Question

1. use the distance formula to find the distance from (-2,-1) to (-5,-6). round your answer to two decimal places.

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, $(x_1,y_1)=(-2,-1)$ and $(x_2,y_2)=(-5,-6)$.

Step2: Substitute values

Substitute $x_1=-2$, $y_1 = - 1$, $x_2=-5$, $y_2=-6$ into the formula:

$$
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Step3: Calculate and round

$\sqrt{34}\approx5.83$

Answer:

$5.83$