Question

find the distance between c(9, -3) and d(-6, 14) and round to the nearest 100th.

Explanation:

Step1: Identificar las coordenadas

$x_1 = 9$, $y_1=-3$, $x_2=-6$, $y_2 = 14$

Step2: Aplicar la fórmula de distancia

$$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$$
$$d=\sqrt{(-6 - 9)^2+(14-(-3))^2}$$

Step3: Calcular los valores dentro de la raíz

$$(-6 - 9)=-15$$, $$(14 + 3)=17$$
$$d=\sqrt{(-15)^2+17^2}$$
$$d=\sqrt{225 + 289}$$

Step4: Sumar y calcular la raíz

$$d=\sqrt{514}$$
$$d\approx22.67$$

Answer:

$22.67$