Answer:
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 = [tex]\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2}}[/tex]
Or, 8 = [tex]\sqrt{( - 2- x)^{2} + (5 - 3)^{2}}[/tex]
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 = [tex]\frac{-b\pm \sqrt{(b^{2}-4\times a\times c)}}{2a}[/tex]
So, x = [tex]\frac{-4\pm \sqrt{(4^{2}-4\times 1\times (-56))}}{2a}[/tex]
Or, x = [tex]\frac{-16\pm \sqrt{240}}{2}[/tex]
So, x = 5.74 , - 9.74
Hence The distance between given points are 5.74 Answer
