Answer:
-8
Step-by-step explanation:
First combine like terms:
4x-8=32+9x
-40=5x
-8=x
Answer:
9
Step-by-step explanation:
Horizontal line from 4 to -5.
Answer:
5X ft
Step-by-step explanation:
Given the new scale of 1 inch equals = 5 feet
let
denote the width of the living room on the blueprint.
To find the width of the living room:

Hence the living room has a width of 5X ft
Question:
Prove that:

Answer:
Proved
Step-by-step explanation:
Given

Required
Prove

Subtract tan(10) from both sides


Factorize the right hand size

Rewrite as:

Divide both sides by 


In trigonometry:

So:
can be expressed as: 
gives


In trigonometry:

So:

Because RHS = LHS
Then:
has been proven
First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.
1st blank: exponential
Translation up adds a constant to each of the f(x) values.
2nd blank: f(x)
3rd blank: increased by 5<span>
For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).
4th blank: </span><span>(2, 16)</span>