Answer: 8.9 units (choice C)
Explanation:
We plug
into the distance formula to get the following
![d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%287-%28-1%29%29%5E2%20%2B%20%28-1-3%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%287%2B1%29%5E2%20%2B%20%28-1-3%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%288%29%5E2%20%2B%20%28-4%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B64%20%2B%2016%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B80%7D%5C%5C%5C%5Cd%20%5Capprox%208.94427%5C%5C%5C%5Cd%20%5Capprox%208.9%5C%5C%5C%5C)
The answer would be the sequence has a common ratio of 4.
The explanation for this would be:
To get the common ratio for get the simplest form of the two numbers, so 12/3 = 4 and 48/12 = 4So we know that their common ratio is 4.
To check:
3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4 = 768
Answer:12
Step-by-step explanation: