Answer:
a) 3x-5=16
b) 30cm
Step-by-step explanation:
a) 5(x-1)=2(x+8)
5x-5=2x+16
5x-2x-5=16
3x-5=16
b) solving the equation gives x=7
put x=7 into first line, 5(7-1)=30cm
to check we can place it into second one as well
2(7+8)=30cm
radius = diameter/2
radius = 6.5/2 =
m
<span>volume </span>
x
x (radius)³
x
x 
x
x 

= 144 cubic meters
All of the angles measure less than 90 degrees
The correct answer is A) g≥5
This is because when you look at an absolute value function, the constant at the end is the y value of the vertex. Since it is an absolute value equation, we know that the values can only go up. Therefore, it must be greater than or equal to the constant at the end (5)
keeping in mind that when the logarithm base is omitted, the base 10 is assumed.
![\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(x)=2\implies \log_{10}(x)=2\implies 10^2=x\implies 100=x](https://tex.z-dn.net/?f=%5Ctextit%7Bexponential%20form%20of%20a%20logarithm%7D%20%5C%5C%5C%5C%20%5Clog_a%28b%29%3Dy%20%5Cqquad%20%5Cimplies%20%5Cqquad%20a%5Ey%3D%20b%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Clog%28x%29%3D2%5Cimplies%20%5Clog_%7B10%7D%28x%29%3D2%5Cimplies%2010%5E2%3Dx%5Cimplies%20100%3Dx)