Given:
side lengths of right triangles = 12 cm ; 16 cm ; 20 cm
lateral area = 192 cm²
lateral area of a triangular prism = perimeter * height
192 cm² = (12 cm + 16 cm + 20 cm) * height
192 cm² = 48 cm * height
192 cm² / 48 cm = height
4 cm = height
The height of the pedestal in the shape of a triangular prism is 4 cm.
To fond the midpoint add each term to each other and divide by 2.
3+2 = 5
5/2
In 2-i, i can also be written as 1i
So now 8+1 = 9
9/2
The midpoint would be 5/2 + 9/2i
Answer:
-1/2y+4<9
-1/2y+4-4<9-4
-1/2<5
(2/-1)*(-1/2y)<(2/-1)*(5)
y>-10
answer is y>-10
Step-by-step explanation:
![( { \frac{4 {x}^{3} }{ {y}^{4} }) }^{ - 2} = \frac{16x {}^{6} }{ {y}^{8} }](https://tex.z-dn.net/?f=%28%20%7B%20%5Cfrac%7B4%20%7Bx%7D%5E%7B3%7D%20%7D%7B%20%7By%7D%5E%7B4%7D%20%7D%29%20%7D%5E%7B%20-%202%7D%20%20%3D%20%20%5Cfrac%7B16x%20%7B%7D%5E%7B6%7D%20%7D%7B%20%7By%7D%5E%7B8%7D%20%7D%20)
![\frac{(4 {x}^{3})^{ - 2} }{ { {(y}^{4} )}^{ - 2} } = \frac{16 {x}^{6} }{ {y}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%284%20%7Bx%7D%5E%7B3%7D%29%5E%7B%20-%202%7D%20%20%7D%7B%20%7B%20%7B%28y%7D%5E%7B4%7D%20%29%7D%5E%7B%20-%202%7D%20%7D%20%20%3D%20%20%5Cfrac%7B16%20%7Bx%7D%5E%7B6%7D%20%7D%7B%20%7By%7D%5E%7B8%7D%20%7D%20)
![\frac{ {16x}^{ - 6} }{ {y }^{ - 8} } = \frac{ {16x}^{6} }{ {y}^{8} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B16x%7D%5E%7B%20-%206%7D%20%7D%7B%20%7By%20%7D%5E%7B%20-%208%7D%20%7D%20%20%3D%20%5Cfrac%7B%20%7B16x%7D%5E%7B6%7D%20%7D%7B%20%7By%7D%5E%7B8%7D%20%7D%20)
The power of -2 was mistook as 2.