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QUESTION IMAGE

hallar la distancia entre los puntos (-5, 7) y (-5, 4). distancia:

Question

hallar la distancia entre los puntos (-5, 7) y (-5, 4). distancia:

Explanation:

Step1: Identify the distance formula for two - dimensional points

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 $x_1=-5,y_1 = 7,x_2=-5,y_2 = 4$.

Step2: Substitute the values into the formula

Since $x_1=x_2=-5$, then $(x_2 - x_1)^2=(-5+5)^2 = 0$. And $(y_2 - y_1)^2=(4 - 7)^2=(-3)^2 = 9$. So $d=\sqrt{0 + 9}$.

Step3: Calculate the distance

$d=\sqrt{9}=3$.

Answer:

3