Find the distance between the points (-3, 11) and (5, 5).

Solution:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the relationship:

Distance between the two points = d = √[(x₂ − x₁)² + (y₂ − y₁)²]

= \(\sqrt{(5-(-3))^{2} + (5-(11))^{2}}\)

= \(\sqrt{(8)^{2} + (-6)^{2}}\)

= \(\sqrt{64 +36}\)

= √100

d = 10

Find the distance between the points (-3, 11) and (5, 5).

Summary:

The distance between the points (-3, 11) and (5, 5) is 10.