Answer:
$50.50 = 18 + 5n
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
12a² + 9a + 7 = 0
By comparing this equation with standard quadratic equation,
hx² + kx + c = 0
h = 12, k = 9 and c = 7
By using quadratic formula,
a = ![\frac{-k\pm\sqrt{k^2-4hc}}{2h}](https://tex.z-dn.net/?f=%5Cfrac%7B-k%5Cpm%5Csqrt%7Bk%5E2-4hc%7D%7D%7B2h%7D)
= ![\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%5Cpm%5Csqrt%7B9%5E2-4%2812%29%287%29%7D%7D%7B2%2812%29%7D)
= ![\frac{-9\pm\sqrt{81-336}}{2(12)}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%5Cpm%5Csqrt%7B81-336%7D%7D%7B2%2812%29%7D)
= ![\frac{-9\pm\sqrt{-255}}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%5Cpm%5Csqrt%7B-255%7D%7D%7B24%7D)
= ![\frac{-9\pm i\sqrt{255}}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%5Cpm%20i%5Csqrt%7B255%7D%7D%7B24%7D)
a = ![\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%2B%20i%5Csqrt%7B255%7D%7D%7B24%7D%2C%5Cfrac%7B-9-%20i%5Csqrt%7B255%7D%7D%7B24%7D)
Therefore, Option B will be the correct option.
Answer:
Which statements are true about the figure? Select two options.
Line JM intersects line GK at point N.
Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.
Answer: AC=4.15
Step-by-step explanation:
To solve this problem you must apply the prccedure shown below:
1. You know that the triangle is a right triangle.
2. Therfore, you can calculate the lenght AC as following:
![tan\alpha=opposite/adjacent](https://tex.z-dn.net/?f=tan%5Calpha%3Dopposite%2Fadjacent)
Where:
opposite=AC
adjacent=8.9
3. When you solve for AC and substitute these values you obtain the following result:
![AC=8.9*tan(25\°)\\AC=4.15](https://tex.z-dn.net/?f=AC%3D8.9%2Atan%2825%5C%C2%B0%29%5C%5CAC%3D4.15)