Question

what is the distance between the points (15, 12) and (5, 12) in the coordinate plane?
a. 21 units
b. 10.5 units
c. 9 units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 15,y_1=12,x_2 = 5,y_2 = 12$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(5 - 15)^2+(12 - 12)^2}=\sqrt{(- 10)^2+0^2}$.

Step3: Simplify

$\sqrt{(-10)^2+0^2}=\sqrt{100 + 0}=\sqrt{100}=10$.

Answer:

None of the given options are correct. The distance is 10 units.