Answer:
Step-by-step explanation:
We are given:
And we want to find:
This is equivalent to:
Therefore, by substitution:
Rearranging gives:
Combine like terms:
Answer:
![4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
Step-by-step explanation:
![\sqrt[4]{768x^8y^5} =](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B768x%5E8y%5E5%7D%20%3D%20)
![= \sqrt[4]{256 \times 3(x^2)^4y^4y}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B4%5D%7B256%20%5Ctimes%203%28x%5E2%29%5E4y%5E4y%7D%20)
![= \sqrt[4]{4^4 \times 3(x^2)^4y^4y}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B4%5D%7B4%5E4%20%5Ctimes%203%28x%5E2%29%5E4y%5E4y%7D%20)
![= 4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%20%3D%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
You subtract the greater one from the smaller one and you get the difference.
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
