Question

14.
refer to the diagram shown above
what is the length of (overline{ab})?
round your answer to the nearest hundredth.
a 7.28
b 7.2801
c 7.20
d 7.30

Explanation:

Step1: Find coordinates of points

From the graph, \(A(-5,-4)\) and \(B(-3,3)\).

Step2: Use distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1=-5,y_1 = -4,x_2=-3,y_2 = 3\).

$$
LATEXBLOCK0
$$

Step3: Calculate and round

\(\sqrt{53}\approx7.2801\). Rounding \(7.2801\) to the nearest hundredth (two - decimal places), we look at the third decimal digit. Since \(0\lt5\), we keep the second decimal digit as it is. So \(7.2801\approx7.28\).

Answer:

A. 7.28