Answer:
[tex] ST = 5\sqrt{2} [/tex]
Step-by-step explanation:
Given:
S(-3, 10)
T(-2, 3)
Required:
ST
SOLUTION:
Use the distance formula, [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find ST.
Where,
[tex] S(-3, 10) = (x_1, y_1) [/tex]
[tex] T(-2, 3) = (x_2, y_2) [/tex]
[tex] ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2} [/tex]
[tex] ST = \sqrt{(1)^2 + (-7)^2} [/tex]
[tex] = \sqrt{1 + 49} [/tex]
[tex] = \sqrt{50} = \sqrt{25*2} [/tex]
[tex] ST = 5\sqrt{2} [/tex]
