Find the distance between the points R(0,5) and S(12,3). Round the answer to the nearest tenth.
(1 point)
Responses
10.4
10.4
16
16
12.2
12.2
11.8
The distance between the points R(0,5) and S(12,3) can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of R and S:
d = √((12 - 0)^2 + (3 - 5)^2)
= √(12^2 + (-2)^2)
= √(144 + 4)
= √148
≈ 12.2
The rounded answer to the nearest tenth is 12.2.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Let's plug in the coordinates of the points R(0,5) and S(12,3) into the distance formula:
d = √((12 - 0)² + (3 - 5)²)
Simplifying:
d = √(12² + (-2)²)
d = √(144 + 4)
d = √148
d ≈ 12.2 (rounded to the nearest tenth)
Therefore, the distance between the points R(0,5) and S(12,3) is approximately 12.2 units.