Question

what is the distance between (-5, -5) and (-9, -2)? choose 1 answer: a 5 b 7 c $sqrt{12}$ d $sqrt{29}$

Explanation:

Step1: Identify distance formula

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

Step2: Substitute the given points

Let $(x_1,y_1)=(-5,-5)$ and $(x_2,y_2)=(-9,-2)$. Then $x_2 - x_1=-9-(-5)=-4$ and $y_2 - y_1=-2 - (-5)=3$.

Step3: Calculate the distance

$d=\sqrt{(-4)^2 + 3^2}=\sqrt{16 + 9}=\sqrt{25}=5$.

Answer:

A. 5