Question

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

Answer 1

d = 12.1 units

Explanation:

Given

• A(-6, 6)

• B(5, 1)

`\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad √(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

`d=√(\left(5-\left(-6\right)\right)^2+\left(1-6\right)^2)`

`=√(\left(5+6\right)^2+\left(1-6\right)^2)`

`=√(11^2+5^2)`

`=√(146)`

d = 12.1 units