Question

graph a right triangle with the two points forming the hypotenuse. using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-4,-7) and (5,-2) click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-4,-7)$ and $(x_2,y_2)=(5,-2)$.

Step2: Apply 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 $y_2 - y_1=-2 - (-7)=5$. Then $d=\sqrt{9^2 + 5^2}=\sqrt{81+25}=\sqrt{106}$.

Step3: Calculate the value

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

Answer:

$10.3$