Question

1. find the length between c(6, -4) and d(2, -3).

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates

Here $x_1 = 6,y_1=-4,x_2 = 2,y_2=-3$.

Step3: Substitute values

$d=\sqrt{(2 - 6)^2+(-3+4)^2}=\sqrt{(-4)^2 + 1^2}=\sqrt{16 + 1}=\sqrt{17}$.

Answer:

$\sqrt{17}$