Question

the coordinates of point a are (-5, -12). the coordinates of point h are (-10, -9). determine the length of segment ah. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point a: (?,?) coordinates (x2, y2) of point h: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment ah is yards

Explanation:

Step1: Identify coordinates

For point A, $(x_1,y_1)=(-5,-12)$; for point H, $(x_2,y_2)=(-10,-9)$.

Step2: Substitute into distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(-10-(-5))^2+(-9 - (-12))^2}$
$=\sqrt{(-10 + 5)^2+(-9+12)^2}=\sqrt{(-5)^2+3^2}$

Step3: Calculate values

$=\sqrt{25 + 9}=\sqrt{34}$

Answer:

$\sqrt{34}$