The perimeter of the triangular park shown on the right is 13xminus1. What is the missing​ length?

Question

x minus 3
5 x plus 5
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Part 1
The missing length is
  
enter your response here. ​(Simplify your​ answer.)

Answer 1

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.

Answer 2

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.

Answer 3

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.

Answer 4

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

Answer 5

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.

Answer 6

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.

Answer 7

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.

Answer 8

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
Question content area bottom
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

Answer 9

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.