Answer:
The area of the soccer field where Ronald played his last game is 7,700 sq yd.
Step-by-step explanation:
From the question,
The area of the soccer field where Ronald played his last game was 69,300 square feet.
To determine the area, in square yards (sq yd), of the soccer field where Ronald played his last game, we will convert 69,300 square feet to square yards.
Also, from the question
There are 3 feet in a yard, that is, 3 feet = 1 yard
If 3 feet = 1 yard
∴ 3² square feet (ft²) will be equal to 1² square yard (yd²)
That is,
9 square feet = 1 square yard
Now,
If 9 square feet = 1 square yard
Then, 69,300 square feet will be
(69,300 square feet × 1 square yard) / 9 square feet = (69300/9 )square yards
= 7700 square yards (sq yd)
Hence, the area of the soccer field where Ronald played his last game is 7,700 sq yd.
(-2,1)
(1/2, 0)
(2, -1)
2. 5x^4 + 12
3. n^2 - 7n - 21
4. 3
5. 2x + 7
6. -8y^2
Answer:
See below
Step-by-step explanation:
Let's classify the given polynomials by their degree and number of terms:
1. 4p³ + 2p² + 19p - 5
- Degree: 3 (the highest power of the variable, which is p, is 3)
- Number of terms: 4 (there are four terms in the expression)
2. 5x⁴ + 12
- Degree: 4 (the highest power of the variable, which is x, is 4)
- Number of terms: 2 (there are two terms in the expression)
3. n² - 7n - 21
- Degree: 2 (the highest power of the variable, which is n, is 2)
- Number of terms: 3 (there are three terms in the expression)
4. 3
- Degree: 0 (since it's a constant, it has no variable part)
- Number of terms: 1 (there is only one term, which is the constant 3)
5. 2x + 7
- Degree: 1 (the highest power of the variable, which is x, is 1)
- Number of terms: 2 (there are two terms in the expression)
6. -8y²
- Degree: 2 (the highest power of the variable, which is y, is 2)
- Number of terms: 1 (there is only one term, which is -8y²)
Answer:
3p^3 + 2p^2 + 19p - 5
Degree: The highest exponent of the variable 'p' is 3, so the degree is 3.
Number of terms: There are 4 terms in this polynomial.
5x^4 + 12
Degree: The highest exponent of the variable 'x' is 4, so the degree is 4.
Number of terms: There are 2 terms in this polynomial.
n^2 - 7n - 21
Degree: The highest exponent of the variable 'n' is 2, so the degree is 2.
Number of terms: There are 3 terms in this polynomial.
3
Degree: The polynomial 3 is a constant term, and constants have a degree of 0.
Number of terms: There is 1 term in this polynomial.
2x + 7 Degree: The highest exponent of the variable 'x' is 1, so the degree is 1.
Number of terms: There are 2 terms in this polynomial.
-8y^2
Degree: The highest exponent of the variable 'y' is 2, so the degree is 2.
Number of terms: There is 1 term in this polynomial.
Therefore, the classification of the given polynomials by degree and number of terms is as follows:
3p^3 + 2p^2 + 19p - 5:
Degree: 3
Number of terms: 4
5x^4 + 12:
Degree: 4
Number of terms: 2
n^2 - 7n - 21:
Degree: 2
Number of terms: 3
3:
Degree: 0 Degree: 0
Number of terms: 1
2x + 7:
Degree: 1
Number of terms: 2
-8y^2:
Degree: 2
Number of terms: 1
Step-by-step explanation:
In algebra, a polynomial is an expression consisting of variables (such as 'x', 'y', or 'p') raised to non-negative integer powers, combined with coefficients (constants), and combined using addition and subtraction operations. The terms within a polynomial are separated by addition or subtraction signs.
The degree of a polynomial is determined by the highest exponent (power) of the variable in the polynomial. It represents the highest power to which the variable is raised. For example, in the polynomial 3p^3 + 2p^2 + 19p - 5, the highest power of the variable 'p' is 3, so the degree of the polynomial is 3.
The number of terms in a polynomial refers to the separate parts that are added or subtracted. In the polynomial 3p^3 + 2p^2 + 19p - 5, there are four terms: 3p^3, 2p^2, 19p, and -5.
Let's break down the classification of each polynomial:
3p^3 + 2p^2 + 19p - 5:
Degree: The highest exponent of the variable 'p' is 3, so the degree is 3.
Number of terms: There are four terms in this polynomial.
5x^4 + 12:Degree: The highest exponent of the variable 'x' is 4, so the degree is 4.
Number of terms: There are two terms in this polynomial.
n^2 - 7n - 21:
Degree: The highest exponent of the variable 'n' is 2, so the degree is 2.
Number of terms: There are three terms in this polynomial.
3:
Degree: The polynomial 3 is a constant term, and constants have a degree of 0 since they have no variables.
Number of terms: There is one term in this polynomial.
2x + 7:
Degree: The highest exponent of the variable 'x' is 1, so the degree is 1.
Number of terms: There are two terms in this polynomial.
-8y^2:
Degree: The highest exponent of the variable 'y' is 2, so the degree is 2.
Number of terms: There is Number of terms: There is one term in this polynomial.
By determining the degree and number of terms in a polynomial, we can gain insights into its properties and behavior, such as its complexity, the number of solutions it may have, or its graph's share
The sum of its angle measures is 360°.
It has four congruent angles.
It has four congruent sides.
Answer:
first one and third one
Step-by-step explanation:
Answer:
3≤ x≤ 4
Step-by-step explanation:
-1≤ 3x-10≤ 2
Add 10 to each side
-1+10≤ 3x-10+10≤ 2+10
9≤ 3x≤ 12
Divide each side by 3
9/3≤ 3x/3≤ 12/3
3≤ x≤ 4
Answer:
3 ≤ x ≤ 4
Step-by-step explanation:
Step 1: Add 10 to all parts/sections.
Step 2: Divide all parts/sections by 3.
Therefore, the answer is 3 ≤ x ≤ 4.
Answer:
We need to give the mystery number an easy name so that we can work with it. Let's call it it ' M ' , for 'mystery number'.The number . . . . . . . . . . . . . M3/4 of it . . . . . . . . . . . . . . . . . 3/4 Mthe sum of 3/4 of it and 1 . . . (3/4 M + 1)You said that sum is equal to -5 .OK. The equation we need to solve is 3/4 M + 1 = - 5Subtract 1 from each side: 3/4 M = - 6Multiply each side by 4 : 3 M = -24Divide each side by 3 : M = - 8Does it work ?Check it :-- Assume the mystery number is . . . -8 .-- 3/4 of the number . . . . . . . . . . . . . - 6 .-- sum of 3/4 of the number and 1 . . . -5 <== yay !
Step-by-step explanation: