Question

Find the distance between the two points. Round to the nearest tenth if necessary. (2, 5) and (–1, –5)

Answer 1

The distance between the two points (2, 5) and (–1, –5) is 10.44 units .

Explanation:

Formula

`Distance\ formula = \sqrt{(x_(2)-x_(1))^(2) +(y_(2)-y_(1))^(2) }`

As the points are (2, 5) and (–1, –5).

`Distance = \sqrt{(-1 - 2)^(2) +(-5 -5)^(2)}`

`Distance = \sqrt{(-3)^(2) +(-10)^(2)}`

`Distance = √(9 + 100)`

`Distance = √(109)`

`√(109) = 10.44`

Distance = 10.44 units (Approx)

Therefore the distance between the two points (2, 5) and (–1, –5) is 10.44 units .

Answer 2

d =
`\sqrt{(2-(-1)) ^(2) +(5-(-5)) ^(2) } = \sqrt{(2+1) ^(2) +(5+5) ^(2) } = \\ \sqrt{ 3^(2)+ 5^(2) }= √(9+100)= √(109)`
d = 10.44 ≈ 10.4
Answer: The distance between two points is 10.4