Find the distance between the two points. Round to the nearest tenth.
R(5,2),S(-2,4)
Using the distance formula, we can calculate the distance between the two points. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point R are (5,2) and the coordinates of point S are (-2,4). Plugging these values into the distance formula, we get:
d = sqrt((-2 - 5)^2 + (4 - 2)^2)
= sqrt((-7)^2 + (2)^2)
= sqrt(49 + 4)
= sqrt(53)
Rounding to the nearest tenth, the distance between the two points is approximately 7.3.
To find the distance between two points in a plane, you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between points R(5,2) and S(-2,4).
First, identify the coordinates of the two points:
Point R(5,2): x1 = 5, y1 = 2
Point S(-2,4): x2 = -2, y2 = 4
Now, substitute these values into the distance formula:
d = √((-2 - 5)^2 + (4 - 2)^2)
This simplifies to:
d = √((-7)^2 + (2)^2)
d = √(49 + 4)
d = √53
Now, round the result to the nearest tenth:
d ≈ √53 ≈ 7.3
Therefore, the distance between points R(5,2) and S(-2,4) is approximately 7.3 units.