Question

distance between the two points rounding to the y). (7, -4) and (0, 5)

Explanation:

Step1: Recall 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, $x_1 = 7,y_1=-4,x_2 = 0,y_2 = 5$.

Step2: Substitute values

$d=\sqrt{(0 - 7)^2+(5-(-4))^2}=\sqrt{(-7)^2+(5 + 4)^2}=\sqrt{49+81}$.

Step3: Calculate sum under square - root

$d=\sqrt{130}$.

Step4: Approximate the value

$d\approx11.40$ (rounded to two decimal places).

Answer:

$11.40$