a. n-(n - 1) = 1
b. n( n - 1) = n² - n
c. (n - 1) + n = 2n - 1
d. (n - 1) + n = 2n - 1
<h3>Solution:</h3>
General Rule for Equation Solving
- Remove parentheses and combine like terms to simplify each side of the equation.
- To isolate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use multiplication or division.
Given two consecutive numbers , (n - 1) , n
simplifying :
n - (n - 1)
= n -1(n - 1)
= n - n + 1
= 1
multiplying :
n( n -1)
= n² - n
simplifying :
(n-1) + n
= n - 1 + n
= 2n -1
by adding two numbers :
(n - 1) + n
= n -1 + n
= 2n - 1
To learn more about equations refer to :
brainly.com/question/22688504
#SPJ13
Answer:
48π or 150.72
Step-by-step explanation:
The radius of the big circle is 8.
We can use that to find the area of the big circle.
Area is πr^2
π(8)^2
64π
Now, we can find the area of the small circle.
The diameter of that is 8, meaning the radius is 4.
πr^2
π(4)^2
16π
Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.
64π-16π=48π
As a decimal: 48*3.14=150.72
Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, simply the problem, then you multiply the tops and the bottoms separately to get your answer.
Answer: x=35 and y=72.5
Step-by-step explanation:
Everything os 360, so x is 35 because it los like it has the same measure as the another 35, so if you substract 70 360=290 and 290/4 = 72.5
