Question

find the distance between points l and m. round your answer to the nearest tenth. l (5,6) m (1,-2)

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

Step2: Calculate differences

$x_2 - x_1=5 - 1=4$ and $y_2 - y_1=6-( - 2)=6 + 2 = 8$.

Step3: Square the differences

$(x_2 - x_1)^2=4^2 = 16$ and $(y_2 - y_1)^2=8^2=64$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=16 + 64=80$.

Step5: Calculate the square - root

$d=\sqrt{80}\approx8.944$.

Step6: Round to the nearest tenth

Rounding $8.944$ to the nearest tenth gives $8.9$.

Answer:

$8.9$