Answer:
p^3 / q^12
Step-by-step explanation:
p^6 q^4
------------------
p^3 q^16
We know a^b / a^c = a^(b-c)
First with variable p
p^6 / p ^3 = p^(6-3) = p^3
Then with variable q
q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12
p^3 * 1/ q^12
p^3 / q^12
The statement is represented as 2(c- 5). Option D
<h3>
What are algebraic expressions?</h3>
Algebraic expressions are expressions consisting of variables, terms, factors, and constants.
They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc
From the information given, we have;
- total cost of 2 dance tickets
- price of c for each, less a one-time $5 discount
Expressed as;
2(c- 5)
Thus, the statement is represented as 2(c- 5). Option D
Learn more about algebraic expressions here:
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Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
----> equation of the line into point slope form
Convert to slope intercept form
Isolate the variable y
Distributed left side
subtract 5 both sides
In the smaller triangle, let 
be the length of the smallest leg. Then the smallest leg in the larger triangle is 
.
Within the scope of the smaller triangle, we have such that
Then within the larger the triangle, we would have
Now we can solve for 
:
