Find the distance between the points given.

(-3, 0) and (0, √7)

√2
4
√(13)

4

Step-by-step explanation:

To solve this we are using the distance formula:

where

are the coordinates of the first point

are the coordinates of the second point

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

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

The correct answer is 4

Step-by-step 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

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