Question

find the length of cd. round to the nearest tenth. (use distance formula). b(-1,3) a(-4,1) c(3,1) d(1,-1) a. 3.6 b. 4.5 c. 5.4 d. 2.8

Explanation:

Step1: Identify coordinates

Let \(C(3,1)\) and \(D(0, - 1)\). 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: Substitute values

Here \(x_1 = 3,y_1=1,x_2 = 0,y_2=-1\). Substitute into the formula: \(d=\sqrt{(0 - 3)^2+(-1 - 1)^2}=\sqrt{(-3)^2+(-2)^2}\).

Step3: Calculate squares

\((-3)^2=9\) and \((-2)^2 = 4\), so \(d=\sqrt{9 + 4}=\sqrt{13}\).

Step4: Approximate value

\(\sqrt{13}\approx3.6\) (rounded to the nearest tenth).

Answer:

A. 3.6