Hi there! The answer is x = 1
![{x}^{2} - 8x + 7 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%208x%20%2B%207%20%3D%200)
![(x - 7)(x - 1)](https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%201%29)
Rule AB = 0, gives A = 0 or B = 0
![x - 7 = 0 \: \: or \: \: x - 1 = 0 \\ x = 7 \: \: \: \: \: \: \: \: \: or \: \: x = 1](https://tex.z-dn.net/?f=x%20-%207%20%3D%200%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20-%201%20%3D%200%20%5C%5C%20x%20%3D%207%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20%20%20%3D%201)
Therefore, the smallest of both roots is x = 1.
Answer:
![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)
Step-by-step explanation:
We are given that
Height of mountain=350 m
Distance from the tree to the skier=505 m
We have to find the angle of depression from where the skier is standing to the base of the tree.
In triangle ABC
![\frac{AB}{AC}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3Dsin%5Ctheta)
By using the formula
![\frac{Perpendicular\;side}{Hypotenuse}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BPerpendicular%5C%3Bside%7D%7BHypotenuse%7D%3Dsin%5Ctheta)
![\frac{350}{505}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7B350%7D%7B505%7D%3Dsin%5Ctheta)
![sin^{-1}(\frac{350}{505})=\theta](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%28%5Cfrac%7B350%7D%7B505%7D%29%3D%5Ctheta)
![\theta=43.87^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D43.87%5E%7B%5Ccirc%7D)
Hence, the angle of depression from where the skier is standing to the base of the tree=![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)
Answer:
d
Step-by-step explanation:
Answer:
2log(3) + log(x) + 2log(y) + 5log(z)
Hope this helps(:
Step-by-step explanation: