Question

find the length of cd. round to the nearest tenth. (use distance formula)
d(-1,3)
a(-4,1)
c(3,1)
d(0, - 1)

a. 3.6
b. 4.5
c. 5.4
d. 2.8

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 of C and D

For points $C(3,1)$ and $D(0, - 1)$, we have $x_1 = 3,y_1=1,x_2 = 0,y_2=-1$.

Step3: Substitute values into formula

$d=\sqrt{(0 - 3)^2+(-1 - 1)^2}=\sqrt{(-3)^2+(-2)^2}=\sqrt{9 + 4}=\sqrt{13}\approx3.6$

Answer:

A. 3.6