Answer:
the minimum length of the first piece is 4 feet
Remember
![log_a(b)=c](https://tex.z-dn.net/?f=log_a%28b%29%3Dc)
translates to
![a^c=b](https://tex.z-dn.net/?f=a%5Ec%3Db)
so
![log_x(\frac{1}{32})=-5](https://tex.z-dn.net/?f=log_x%28%5Cfrac%7B1%7D%7B32%7D%29%3D-5)
translates to
![x^{-5}=\frac{1}{32}](https://tex.z-dn.net/?f=x%5E%7B-5%7D%3D%5Cfrac%7B1%7D%7B32%7D)
remember, if a^b=c^b when b=b, then a=c
and x^-m=1/(x^m)
hmm
![x^{-5}=\frac{1}{32}](https://tex.z-dn.net/?f=x%5E%7B-5%7D%3D%5Cfrac%7B1%7D%7B32%7D)
![\frac{1}{x^5}=\frac{1}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E5%7D%3D%5Cfrac%7B1%7D%7B32%7D)
32=x⁵
5th root both sides
2=x
x=2
Answer: <em>4x+2</em>
Step-by-step explanation:
<em>Let's take our equation to start</em>
<em>2(3x+5)-2(x+4)</em>
<em>Distribute the 2 and -2 into the parenthesis</em>
<em>6x+10-2x-8</em>
<em>Now combine the like terms</em>
<em>6x-2x=4x</em>
<em>10-8=2</em>
<em>4x+2</em>
Answer:
Step-by-step explanation:
Hasan travels
at the same speed as
Anneliese because the
slope
of Hasan's graph is
equal to
that of Anneliese's graph.
The
slope
of the graph tells you the unit rate is in
meters per minute
.