Question

Find the distance between the points (0,0) and (4,0)

Answer 1

The distance between two given points = 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.

(0,0) and (4,0)

Here (x₁, y₁) = (0, 0) and (x₂, y₂) = (4,0)

To find the distance

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (0 - 0)² = √16 = 4

Therefore the distance = 4

Answer 2

4

Explanation:

We can use the distance formula to solve this.

Distance Formula =
`√((y_2-y_1)^2+(x_2-x_1)^2)`

Where
`(x_1, y_1)` is the first point (here, x_1 = 0 and y_1 = 0)

and

`(x_2,y_2)` is the second point (here, x_2 = 4, and y_2 = 0)

Plugging these points into the formula, we will get the distance:

`√((y_2-y_1)^2+(x_2-x_1)^2) \\=√((0-0)^2+(4-0)^2) \\=√((0)^2+(4)^2) \\=√((4)^2) \\=√(16) \\=4`

The distance is 4.