which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a…

which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid?\n$d = \\sqrt{(6 - 3)^2+(9-(-2))^2}$\n$d = \\sqrt{(6 + 3)^2+(9+(-2))^2}$\n$d = \\sqrt{(6 - 9)^2+(3-(-2))^2}$\n$d = \\sqrt{(6 + 9)^2+(3+(-2))^2}$

which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid?\n$d = \\sqrt{(6 - 3)^2+(9-(-2))^2}$\n$d = \\sqrt{(6 + 3)^2+(9+(-2))^2}$\n$d = \\sqrt{(6 - 9)^2+(3-(-2))^2}$\n$d = \\sqrt{(6 + 9)^2+(3+(-2))^2}$

Answer

Explanation:

Step1: Recuerda la fórmula de distancia

La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identifica los valores de los puntos

Dados los puntos $(9,-2)$ y $(6,3)$, aquí $x_1 = 9$, $y_1=-2$, $x_2 = 6$ y $y_2 = 3$.

Step3: Sustituye los valores en la fórmula

$d=\sqrt{(6 - 9)^2+(3-(-2))^2}$.

Answer:

$d=\sqrt{(6 - 9)^2+(3-(-2))^2}$