Question

coordinates (x1,y1) of point a: (7,11) coordinates (x2,y2) of point u: (7,6) d = √((x2 - x1)²+(y2 - y1)²) d = √((7 - 7)²+(6 - 11)²) d = √(0²+(- 5)²) d = 5 the length of segment au is | | feet

Explanation:

Step1: Identify the 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, $A(x_1,y_1)=(7,11)$ and $U(x_2,y_2)=(7,6)$.

Step2: Substitute the values

Substitute $x_1 = 7$, $y_1 = 11$, $x_2 = 7$, and $y_2 = 6$ into the formula:
$d=\sqrt{(7 - 7)^2+(6 - 11)^2}=\sqrt{0+( - 5)^2}=\sqrt{0 + 25}=\sqrt{25}$.

Step3: Calculate the square - root

$\sqrt{25}=5$.

Answer:

5