Question

what is the distance between the points (22, 12) and (4, 12) in the coordinate plane?
a. 18 units
b. 10 units
c. 9 units

Explanation:

Step1: Identify the distance formula for two - dimensional points.

For two points $(x_1,y_1)$ and $(x_2,y_2)$ in the coordinate plane, the distance $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 22,y_1=12,x_2 = 4,y_2 = 12$.

Step2: Substitute the values into the formula.

$d=\sqrt{(4 - 22)^2+(12 - 12)^2}=\sqrt{(- 18)^2+0^2}=\sqrt{324}=18$.

Answer:

A. 18 units