The perimeter of the triangular park shown on the right is 13xminus1. What is the missing length?
x minus 3
5 x plus 5
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Part 1
The missing length is
enter your response here. (Simplify your answer.)
To find the missing length, we need to add up the lengths of the three sides of the triangle and set it equal to 13x-1:
a + b + c = 13x-1
Let's call the missing length "a". We know that the other two lengths are x-3 and 5x+5. Plugging these values into the equation, we get:
(x-3) + (5x+5) + a = 13x-1
Now we can simplify the equation and isolate "a":
6x + 2 + a = 13x-1
a = 13x - 6x - 3
Simplifying further:
a = 7x - 3
Therefore, the missing length is 7x-3.
Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these.
2xplus8
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Part 1
The degree of the polynomial is
enter your response here.
The degree of a polynomial is determined by the highest power of the variable present in the polynomial. In this case, the polynomial is 2x + 8, and the highest power of x is 1. Therefore, the degree of the polynomial is 1.
Since the polynomial has only two terms, it is classified as a binomial.
Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these.
2xplus8
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Part 1
The degree of the polynomial is
1.
Part 2
Choose the correct type of polynomial.
binomial
monomial
trinomial
none of these
The degree of the polynomial 2x + 8 is 1, as the highest power of x is 1.
Additionally, since the polynomial has only two terms, it is classified as a binomial.
Find the degree of the given polynomial and determine whether the polynomial is a monomial, binomial, trinomial, or none of these.
5 z cubed y Superscript 4 Baseline plus 8 zy plus 2 z cubed y
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Part 1
The degree of the polynomial is
enter your response here.
The degree of a polynomial is determined by the highest power of the variable present in the polynomial. In this case, the polynomial is 5z^3y^4 + 8zy + 2z^3y.
The highest power of z is 3, and the highest power of y is 4. Therefore, the highest total degree is 3 + 4 = 7.
So, the degree of the polynomial is 7.
Find the degree of the given polynomial and determine whether the polynomial is a monomial, binomial, trinomial, or none of these.
5 z cubed y Superscript 4 Baseline plus 8 zy plus 2 z cubed y
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Part 1
The degree of the polynomial is
7.
Part 2
Is 5 z cubed y Superscript 4 Baseline plus 8 zy plus 2 z cubed y a monomial, binomial, trinomial, or none of these?
monomial
binomial
trinomial
none of these
The given polynomial 5z^3y^4 + 8zy + 2z^3y has three terms.
A monomial has only one term, a binomial has two terms, and a trinomial has three terms.
Therefore, the given polynomial is classified as a trinomial.