River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 miles, what is the length of each river?
1 answer:
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Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
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Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675
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.