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 1 unit

Explanation:

Step1: Identify coordinates of A and B

Point A: $(4, 7)$, Point B: $(10, 3)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute $x_1=4,y_1=7,x_2=10,y_2=3$:

$$\begin{align*} d&=\sqrt{(10-4)^2+(3-7)^2}\\ &=\sqrt{6^2+(-4)^2}\\ &=\sqrt{36+16}\\ &=\sqrt{52} \end{align*}$$

Step3: Calculate and round to hundredth

$\sqrt{52}\approx7.21$

Answer:

7.21 units