Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both
Answers
Answer:
d, both
Step-by-step explanation:
both separe two identical halves :)
Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.
In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.
Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
To learn more on Coordinate system click:
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Related Questions
An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.
Answers
8 - n = -4 what does N equal
Answers
Answer:
Make N alone
There is an 8 so we subtract 8 from both sides so the equation is still equal
-4 - 8 = -12
Because we are subtracting N it is positive
N = 12
8 - 12 = -4
Hope this helps
Step-by-step explanation:
Differentiate the function.
y = (4x − 1)^2 (4 -x^5)^4
dy/dx=
Answers
Answer:
[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = (4x - 1)²(4 - x⁵)⁴
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule: [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply: [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor: [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
What reason allows the following statement to be true?
Given AB + CD = JK and CD = 5, then AB + 5 = JK
Answers
Answer: Subtituting CD =5 in AB + CD = JK
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
• AB + CD = JK (equation 1 )
• CD = 5 (equation 2)
So, we simply have to combine the equations.
Substituting CD =5 in equation 1:
AB + CD = JK
AB+(5) =JK
Feel free to ask for more if needed or if you did not understand something.
multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)
Answers
Answer:
(√10 +2√8)(√10 -2√8)=
(10 -8√5 + 8√5 -32)
10+0-32
10-32
= -22
Hope this helps.
Answer:
The other person is right, A. -22
Step-by-step explanation:
PLEASE I NEED A LOT OF HELP
Answers
Answer:
x = 45°
Step-by-step explanation:
Look at the picture*
Rod has to read a book which has p pages. He plans to read r pages each day for d days.
Write an equation for the number of pages left, b, in the book, after d days.
Answers
Answer:
Look at the attachment
The equation is an illustration of a linear function.
The equation for the number of pages left in the book is [tex]b =p- rd[/tex]
The total number of pages is:
[tex]Total = p[/tex]
The daily rate is:
[tex]Rate = r[/tex]
So, the number of pages read in d days is:
[tex]Pages = Rate \times Days[/tex]
This gives
[tex]Pages = r \times d[/tex]
Multiply
[tex]Pages = rd[/tex]
The number of pages left (b) is then calculated as:
[tex]b =Total - Pages[/tex]
So, we have:
[tex]b =p- rd[/tex]
Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]
Read more about linear equations at:
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In your own words, explain the steps you would need to take to find slope from data in a table.
Answers
Answer:
Sample Answer: Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING
Answers
Answer:
False
Step-by-step explanation:
(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents
(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents
(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents
These are my last points. I just wanted to give them away so the first one to answer correctly get the last points.
Answers
Answer:
x=-3
Step-by-step explanation:
\left(5^3\right)^2\cdot 5^{x+4}=5^7
Apply\:exponent\:rule
x+10=7
x=-3
Answer:
x = -3
Step-by-step explanation:
(5^3)^2 · 5^(x+4) = 5^7
First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.
(5^3)^2 = 5^(3·2) = 5^6
We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:
5^6 · 5^(x+4) = 5^7
We can divide 5^6 from both sides to get:
5^(x+4) = (5^7)/(5^6)
When exponents of like terms are divided we can subtract the exponents.
5^(x+4) = 5^(7-6)
5^(x+4) = 5^1
This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:
5^x · 5^4 = 5^1
We can divide both sides by 5^4.
5^x = (5^1)/(5^4)
We simplify the right side by the same way we did earlier when we divided exponents:
5^x = 5^(1-4)
5^x = 5^-3
We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:
x = log₅(5^-3)
If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.
So x = -3
Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:
x = -3(log₅5)
x = -3(1)
x = -3
Either way works.
Which expression is equivalent to 3x + 6y?
Answers
Answer:
3x+6y =0
-6y
3x=-6y
x=-2y
Step-by-step explanation:
