Question

the coordinates of point a are (7, 11). the coordinates of point u are (). determine the length of segment au. enter the coordinates of the two given points and then calculate the d them. coordinates (x1, y1) of point a: drop - down. coordinates (x2, y2) of point u: (?, ?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = blank. the length of segment au is blank feet

Explanation:

Step1: Identify point A coordinates

Given point A has coordinates $(x_1,y_1)=(7,11)$. But the coordinates of point U are not given in the problem statement. Let's assume the coordinates of point U are $(x_2,y_2)$.

Step2: Use distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substituting $x_1 = 7$ and $y_1=11$, we get $d=\sqrt{(x_2 - 7)^2+(y_2 - 11)^2}$. Since we don't have the actual values of $(x_2,y_2)$ for point U, we can't calculate a numerical value for the distance.

If we assume point U has coordinates $(x_2,y_2)=(a,b)$:

Step1: Substitute values into formula

$d=\sqrt{(a - 7)^2+(b - 11)^2}=\sqrt{a^{2}-14a + 49+b^{2}-22b + 121}=\sqrt{a^{2}+b^{2}-14a-22b + 170}$.

Since the coordinates of U are missing in the provided problem, we can't give a specific numerical answer. If we had the coordinates of U, say $(x_2,y_2)=(3,5)$:

Step1: Identify values for formula

$x_1 = 7,y_1 = 11,x_2 = 3,y_2 = 5$.

Step2: Calculate differences

$x_2 - x_1=3 - 7=-4$ and $y_2 - y_1=5 - 11=-6$.

Step3: Apply distance formula

$d=\sqrt{(-4)^2+(-6)^2}=\sqrt{16 + 36}=\sqrt{52}=2\sqrt{13}$.

If we assume the coordinates of U are $(x_2,y_2)$:

Answer:

$d=\sqrt{(x_2 - 7)^2+(y_2 - 11)^2}$