Question

find the distance between the points a and b given below(that is, find the length of the segment connecting a and b)round your answer to the nearest hundredth.your answer1 unit6.40 units

Explanation:

Step1: Identify coordinates of A and B

Let the bottom-left corner be (0,0). Point A is at (2,2), Point B is at (8,4).

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute $x_1=2,y_1=2,x_2=8,y_2=4$:
$d=\sqrt{(8-2)^2+(4-2)^2}$

Step3: Calculate inside the square root

$\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}$

Step4: Compute and round to nearest hundredth

$\sqrt{40}\approx6.3246$, rounded to 6.32.

Answer:

6.32 units