Please help me.
Find the distance between the points A and B shown on the
coordinate plane.
A
A. 13 units
B. 11.5 units
C. 12.1 units
D. 11.2 units

Please help me Find the distance between the points A and B shown on the coordinate plane A A 13 units B 115 units C 121 units D 112 units class=

Respuesta :

Answer:

d = 12.1 units

Step-by-step explanation:

Given

  • A(-6, 6)
  • B(5, 1)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]d=\sqrt{\left(5-\left(-6\right)\right)^2+\left(1-6\right)^2}[/tex]

  [tex]=\sqrt{\left(5+6\right)^2+\left(1-6\right)^2}[/tex]

  [tex]=\sqrt{11^2+5^2}[/tex]

  [tex]=\sqrt{146}[/tex]

d = 12.1 units