Question

Find the distance between A and B.

A. 2√5 Units
B. √6 Units
C. 4 Units
D. 2√3 Units

Answer 1

Answer:

The result is $d = 2\sqrt{5}$ units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

$d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2}$ Where the first coordinate is $(x_{1},y_{1})$ and  the second coordinate is $(x_{2}, y_{2})$.

-Use the coordinates A and B for the equation:

$d = \sqrt{(2+2)^2 + (2-0)^2}$

-Then, you solve the equation:

$d = \sqrt{(2+2)^2 + (2-0)^2}$

$d = \sqrt{(4)^2 + (2)^2}$

$d = \sqrt{16 + 4}$

$d = \sqrt{20}$

$d = 2\sqrt{5}$

So, therefore the distance is $2\sqrt{5}$ units.