Question

find the distance between the points (5, 4) and (5, 7). distance:

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 $x_1 = 5,y_1 = 4,x_2 = 5,y_2 = 7$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(5 - 5)^2+(7 - 4)^2}=\sqrt{0^2+3^2}$.

Step3: Calculate result

$\sqrt{0^2 + 3^2}=\sqrt{0 + 9}=\sqrt{9}=3$.

Answer:

3