Question

Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24

Answer 1

≈ 4.12 units

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d =
`√((-1-3)^2+(9-8)^2)`

=
`√((-4)^2+1^2)`

=
`√(16+1)`

=
`√(17)`

≈ 4.12 ( to the nearest hundredth )

Answer 2

The distance between given points is: 4.12 units

Explanation:

Given points are:

(3, 8) and (-1, 9)

Here

`(x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)`

The distance is calculated using the following formula:

`d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Putting the values, we get

`d = √((-1-3)^2+(9-8)^2)\\d = √((-4)^2+(1)^2)\\d = √(16+1)\\d = √(17)\\d = 4.123105...`

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units