Question

the distance between kenyas house and darius house is
d = sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}
d=sqrt{(\text{-}6)^2+(4)^2}
coordinates of point d: (13, 9)
coordinates of point k: (7, 13)
blocks

Explanation:

Step1: Identify the coordinates

Let $(x_1,y_1)=(7,13)$ and $(x_2,y_2)=(13,9)$.

Step2: Apply the distance formula

The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute the values: $x_2 - x_1=13 - 7 = 6$ and $y_2 - y_1=9 - 13=-4$. Then $d=\sqrt{(6)^2+(-4)^2}=\sqrt{36 + 16}=\sqrt{52}=2\sqrt{13}\approx 7.21$.

Answer:

$2\sqrt{13}\approx7.21$