Answer :

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:

[tex]\boxed{length=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Given:

  • [tex](x_1,y_1)[/tex] = (-2, 0)
  • [tex](x_2,y_2)[/tex] = (5, -4)

Then:

[tex]length=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

          [tex]=\sqrt{(5-(-2))^2+(-4-0)^2}[/tex]

          [tex]=\sqrt{7^2+(-4)^2}[/tex]

          [tex]=\sqrt{65}[/tex]

          [tex]\approx\bf8.1[/tex]

Other Questions