Ukaiine
contestada

What is the distance between two points (6,-3) and (8,5)?

A. 6.24 units
B. 8.24 units
C. 7.24 units

Respuesta :

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{6}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[8-6]^2+[5-(-3)]^2}\implies d=\sqrt{(8-6)^2+(5+3)^2} \\\\\\ d=\sqrt{2^2+8^2}\implies d=\sqrt{68}\implies d\approx 8.24[/tex]

Answer:

B. 8.24 units

Step-by-step explanation:

the distance between two points is given by

√(x₂₋x₁)²+ (y₂-y₁)²

x₂=8, x₁=6

y₂=5, y₁= -3

√(8-6)² + (5- (-3))²

√2²+ (5 + 3)²

√4 + 8²

√4 + 64

√68 = 8.24 units