Question

1.2 distance and midpoint practice
find the distance between the two given points. include the decimal point in your response and round the answer to the hundredths place.
(0,-3) and (-1,8)
the distance is
possible points 10

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, $(x_1,y_1)=(0, - 3)$ and $(x_2,y_2)=(-1,8)$.

Step2: Substitute values

$d=\sqrt{(-1 - 0)^2+(8-( - 3))^2}=\sqrt{(-1)^2+(8 + 3)^2}=\sqrt{1+121}$.

Step3: Calculate result

$d=\sqrt{122}\approx11.05$.

Answer:

$11.05$