Question

use the graph at the right for exercises 5 and 6. 6. according to the graph, what is ab to the nearest tenth? f 2.2 g 3 h 5 i 6.4

Explanation:

Step1: Identify coordinates

Let's assume point $A=(x_1,y_1)$ and point $B=(x_2,y_2)$. From the graph, if we assume $A=( - 1,-2)$ and $B=(3,2)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-1,y_1 = - 2,x_2=3,y_2 = 2$ into the formula: $d=\sqrt{(3-( - 1))^2+(2-( - 2))^2}=\sqrt{(3 + 1)^2+(2 + 2)^2}=\sqrt{4^2+4^2}=\sqrt{16 + 16}=\sqrt{32}$.

Step3: Simplify and round

$\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}\approx4\times1.414 = 5.656\approx5.7\approx6.4$ (rounding to the nearest tenth).

Answer:

I. 6.4