Answer:
The answer to this expression is 50.
Step-by-step explanation:
To find the miles Michael rode, we can simply add up the miles he rode for both day:
![2 \frac{2}{3} + 1 \frac{5}{6} \\ = \frac{2 + 2 \times 3}{3} + \frac{5 + 6}{6} \\ = \frac{8 \times 2}{3 \times 2} + \frac{11}{6} \\ = \frac{16 + 11}{6} \\ = \frac{27}{6} \\ = 4 \frac{3}{6} \\ = 4 \frac{1}{2}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B2%7D%7B3%7D%20%20%20%2B%201%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%20%2B%202%20%5Ctimes%203%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B5%20%2B%206%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%202%7D%7B3%20%5Ctimes%202%7D%20%20%2B%20%20%5Cfrac%7B11%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B16%20%2B%2011%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B27%7D%7B6%7D%20%20%5C%5C%20%20%3D%204%20%5Cfrac%7B3%7D%7B6%7D%20%20%5C%5C%20%20%3D%204%20%5Cfrac%7B1%7D%7B2%7D%20)
Therefore the answer is 4 1/2 miles.
Hope it helps!
Answer:
![\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}](https://tex.z-dn.net/?f=%5Csf%20x%3D1%2Bi%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D%20%20%20%5C%20%5Cquad%20and%20%20%5Cquad%20%5C%3Ax%3D1-i%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D)
Explanation:
<u>Given Expression</u>:
Use the Quadratic Formula:
![\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%20%5Cdfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%20%20%5C%20%20%5C%20when%20%20%20%5C%20%5C%20%20ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200)
<u>insert coefficients</u>
![\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B-%5Cleft%28-6%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A3%7D)
![\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B%5Cleft6%5Cright%5Cpm%20%5Csqrt%7B-24%7D%20%7D%7B6%7D)
![\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D%20%5Cdfrac%7B%5Cleft6%5Cright%5Cpm%202%5Csqrt%7B6%7Di%7D%7B6%7D)
![\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%20%3D1%20%5Cpm%20%20%20i%5Cdfrac%7B%5Csqrt%7B6%7D%20%7D%7B3%7D)
![\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Csf%20x%3D1%2Bi%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D%2C%20%20%5Cquad%201-i%5Csqrt%7B%5Cdfrac%7B2%7D%7B3%7D%7D)
Answer:
A
Step-by-step explanation:
7+2 = 9
9+2 = 11
11+2 = 13
So, it's an Arithmetic sequence with a common difference of 2