diameter of 12 centimeters?
Answer:
113
Step-by-step explanation:
area of a circle is 3.14*r^2
r=d/2 r=6
3.14*36=113
For the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Algebra tiles is the use of tiles to represent variables and constants.
Given the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.
Find out more on Polynomial at: brainly.com/question/2833285
Answer:
Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.
WARNING!!!!!!!
This is an sample response, so if u can put it in your own words.
∫ e^(3x)*(cosh(2x)dx
= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx
= ∫ [(e^(5x)+e^x)/2]dx
=e^(5x)/10+e^x/2+C
=(1/10)(e^(5x)+5e^x)+C
Answer:
C.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Algebra I
Algebra II
Step-by-step explanation:
Step 1: Define
x² - 5x + 7 = 0
Step 2: Identify Variables
a = 1
b = -5
c = 7
Step 3: Find solutions
The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Option C is the correct answer.
We have,
To find the solutions of the quadraticequation x² - 5x + 7 = 0, we can use the quadraticformula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 1
b = -5
c = 7
Substituting these values into the quadraticformula,
x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))
Simplifying further:
x = (5 ± √(25 - 28)) / 2
x = (5 ± √(-3)) / 2
Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are norealsolutions to this quadratic equation.
The solutions exist in the complex number system.
So,
√-1 = i
x = (5 ± i√3) / 2
This can be written as,
x = (5 + i√3) / 2
and
x = (5 - i√3) / 2
Thus,
The solutions to the equation x² - 5x + 7 = 0 are:
x = (5 + i√3) / 2 or x = (5 - i√3) / 2
Learn more about solutionsofequations here:
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4(x – 7)2 – (x – 7) + 3
(4x2 – x + 3) – 7
(4x2 – x + 3)(x – 7)
Answer:
D is the correct option.
Step-by-step explanation:
We have been given that
We have to find
which means we have to find the product of these two expressions.
We can rewrite as
Therefore, we have
Hence, the equivalent expression is
D is the correct option.