Question

1. find ab given a(-4, 1) and b(3, -1). round to the nearest hundredth if necessary. ab =

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $A(4,1)$ and $B(3,-1)$, so $x_1 = 4,y_1=1,x_2 = 3,y_2=-1$.

Step2: Substitute values into formula

$AB=\sqrt{(3 - 4)^2+(-1 - 1)^2}=\sqrt{(-1)^2+(-2)^2}=\sqrt{1 + 4}=\sqrt{5}\approx2.24$.

Answer:

$2.24$