The simplification of the given algebraic expression is;
yz = (z + 1)/z(z - 1)
<h3>How to simplify algebraic expressions?</h3>
We are given y left parenthesis z right parenthesis which is expressed as; yz
Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction
z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²
Thus, our main expression is;
yz = (z² - 1)/z(z - 1)²
Factorizing the numerator and denominator gives;
yz = (z + 1)(z - 1)/z(z - 1)(z - 1)
(z - 1) is common to both numerator and denominator and as such, we now have;
yz = (z + 1)/z(z - 1)
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Answer:
b>-5
Step-by-step explanation:

Multiply by 5 to isolate b.

If you graph this on a line, it would be a hollow point facing the right, since it's any number greater than five, not including 5.
If you put any number greater than -5, you'll output greater than - 1.
Answer:
The surface area of the paperweight is 
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces
so
<em>Find the area of its triangular base</em>


<em>Find the area of its three triangular lateral faces</em>
![SA=3[\frac{1}{2}(2)(2.2)]](https://tex.z-dn.net/?f=SA%3D3%5B%5Cfrac%7B1%7D%7B2%7D%282%29%282.2%29%5D)

Adds the areas


Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
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