Question

(4,0) , (-8,0) calculate the distance between the given points

Answer 1

Given are two values.

Let :-

`4 = {x}^(1)`

`0 = {y}^(1)`

`- 8 = {x}^(2)`

`0 = {y}^(2)`

By distance formula,

`\sqrt{ ({x}^(2) - {x}^(1))^(2) + ( {y}^(2) - {y}^(1))^(2) }`

`\sqrt{ (- 8 - 4)^(2) + (0 - 0) ^(2) }`

`\sqrt{( - 12)^(2) + 0^(2) }`

`√(144 + 0)`

`12`

Therefore, the distance is 12

Answer 2

12

Explanation:

Using formula

distance =
`\sqrt{ (y2 - y1)^(2) + (x2- x1)^2}`

Then input the values:

Distance =
`\sqrt{ (0 - 0)^(2) + (-8- 4)^2}`

=
`√(0 + 144)`

= 12