Answer:
what do you want me to list 5 rational numbers?
Step-by-step explanation:
If so then:
5/1, 1/2, 1.75, -2/17, 9/-11
1st question: 3a
2nd question: 2t
Answer:
![ST = 5\sqrt{2}](https://tex.z-dn.net/?f=%20ST%20%3D%205%5Csqrt%7B2%7D%20)
Step-by-step explanation:
Given:
S(-3, 10)
T(-2, 3)
Required:
ST
SOLUTION:
Use the distance formula,
, to find ST.
Where,
![S(-3, 10) = (x_1, y_1)](https://tex.z-dn.net/?f=%20S%28-3%2C%2010%29%20%3D%20%28x_1%2C%20y_1%29%20)
![T(-2, 3) = (x_2, y_2)](https://tex.z-dn.net/?f=%20T%28-2%2C%203%29%20%3D%20%28x_2%2C%20y_2%29%20)
![ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2}](https://tex.z-dn.net/?f=%20ST%20%3D%20%5Csqrt%7B%28-2%20-%28-3%29%29%5E2%20%2B%20%283%20-%2010%29%5E2%7D%20)
![ST = \sqrt{(1)^2 + (-7)^2}](https://tex.z-dn.net/?f=%20ST%20%3D%20%5Csqrt%7B%281%29%5E2%20%2B%20%28-7%29%5E2%7D%20)
![= \sqrt{1 + 49}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%7B1%20%2B%2049%7D%20)
![= \sqrt{50} = \sqrt{25*2}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%7B50%7D%20%3D%20%5Csqrt%7B25%2A2%7D%20)
![ST = 5\sqrt{2}](https://tex.z-dn.net/?f=%20ST%20%3D%205%5Csqrt%7B2%7D%20)