Determine if the expression -8c-9c^4d^2−8c−9c
1 answer:
Answer:
is a polynomial of type binomial and has a degree 6.
Step-by-step explanation:
Given the polynomial expression
Group like terms
Add similar elements: -8c-8c-9c=-25c
Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.
Each term has a degree equal to the sum of the exponents on the variables.
The degree of the polynomial is the greatest of those.
25c has a degree 1
has a degree 6. (adding the exponents of two variables 'c' and 'd').
Thus,
is a polynomial of type binomial and has a degree 6.
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Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given
Solving (a): The distance between both
The equation of a circle is:
Where
P and Q can be rewritten as:
So, for P:
For Q:
The distance between them is:
Where:
---
---
So:
Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison
<em>Hence, circle Q has a smaller radius</em>