2 and 1/2. Take the improper fraction and multiply to make it into a mixed number.
Answer:
The distance between the two points is ![\sqrt{26}](https://tex.z-dn.net/?f=%5Csqrt%7B26%7D)
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d =
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d = ![\sqrt{(4--1)^{2}+(2-3)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%284--1%29%5E%7B2%7D%2B%282-3%29%5E%7B2%7D%7D)
∴ d = ![\sqrt{(4+1)^{2}+(-1)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%284%2B1%29%5E%7B2%7D%2B%28-1%29%5E%7B2%7D%7D)
∴ d = ![\sqrt{(5)^{2}+1}](https://tex.z-dn.net/?f=%5Csqrt%7B%285%29%5E%7B2%7D%2B1%7D)
∴ d = ![\sqrt{25+1}](https://tex.z-dn.net/?f=%5Csqrt%7B25%2B1%7D)
∴ d = ![\sqrt{26}](https://tex.z-dn.net/?f=%5Csqrt%7B26%7D)
∴ The distance between the two points is ![\sqrt{26}](https://tex.z-dn.net/?f=%5Csqrt%7B26%7D)
Answer: x
≤
−
4
or
x
≥
8
Step-by-step explanation: