Answer:

Step-by-step explanation:



.
Happy to help :)
<h2>Solving Inequalities</h2><h3>
Answer:</h3>
![(-\infty,-8]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-8%5D)
<h3>
Step-by-step explanation:</h3>

The values of
has to be less than or equal to
so ![x \in (-\infty,-8]](https://tex.z-dn.net/?f=x%20%5Cin%20%28-%5Cinfty%2C-8%5D)
Given:

To find:
The simplified rational expression by subtraction.
Solution:
Let us factor
. It can be written as
.
using algebraic identity.

LCM of 
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.

Now, denominators are same, you can subtract the fractions.

Expand
.



Answer:
The lateral area of this square pyramid is 100 in^2
Step-by-step explanation:
The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.
In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.
AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):
1/2 x 10 x 5 = 25
Multiply that by 4 since all 4 triangular faces are similar:
25 x 4 = 100
So the lateral area of the square pyramid is 100 in^2.
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<span>To find the domain, solve the inequality 4 - x > 0. x < 4. Thus, all numbers less than or equal to 4 represent thedomain for this function. When trying to find the domain and range from a graph, the domain is found by looking at the graph from left to right.</span>