Answer:
y = -
x + 9
Step-by-step explanation:
<h3>Answer: B) 5x^4</h3>
==============================================
Work Shown:
125 = 5*5*5 = (5)^3
x^12 = (x^4)*(x^4)*(x^4) = (x^4)^3
125x^12 = (5x^4)^3
![\large \sqrt[3]{125x^{12}} = \left(125x^{12}\right)^{1/3}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Cleft%28125x%5E%7B12%7D%5Cright%29%5E%7B1%2F3%7D)
![\large \sqrt[3]{125x^{12}} = \left((5x^4)^3\right)^{1/3}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Cleft%28%285x%5E4%29%5E3%5Cright%29%5E%7B1%2F3%7D)
![\large \sqrt[3]{125x^{12}} = (5x^4)^{3*(1/3)}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%285x%5E4%29%5E%7B3%2A%281%2F3%29%7D)
![\large \sqrt[3]{125x^{12}} = (5x^4)^{1}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%285x%5E4%29%5E%7B1%7D)
![\large \sqrt[3]{125x^{12}} = \textbf{5x}^{\textbf{4}}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Ctextbf%7B5x%7D%5E%7B%5Ctextbf%7B4%7D%7D)
1. false because they have the same slope and y-intercept so they have infinite number of solutions
2. true
Answer:
5
Step-by-step explanation:
3
0.4
0.05
0.002= 3.452
Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot