Question

hallar la distancia entre los puntos (-5, 4) y (3, 4).

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 $x_1=-5,y_1 = 4,x_2 = 3,y_2=4$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(3-(-5))^2+(4 - 4)^2}=\sqrt{(3 + 5)^2+0^2}$.

Step3: Simplify the expression

First, calculate $(3 + 5)^2=8^2 = 64$ and $0^2=0$. So $d=\sqrt{64+0}=\sqrt{64}$.

Step4: Find the square - root

$\sqrt{64}=8$.

Answer:

8