Question

find the distance between the two points on the coordinate plane: choose all possible answers w(-3,2) v(4,5) y - axis x - axis

Explanation:

Step1: Identify 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, $W(-3,2)$ and $V(4,5)$, so $x_1=-3,y_1 = 2,x_2=4,y_2 = 5$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=4-(-3)=7$ and $y_2 - y_1=5 - 2=3$.

Step3: Substitute into formula

Substitute into the distance formula: $d=\sqrt{(7)^2+(3)^2}=\sqrt{49 + 9}=\sqrt{58}\approx 7.6$.

Answer:

$\sqrt{58}$, $7.6$