Answer:
![-5-\sqrt{-44}=-5-2\sqrt{11}i](https://tex.z-dn.net/?f=-5-%5Csqrt%7B-44%7D%3D-5-2%5Csqrt%7B11%7Di)
Step-by-step explanation:
We want to simplify:
![-5-\sqrt{-44}](https://tex.z-dn.net/?f=-5-%5Csqrt%7B-44%7D)
We rewrite the expression under the radical sign to obtain:
![-5-\sqrt{4\times11\times -1}](https://tex.z-dn.net/?f=-5-%5Csqrt%7B4%5Ctimes11%5Ctimes%20-1%7D)
We split the expression under the radical sign to get:
![-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}](https://tex.z-dn.net/?f=-5-%5Csqrt%7B4%7D%20%5Ctimes%20%5Csqrt%7B11%7D%20%5Ctimes%20%5Csqrt%7B-1%7D)
Recall that:
![\sqrt{-1}=i](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%3Di)
This implies that:
![-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}=-5-2\sqrt{11}i](https://tex.z-dn.net/?f=-5-%5Csqrt%7B4%7D%20%5Ctimes%20%5Csqrt%7B11%7D%20%5Ctimes%20%5Csqrt%7B-1%7D%3D-5-2%5Csqrt%7B11%7Di)
Therefore ![-5-\sqrt{-44}=-5-2\sqrt{11}i](https://tex.z-dn.net/?f=-5-%5Csqrt%7B-44%7D%3D-5-2%5Csqrt%7B11%7Di)
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle.
So, 6 * 2 / (sq root of 3) =
<span>
<span>
<span>
6.9282032303
</span>
</span>
</span>
Source:
http://www.1728.org/trig2.htm
Answer:
x is no more than -6
Step-by-step explanation:
Answer:
752 below sea level
just took it.
Step-by-step explanation: