Question

Given the points X (-1,2) and Y (4,0), find XY. What is this answer in decimals?

a) 6
b) 5
c) 3.605
d) 2.236

Answer 1

To find the distance between points X(-1,2) and Y(4,0), we can use the distance formula. The distance XY is approximately 5.385 units.

Step-by-step explanation:

To find the distance between points X(-1,2) and Y(4,0), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of the points, we get:

d = sqrt((4 - (-1))^2 + (0 - 2)^2)

d = sqrt((5)^2 + (-2)^2)

d = sqrt(25 + 4)

d = sqrt(29)

Therefore, the distance XY is approximately 5.385 units. Hence, the correct answer is option (d) 2.236 in decimals.