Question

find the distance between the points a & b, to the nearest tenth. a(8, 5), b(-1, 3)

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Assign coordinates

Let $(x_1,y_1)=(8,5)$ and $(x_2,y_2)=(-1,3)$

Step3: Substitute values into formula

$d=\sqrt{(-1-8)^2+(3-5)^2}=\sqrt{(-9)^2+(-2)^2}$

Step4: Calculate squared terms

$d=\sqrt{81+4}=\sqrt{85}$

Step5: Compute and round to nearest tenth

$\sqrt{85}\approx9.2$

Answer:

9.2