Find x so that the distance between the two points (x,3) and (-2,5) is 8.

The distance between given points are 5.74

Step-by-step explanation:

Given as :

The Distance of line = 8

The points which join the line is ( x , 3 )  And  ( - 2 , 5 )

So, From distance formula

Distance =

Or, 8 =  

Or, 8² =  (- x - 2)² + 2²

Or, 64 - 4 = (-1)²(x + 2)²

Or  60 = x² + 4x + 4

Or, x² + 4x - 56 = 0

Or  x =

So, x =  

Or, x =

So, x = 5.74 , - 9.74

Hence The distance between given points are 5.74 Answer

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step-by-step explanation: