Question

Find the distance between the points given.

(-3, 0) and (0, √7)

√2
4
√(13)

Answer 1

The correct answer is 4

Explanation:

Distance formula

Let (x₁, y₁) and (x₂, y₂) be the two points, the distance between two points is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

It is given two points (-3, 0) and (0, √7)

To find the distance

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 - - 3)² + (√7 - 0)²]

= √[(0 + 3)² + (√7)²]

=√[(3)² + (√7)²]

= √(9 + 7) = √16 = 4

Therefore the correct answer is 4

Answer 2

4

Explanation:

To solve this we are using the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

where

`(x_1,y_1)` are the coordinates of the first point

`(x_2,y_2)` are the coordinates of the second point

We know that the first point is (2, –6), so
`x_1=-3` and
`y_1=0`. The second point is (0, √7), so
`x_2=0` and
`y_2=√(7)`. Let's replace the values in our formula to find the distance between the points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`d=\sqrt{(0--3)^2+(√(7)-0)^2 }`

`d=\sqrt{(3)^2+(√(7))^2 }`

`d=√(9+7)`

`d=√(16)`

`d=4`

We can conclude that the distance between (-3, 0) and (0, √7) is 4.