Question

find the distance between the point (1,2) and the point (-4,-1). round your answer to the nearest tenth. answer distance =

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: Assign values

Let $(x_1,y_1)=(1,2)$ and $(x_2,y_2)=(-4,-1)$. Then $x_2 - x_1=-4 - 1=-5$ and $y_2 - y_1=-1 - 2=-3$.

Step3: Calculate squares

$(x_2 - x_1)^2=(-5)^2 = 25$ and $(y_2 - y_1)^2=(-3)^2=9$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=25 + 9=34$.

Step5: Find square - root

$d=\sqrt{34}\approx5.8$

Answer:

$5.8$