Answer:
I got 12√ 2
PLZ CORRECT ME IF I AM WRONG PLZ AND THXS YOU
Step-by-step explanation:
Answer:
n = 18
Step-by-step explanation:
(2n) and (n + 18) are vertically opposite angles and are congruent, then
2n = n + 18 ( subtract n from both sides )
n = 18
Answer:
M=55
Step-by-step explanation:
Since the lines are parralel then the angles would have to equal 180 degrees. You would sybtract 180-125 and get 55
For this case we have the following quadratic equation:
![3x ^ 2 + 7x + 4 = 0](https://tex.z-dn.net/?f=3x%20%5E%202%20%2B%207x%20%2B%204%20%3D%200)
Where:
![a = 3\\b = 7\\c = 4](https://tex.z-dn.net/?f=a%20%3D%203%5C%5Cb%20%3D%207%5C%5Cc%20%3D%204)
According to the quadratic formula we have:
![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2%20%28a%29%7D)
Substituting:
![x = \frac {-7 \pm \sqrt {7 ^ 2-4 (3) (4)}} {2 (3)}\\x = \frac {-7 \pm \sqrt {49-48}} {6}\\x = \frac {-7 \pm \sqrt {1}} {6}\\x = \frac {-7 \pm1} {6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-7%20%5Cpm%20%5Csqrt%20%7B7%20%5E%202-4%20%283%29%20%284%29%7D%7D%20%7B2%20%283%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-7%20%5Cpm%20%5Csqrt%20%7B49-48%7D%7D%20%7B6%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-7%20%5Cpm%20%5Csqrt%20%7B1%7D%7D%20%7B6%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-7%20%5Cpm1%7D%20%7B6%7D)
We have two roots:
![x_ {1} = \frac {-7 + 1} {6} = \frac {-6} {6} = - 1\\x_ {2} = \frac {-7-1} {6} = \frac {-8} {6} = - \frac {4} {3}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20%5Cfrac%20%7B-7%20%2B%201%7D%20%7B6%7D%20%3D%20%5Cfrac%20%7B-6%7D%20%7B6%7D%20%3D%20-%201%5C%5Cx_%20%7B2%7D%20%3D%20%5Cfrac%20%7B-7-1%7D%20%7B6%7D%20%3D%20%5Cfrac%20%7B-8%7D%20%7B6%7D%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3%7D)
Answer:
![x_ {1} = - 1\\x_ {2} = - \frac {4} {3}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%201%5C%5Cx_%20%7B2%7D%20%3D%20-%20%5Cfrac%20%7B4%7D%20%7B3%7D)