9514 1404 393
Answer:
30 in
Step-by-step explanation:
The enclosing rectangle is 4 by 10, so has a perimeter of ...
P = 2(L+W) = 2(10+4) = 28
The notch adds 2 inches to the perimeter, so the total of all side lengths is ...
28 +2 = 30 . . . inches
Answer:
Exercise 1 : a. 4 ; b. -4
Exercise 2 : a. +7 positive/right ; b. -7 ; c. -7 negative/left
Step-by-step explanation:
Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have

And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)