Answer:
See below ↓↓↓
Step-by-step explanation:
Part A
Total length = Side 1 + Side 2
3x² - 2x - 1 + 9x + 2x² - 33x² + 2x² + 9x - 2x - 1 - 35x² + 7x - 4Part B
Length of 3rd side = Perimeter - [Side 1 + Side 2]
L = 5x³ + 4x² - x - 3 - [5x² + 7x - 4]L = 5x³ + 4x² - x - 3 - 5x² - 7x + 4L = 5x³ - x² - 8x + 1Part C
Yes, as the resulting polynomial has a finite value we can conclude that polynomials are closed under addition and subtraction.
Part A: The total length of the two sides of the triangle is [tex]5x^2+7x-4[/tex]. This is obtained by adding the given two sides.
Part B: The length of the third side is [tex]5x^3-x^2-8x+1[/tex]. This is obtained by subtracting the sum of two sides from the perimeter of the triangle.
Part C: Yes, the Part A and Part B answers show that the polynomials are closed under addition and subtraction. This is because the expressions have like terms.
Polynomials:These are the expressions that are formed with constants, coefficients, and variables. based on the highest degree of the variable in the expressions, the polynomials are classified into many types.Calculation:Given that, a triangle has two sides of length [tex]3x^2-2x-1[/tex] and [tex]9x+2x^2-3[/tex]
The perimeter of the triangle is [tex]5x^3+4x^2-x-3[/tex]
Part A:
To find the total length of two sides, adding the two side
⇒ [tex](3x^2-2x-1)+9x+2x^2-3\\[/tex]
⇒ [tex]5x^2+7x-4[/tex]
(adding the like terms w.r.t their sign)
Part B:
To find the length of the third side, subtract the sum of two sides from the perimeter.
⇒ [tex](5x^3+4x^2-x-3)-(5x^2+7x-4)[/tex]
⇒ [tex]5x^3-x^2-8x+1[/tex]
Part C:
From Part A and Part B, it is proved that the polynomials undergo addition and subtraction. Hence, it is justified.
Therefore, Part A, Part B, and Part C were obtained.
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help me with this math question pls
What's the question???
Answer:
Question Please
Step-by-step explanation:
I will solve it
Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
What do you think equilateral means??
Answer:
an equilateral is a shape that has equal/even sides. All measurements that are made will be equal to each other whether it is the length of the side or the degree an angle has.
Hope this helps! :D
Answer:
Equilateral - All sides are equal. For example, in an equilateral triangle all of the sides are equal in length.
Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!
Check the picture below.
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
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Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
1.Isolate one variable in the system of equations, if needed.
y = x2 – 3x + 12
y = –2x + 14
2.Use substitution to create a one-variable equation.
–2x + 14 = x2 – 3x + 12
3.Solve to determine the unknown variable in the equation.
What are the values of x?
{–2, 1}
{–2, 4}
{–1, 2}
{–1, 4}
Answer:
C. { - 1, 2}Step-by-step explanation:
The first two steps solved and the last step to be performed
Solve the quadratic equation
x² - 3x + 12 = - 2x + 14x² - 3x + 2x + 12 - 14 = 0x² - x - 2 = 0x² - 2x + x - 2 = 0x(x - 2) + (x - 2) = 0(x - 2)(x + 1) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = - 1The solution is:
{ - 1, 2}Correct choice is C
Solving from step 3
-2x+14=x²-3x+12x²-3x+2x-2=0x²-x-2=0(x-2)(x+1)=0x=2 or -1Option C
Einstein's theory of Relativity E=mc²
Answer:
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.
The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
×
E=mc2
In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.
The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
Answer:= The exponent is 12
Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:
[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)
Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
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Rosa has a garden in the shape of a parallelogram she says she can find the perimeter of her garden by adding the two sides and doubling the sum is rosa correct
Rosa is correct. The perimeter of a parallelogram can be determined by adding the two sides and doubling the sum.
What is a paralleogram?A parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .
The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.
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Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.
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Which term describes an idea or a feeling suggested by a word?
Answer: connotation
Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
A website charges the same shipping fee on every order. The table shows the relationship between the cost of the items on the website, a, and the total cost including shipping, y. Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x +
Answer:
Cost of Items ( x) $18 $35 $86 Total Cost (y) $26 $43 $94 - Х + = Complete the equation so that it models the relationship between the cost of the items on the website, I, and the total cost including shipping, y. Enter your answer in the box y = x + 76
Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with a 7.
How many possible codes that start with 7 could Megan create?
10,000 codes
70,000 codes
100,000 codes
700,000 codes
Answer:
The Answer Is 10,000 Codes
Proof :
Answer:
10,000
Step-by-step explanation:
Took k-12 quiz
) Neena buys books and puzzles at a yard sale. The price of a book is the same as the price of a puzzle. She spends $15.The situation can be represented by the graph and system of equations shown, where b is the price of each book and p is the price of each puzzle. What is the price of each book? What is the price of each puzzle?
Answer:
Each one 7.50 :)
Step-by-step explanation:
When we add, we can solve this!
7.50 + 7.50 = 15
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Each costs $7.50
Step-by-step explanation:
Given
1 book and 1 puzzle costs $15Both have the same costSolving
If they cost the same, divide the whole cost by the number of items (2)$15/2 = $7.50 [cost of a book/puzzle]Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?
Answer:
12 days
Step-by-step explanation:
The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]
Step-by-step explanation:
Given equation:
[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]
We have to find b.
tan 30° = 0.6
[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]
The number 3 represents of the class.
Answer:
WE CANT ANSWER WITH THAT LITTLE OF INFORMATION
If a=9 and b=4, what is the value of 2a−b ?
Replace a and b with their values:
2(9) -4 = 18-4 = 14
answer: 14
Answer:
14
Step-by-step explanation:
2a - b
substitute the variables
2 × 9 - 4
18 - 4
14
Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football
I believe the answer is football.
HELP PLEASE I HAVE A TIME LIMIT
the net for a pentagonal prism has 7 regions and 10 vertices. use Euler's formula to find the number of segments
Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
What is the Euler's Formula?The Euler's formula is given as, F + V = E + 2, where:
F = number of faces (number of regions)V = verticesE = number of edges (number of segments).Given that the pentagonal prism has the following dimensions:
F = 7V = 10E = number of segments = ?Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
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NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE
1. A rectangular prism has a length of 20 in, a width, of 2 in, and a height of 3 ¼ in. What is the volume of the prism? Question 1 options:
V = 25 ¼ in³
V = 130 ¼ in³
V = 120 ¼ in³
V = 130 in³
2. What is the volume of a box that measures 4 ft. long, 2 ½ ft. wide, and 2 ft. tall?
Question 2 options:
V = 16 ½ ft. ³
V = 20 ft. ³
V = 40 ft. ³
V = 8 ½ ft. ³
3. Find the volume of a right rectangular prism with the measurements: length is 5/4 in, width is 2 in, and height is 4 in.
Question 4 options:
V = 40 in³
V = 2 3/4 in³
V = 11/4 in³
V = 10 in³
Answer:
1. V = 130 in³
Step-by-step explanation:
1. You can find the volume of a rectangular prism with this formula:
( l • w )h
(20 • 2)3 1/4
=
130
And then add the label in³
Answer:2. V = 20 ft³
Step-by-step explanation:2. A box is the same as a rectangular prism.
Use the same formula to find the answer.
(4•2 1/2)2
=
20
And then add the label ft³
Answer:3. V = 10 in³
Step-by-step explanation:3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.
5/4 = 1 1/4 or 1.25
(1.25 • 2)2
=
10
And then add the label in³
PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!
Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)
Answer:
A(0,1) B(0,4) C(1,2) D(3,2)
Step-by-step explanation:
I only need help on this one Geometry question! Please help! I will give 30 points.
Do not round, enter full answer. No units of measure just the number. A cone shaped funnel has a diameter of 4.8 inches and a height of 4 inches. What is the volume of the funnel? Use 3.14 for pi. Enter your answer as a decimal, in the box.
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times in between equally likely. A) What is a probability that Chris changes a given tire in less than 9 min? b) What is the probability that it takes between 9 min and 11. 5 min? c) What is the probability that it takes exactly 10 min?
picture explains
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Answer:
Yes, AB is tangentStep-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
20² = 16² + 12²400 = 256 + 144400 = 400Confirmed
Answer:
AB is tangent to the circle
Step-by-step explanation:
The tangent of a circle is always perpendicular (at a right angle) to the radius. Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven:
a = 12b = 16c = 20Substitute the given values into the formula:
[tex]\implies 12^2+16^2=20^2[/tex]
[tex]\implies 144+256=400[/tex]
[tex]\implies 400=400[/tex]
Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.
Find X and y
12, 16
Answer:
x = 6√2y = 6√6Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
__
xlong side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
__
yhypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
hurry !!! not much time left
The correct answer would be:
-10x + y = 4
10x - y = -4
remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.
Most common is 7
So
7(3x⁵+2x³-5)Use distributive law to verify
21x⁵+14x³-35Verified
GCF is 7
I am between 18 x 20 and 780 ÷ 2. I am a multiple of 9, and I am even. Who am I?
Answer:
378
Step-by-step explanation:
18 times 20 is 360
780 divided by 2 is 390
9 times 40 is 360 needs to be over 360
9 times 41 is 369
9 times 42 is 378 only even number
9 times 43 is 387
9 times 44 is 396 needs to be under 390
