Final answer:
To calculate the length of RS with endpoints R(2, 3) and S(4, -1), we can use the distance formula. Approximating to the nearest tenth, the length of RS is approximately 4.5.
Step-by-step explanation:
To calculate the length of RS with endpoints R(2, 3) and S(4, -1), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates for R(2, 3) and S(4, -1), we have:
d = sqrt((4 - 2)^2 + (-1 - 3)^2)
d = sqrt(2^2 + (-4)^2)
d = sqrt(4 + 16)
d = sqrt(20)
Approximating to the nearest tenth, we have:
d ≈ 4.5