Question

10/3 do now
find the distance between the pair of points.
show all work.
round your answer to the nearest tenth, if necessary.

Explanation:

Step1: Identify the coordinates

Let $(x_1,y_1)=(- 4,0)$ and $(x_2,y_2)=(5,-5)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute the values: $x_2 - x_1=5-(-4)=9$ and $y_2 - y_1=-5 - 0=-5$. Then $d=\sqrt{9^2+(-5)^2}=\sqrt{81 + 25}=\sqrt{106}$.

Step3: Calculate and round

$\sqrt{106}\approx10.3$.

Answer:

$10.3$