Question

coordinates (x1,y1) of point a: (5, - 3)
coordinates (x2,y2) of point e: (11, - 8)
d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}
d = \sqrt{( - 6)^2+(5)^2}
d =
the distance between alvins house and eduardos house is blocks

Explanation:

Step1: Identify coordinate values

Let $(x_1,y_1)=(5, - 3)$ and $(x_2,y_2)=(11,-8)$.

Step2: Substitute into distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(11 - 5)^2+(-8+3)^2}=\sqrt{(6)^2+(-5)^2}$.

Step3: Calculate squares and sum

$\sqrt{36 + 25}=\sqrt{61}$.

Answer:

$\sqrt{61}$