Question

Find the distance between the points given.

Answer 1

Answer:

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

Answer 2

Answer:

4

Step-by-step explanation:

To solve this we are using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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 $y_2=\sqrt{7}$. Let's replace the values in our formula to find the distance between the points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(0--3)^2+(\sqrt{7}-0)^2 }$

$d=\sqrt{(3)^2+(\sqrt{7})^2 }$

$d=\sqrt{9+7}$

$d=\sqrt{16}$

$d=4$

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