (-5))^2 + (9 - 2)^2)
Simplifying further:
d = sqrt((-4)^2 + (7)^2)
d = sqrt(16 + 49)
d = sqrt(65)
To find the distance to the nearest tenth unit, we can round the square root of 65 to the nearest tenth using either a calculator or estimation. The square root of 65 is approximately 8.06.
Therefore, the distance to the nearest tenth unit between your house and the subway stop is 8.1 units.
A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit, between your house and the subway stop
distance = √( -5+9)^2 + (2-9)^2 )
= √(16+49)
= √65