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 answer units 1 unit try one last time

Explanation:

Step1: Identify coordinates of A, B

From grid: $A=(5,7)$, $B=(10,3)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute values: $d=\sqrt{(10-5)^2+(3-7)^2}$

Step3: Calculate inside the root

$\sqrt{5^2+(-4)^2}=\sqrt{25+16}=\sqrt{41}$

Step4: Compute decimal & round

$\sqrt{41}\approx6.4031$, round to nearest hundredth

Answer:

6.40 units