Answer:
4
Step-by-step explanation:
To solve this we are using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where
[tex](x_1,y_1)[/tex] are the coordinates of the first point
[tex](x_2,y_2)[/tex] are the coordinates of the second point
We know that the first point is (2, –6), so [tex]x_1=-3[/tex] and [tex]y_1=0[/tex]. The second point is (0, √7), so [tex]x_2=0[/tex] and [tex]y_2=\sqrt{7}[/tex]. Let's replace the values in our formula to find the distance between the points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0--3)^2+(\sqrt{7}-0)^2 }[/tex]
[tex]d=\sqrt{(3)^2+(\sqrt{7})^2 }[/tex]
[tex]d=\sqrt{9+7}[/tex]
[tex]d=\sqrt{16}[/tex]
[tex]d=4[/tex]
We can conclude that the distance between (-3, 0) and (0, √7) is 4.
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
