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. 1 unit

Explanation:

Step1: Identify coordinates of A,B

Let grid origin be bottom-left. $A=(5,3)$, $B=(9,5)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute values: $d=\sqrt{(9-5)^2+(5-3)^2}$

Step3: Calculate inside the root

$\sqrt{4^2+2^2}=\sqrt{16+4}=\sqrt{20}$

Step4: Compute and round to hundredth

$\sqrt{20}\approx4.4721$, rounded to 4.47

Answer:

4.47