Answer:
ST = 8.1
Step-by-step explanation:
To find the length of a segment of a straight line when given 2 points, we can use this formula:
\(\boxed{length=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)
Given:
- \((x_1,y_1)\) = (-2, 0)
- \((x_2,y_2)\) = (5, -4)
Then:
\(length=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(=\sqrt{(5-(-2))^2+(-4-0)^2}\)
\(=\sqrt{7^2+(-4)^2}\)
\(=\sqrt{65}\)
\(\approx\bf8.1\)
