Question

calculate the distance between the points c=(0, 3) and l=(-8, -2) in the coordinate plane. give an exact answer (not a decimal approximation). try one last time. your answer is incorrect. distance:

Explanation:

Step1: Identificar fórmula de distancia

La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Aquí, $x_1 = 0,y_1 = 3,x_2=-8,y_2 = - 2$.

Step2: Sustituir valores

$d=\sqrt{(-8 - 0)^2+(-2 - 3)^2}=\sqrt{(-8)^2+(-5)^2}$.

Step3: Calcular exponentes y sumar

$\sqrt{64 + 25}=\sqrt{89}$.

Answer:

$\sqrt{89}$