Answer:
17.89
Solutions:
Asked: The distance between D(-10,2) and E(6,10).
Given: D(-10,2) and E(6,10)
Operation: Finding the distance.
Number Sentence: d² = (x₂ − x₁)² + (y₂ − y₁)²
Solution: x₁ = -10 x₂ = 6 y₁ = 2 y₂ = 10
d² = (x₂ − x₁)² + (y₂ − y₁)²
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2−x1)2+(y2−y1)2
d = \sqrt{(6 - (-10))^2 + (10 - 2)^2}(6−(−10))2+(10−2)2
d = \sqrt{(6 + 10)^2 + (10 - 2)^2}(6+10)2+(10−2)2
d= \sqrt{(16)^2 + (8)^2}(16)2+(8)2
d = \sqrt{256 + 64}256+64
d = \sqrt{320}320
d = 17.89
Answer: Therefore, the distance between D(-10,2) and E(6,10) is 17. 89.
