Question

Find the distance between the points (2,0) and (-4,6)

Answer 1

let's see what to do buddy...

Explanation:

We have this equation to find the distance between two points :

a = ( 2 , 0 ) and b = ( -4 , 6 )

`distance = \sqrt{ {( \: y(b) - y(a) \: })^(2) + ( \: {x(b) - x(a)} \: )^(2) } \\`

Now just need to put the coordinates in the equation :

`distance = \sqrt{ ({6 - 0})^(2) + ({ - 4 - 2})^(2) } \\ distance = \sqrt{ {6}^(2) + ({ - 6})^(2) } = √(36 + 36) \\ distance = √(36 * 2) = 6 √(2)`

And we're done.

Thanks for watching buddy good luck.

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