Question

(that is, find the length of the segment connecting a and b.) round your answer to the nearest hundredth. your answer units 1 unit

Explanation:

Step1: Identify coordinates of A and B

From the grid: $A=(4,7)$, $B=(9,3)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute values: $d=\sqrt{(9-4)^2+(3-7)^2}$

Step3: Calculate differences and squares

$\sqrt{(5)^2+(-4)^2}=\sqrt{25+16}$

Step4: Sum and compute square root

$\sqrt{41}\approx6.40$

Answer:

6.40 units