Select the graph of the solution. Click until the correct graph appears.



| x | + 1 > 2

Select The Graph Of The Solution. Click Until The Correct Graph Appears.| X | + 1 > 2
Select The Graph Of The Solution. Click Until The Correct Graph Appears.| X | + 1 > 2
Select The Graph Of The Solution. Click Until The Correct Graph Appears.| X | + 1 > 2

Answers

Answer 1

Answer: Third Graph

Step-by-step explanation:

Given inequality

|x| + 1 > 2

Subtract 1 on both sides

|x| + 1 - 1 > 2 - 1

|x| > 1

Simplify the absolute value sign

x > 1 or x < -1

Apply the inequality to the graph

Since it is less than or greater than, the circle should be hollow

Since it is less than -1 or greater than 1, one line should point to the left and another should point to the right

Therefore, it should be the Third Graph

Select The Graph Of The Solution. Click Until The Correct Graph Appears.| X | + 1 &gt; 2

Related Questions

Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.

p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
(StartFraction negative 6 Over 2 EndFraction) squared = 9; p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?

In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.

Answers

Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

whatever you do to the inside you must do to the opposite to the outside

so your final form must be -7(x-3)^2 + 8

Aria makes 12 dollars for each hour of work. Write an equation to represent her total pay, p, after working h hours.

Answers

Answer:

12×h=p

Step-by-step explanation:

if she works for 12 dollars per hour you multiply the 12 dollars buy the hours she worked to get the p

A polynomlal function has x-Intercepts at -2, ;, and 2 and a relative maximum at x=-1. graph Which graph matches the description of this function?

Answers

The graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

How to Determine the Graph of a Polynomial Function?

We are given that the polynomial function has the following characteristics:

Relative maximum at x = -1, this implies that the peak point of the graph has an x-value that is equal to -1. In order words, the "mountain" is at x = -1.

Graph A has a "mountain" that is at x = -1.

We are given the x-intercepts of the polynomial function as:

-2, 1/2, and 2. This means that the graph intercepts the x-axis at -2, 1/2, and 2.

Graph A in the image attached has x-intercepts of -2, 1/2, and 2.

Therefore, we can conclude that the graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

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5. Elias has 1/2 of a candy bar. He shares 1/4 of it with his best friend. How much of the candy bar did his best friend receive?​

Answers

Answer:

1/8

Step-by-step explanation:

say the bar has 20 pieces. he has 10 pieces. and he gave away 1/4 of those 10

1/4 x 10 = 2.5

20 / 2.5 = 8

So his friend recieved 1/8

you could also just do 1/2 x 1/4 which is 1/8

Answer:

1/8 of the candy bar.

Step-by-step explanation:

Elias has 1/2 of a candy bar.

He gave 1/4 of 1/2 to his friend.

[tex]\sf Friend's s\ share = \dfrac{1}{4} \ of \ \dfrac{1}{2}[/tex]

                      [tex]\sf =\dfrac{1}{4}*\dfrac{1}{2}\\\\=\dfrac{1}{8}[/tex]

Find the area of the shaded region. Round the answer to the nearest
tenth decimal place.

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Area of shaded region = 2571.66 in²

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Radius of smaller circle = 25 in

Radius of larger circle = 25 + 13 = 38 in

Area of ring : Area of larger circle - Area of smaller circle

[tex]\qquad❖ \: \sf \:\pi {(38)}^{2} - \pi {(25)}^{2} [/tex]

[tex]\qquad❖ \: \sf \:\pi( {38}^{2} - 25 {}^{2} )[/tex]

[tex]\qquad❖ \: \sf \:3.14(1444 - 625)[/tex]

[tex]\qquad❖ \: \sf \:3.14(819)[/tex]

[tex]\qquad❖ \: \sf \:2571.66 \: \: in {}^{2} [/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Area = 2571.66 in²

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).
What is the solution to the system of equations?

Answers

Answer:

(0, -5)

Step-by-step explanation:

The two different lines have point (0, -5) in common, so the solution is (0, -5).

1a, b/46 = 50/23 1b. 34/d = 68/44​

Answers

Answer:

1a. 100, 1b. 22

Step-by-step explanation:

1a. Given information from the question:

[tex] \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100[/tex]

1b. Given information from the question:

[tex] \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22[/tex]

Answer:

• [tex]b = \bf 100[/tex]

• [tex]d = \bf 22[/tex]

Step-by-step explanation:

To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.

1a.

[tex]\frac{b}{46} = \frac{50}{23}[/tex]

⇒ [tex]b = \frac{50 \times 46}{23}[/tex]             [multiplying both sides by 46]

⇒ [tex]b = \bf 100[/tex]

1b.

[tex]\frac{34}{d} = \frac{68}{44}[/tex]

⇒ [tex]34 = \frac{68 \times d}{44}[/tex]               [multiplying both sides by d]

⇒ [tex]34 \times 44 = 68 \times d[/tex]    [multiplying both sides by 44]

⇒ [tex]\frac {34 \times 44}{68} = d[/tex]               [dividing both sides by 68]

⇒ [tex]d = \bf 22[/tex]

6x+4y-3z,7x-11y-9z,14x+8y-6z

Answers

Step-by-step explanation:

i donot know

sorry about this

What is the fiftieth term in the sequence 5, 7, 9, 11, 13 …?

Answers

The 15th term in the given A.P. sequence is a₁₅ = 33.

According to the statement

we have given that the A.P. Series with the a = 5 and the d is 2.

And we have to find the 15th term of the sequence.

So, for this purpose we know that the

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is a

an = a + (n-1)d

After substitute the values in it the equation become

an = 5 + (15-1)2

a₁₅ = 5 + 28

Now the 15th term is a₁₅ = 33.

So, The 15th term in the given A.P. sequence is a₁₅ = 33.

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The volume of the square-based pyramid shown is 72 m³. If the area of its
base is 36 m2, what is the height (h) of the pyramid?
base,

Answers

Answer:

Height = 6m

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 36 = 12

72 ÷ 12 = 6

To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additional $1.28 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $57 and $87 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)

A) 057 ≤1.28x-38 s 87; To stay within the range, the usage should be between 44.5 and 97.7 HCF.

B) 57 s 1.28x - 38 s 87; To stay within the range, the usage should be between 74.2 and 97.7 HCF.

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

D)57 s 1.28x+38 ≤ 87; To stay within the range, the usage should be between 14.8 and 67.9 HCF.

Answers

Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an intercept of $38 and a slope of $1.28, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

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12. Diameter,
A = 72Pie
(Circle)

Answers

Answer:

6.98

Step-by-step explanation:

I think that you are looking for the diameter and you are given the area of a circle.

a =[tex]\pi r^{2}[/tex]  You are given pi, so [tex]r^{2}[/tex] = 72.

That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place.  The diameter is equal to 2 radius, so the diameter rounded is 16.98

Pythagorean Theorem
In a right triangle, the square of the _____ equals the sun of the squares of the ______.

Answers

Answer: In a right triangle, the square of the Hypotenuse equals the sun of the squares of the other two sides.

Step-by-step explanation: a^2+b^2=c^2

Answer: the Pythagoras theorem states that in a right angled triangle, the square of THE HYPOTENUSE is equal to the sum of the squares of the OTHER TWO SIDES.

Step-by-step explanation: :)

At the city museum, child admission is $6.20 and adult admission is $9.40. On Thursday, 163 tickets were sold for a total sales of $1221.80. How many adult
tickets were sold that day?

Answers

Systems of Equations

To form a system of equation from a word problem, we must recognize different variables to form different equations.

Solving the Question

Let a represent the number of child tickets.

Let b represent the number of adult tickets.

We're given:

1a = $6.201b = $9.40a and b in total is 163Total sales = $1221.80

Because we're given that a and b in total is 163, we can form the following equation:

[tex]a+b=163[/tex]

We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:

[tex]6.2a+9.4b=1221.8[/tex]

Here are our two equations:

[tex]a+b=163[/tex]

[tex]6.2a+9.4b=1221.8[/tex]

Solving the System of Equations

We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:

[tex]6.2(a+b)=6.2(163)\\6.2a+6.2b=1010.6[/tex]

Subtract this new equation from the second equation to cancel out a:

[tex]\hspace{10}6.2a+9.4b=1221.8\\- 6.2a+6.2b=1010.6\\\rule{100}{0.5}\\3.2b=211.2[/tex]

Solve for b:

[tex]b=66[/tex]

Therefore, the number of adult tickets sold is 66.

Answer

66

The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the x-axis is closest to?

Answers

The angle that vector makes with the x-axis is closest to [tex]340^\circ[/tex].

What is a vector?

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

If the magnitude and direction of two vectors match, they are the same vector. This indicates that if we take a vector and move it to a different point (without rotating it), the vector we finish up with is the same vector we started with.

Given,

[tex]x[/tex]-component of vector = 5.3

[tex]y[/tex]-component of vector = -2.3

angle = [tex]tan^{-1}(\frac{y}{x})[/tex]

angle = [tex]tan^{-1}(\frac{-2.3}{5.3} )[/tex]

angle = [tex]340^\circ[/tex]

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What is the perimeter of the given triangle?

10 units
16 units
17.2 units
19.2 units

Answers

Answer:

17.2 units

Step-by-step explanation:

You would use the Pythagorean Theorem to solve. The height (a) is 4 units. The base (b) is 6 units.

4^2 + 6^2 = sqrt(52)


This would mean that the hypotenuse is 7.211102550927979 units or 7.2 units (the square root of 4^2 + 6^2).


Now you would need to just add all three sides.
6 + 4 + 7.2 = 17.2 units


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I have a list of five numbers, where the first number is 1 and the fifth number is 5. Each of the other numbers is equal to one more than the average of its two neighbors. What is the sum of all five numbers in the list?

Answers

The sum of all five numbers in the list is 25.

According to the question,

The first number on my list of five numbers is 1, and the fifth is 5. The other figures are all one more than their two nearest neighbors' averages.

Let the list of numbers be 1,x,y,z,5.

As each of the other numbers is equal to one more than the average of its two neighbors.

x=(1+y)/2+1

2x=3+y   -(1)

Similarly,

y=(x+z)/2+1

2y=x+z+2   -(2)

z=(y+5)/2+1

2z=y+7    -(3)

Multiply equation (2) by 2 and then substitute equations (1) and (3),

4y=3+y+y+7+4

4y=2y+14

2y=14

y=14/2

y=7

From equation (1),

2x=3+7

2x=10

x=5

From equation (3),

2z=7+7

2z=14

z=14/2

z=7

The list is: 1,5,7,7,5

Sum of the numbers of list = 1+5+7+7+5 = 25

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Question is in image below:

Answers

The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25

How to compute the equation?

The following can be deduced:

Function Y=Asin(wt-Φ)+β

Amplitude A=(16.5-8)/2=4.25 hours

Vertical shift  β= (16.5+8)/2=12.25

Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26

The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :

[0,13], [13,26],[26,39],[39,52]

The summer solstice occurs at the end of week 24.

The winter solstice occurs at the end of week 51.

The maximum of sine function happens at the end of the first sub-interval [0,13]

Here, Φ is 11, thus, the function would be

Y=4.25 sin[(π/26)(t-11)]+12.25.

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A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal.

Answers

It is to be noted that at the seven and half year, is when the revenue of both ads became equal. This is a graph problem. See the explanation below.

What is the explanation for the above answer?

Step 1:

Note that the amount of money earned by routine company activities is known as revenue, which is calculated by dividing the average sales price by the number of units sold.

Step 2:

Note that the graph is to be used to justify the statement by the lead executive.

Step 3

From the graph, we know that the revenue in the 10th year for printed ads was $ 2,000,000 and $ 3,000,000 for online ads. Represented on as coordinates, that would be (0,3); (10, 2).

Thus, we can create an equation that states:

(y-2) = [(3-2)/(0-10)] * (x - 10)

⇒ y - 2

= [-1/10] * [x - 10]

Hence,

10y - 20 = - x + 10

10 y + x = 30 ........Lets call this equation A

We can also state that:

Online revenue coordinates on the graph are (0,0,) (10, 3)

Thus,

(y-0) =

[(3-0)/(10-0)] (x -0)

⇒ y = [3x/10]  [10y - 3x] = 0.........Lets make this equation B

For printed Ad Revenue:

Year 12= x

10y + 12 = 30

Y = 18/10

y = 1.8

For online Ad revenue

Year = 12 = x

10y = 36

Y = 36/10

y = 3.6

From the above, it is clear that in year 10, the online ad revenue got doubled as same as that of revenue from printed ads.

In order to get the year in which the revenue were equal, we solve both equations simultaneously:

+ 10y + x = 30

±  10y ≠ 3x = 3

4x = 30

x thus, = 30/4

= 7.5

Thus, it is correct to state that both revenue's became equal by the mid of the 7th year going to the eight year.

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Full Question:

Missing graph is attached.

Find the measure of arc IK if theta equals 58°

Answers

Check the picture below.

Simplify the expression below.
2^3 x 2^2
A.46
B. 45
C. 25
D. 26

Answers

Answer: 32 is the answer to the expression you provided.

Step-by-step explanation:

[tex]2^3\times2^2\\2\times2\times2\times2\times2\\4\times4\times2\\16\times2\\\rightarrow32[/tex]

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\boxed{E}\textsf{quation:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]


[tex]\huge\boxed{S}\textsf{olving:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]

[tex]\mathsf{= 2\times2\times2 \times2\times2}[/tex]

[tex]\mathsf{= 4\times4\times2}[/tex]

[tex]\mathsf{= 16\times2}[/tex]

[tex]\mathsf{= 32}[/tex]


[tex]\huge\boxed{T}\textsf{herefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{32}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
ABIs parallel to CD, and EFis perpendicular to AB.
The number of 90° angles formed by the intersections of EFand the two parallel lines ABand CDis

Answers

Answer:

  8

Step-by-step explanation:

The four angles formed at each intersection of lines are all 90°.

The total number of 90° angles at the two intersections is 2×4 = 8 90° angles.

Which linear inequality is represented by the graph

Answers

Answer:

the second choice

Step-by-step explanation:

The last two choices could not be correct, because it would need a dashed line.  The line under the greater than or less than symbol mean  that the line is included in the answer and it will be a solid line like you see in the picture.  For both of the top two answers the slope that they y intercept is correct.  You just have to decide is the symbol will be greater than or equal to or less than and equal to.  

If we put 0 in x for in the form y = mx + b, what would y be?

y = 1/3 x - 1

y = 1/3(0) - 1

y = -1

The ordered pair is (0,1).  That is the part that is shaded so that shows us that the second answer is correct.

Prove that the number A= [tex]20^{8^{2014} } }+113 is composite

Answers

Cheese proof:

We can just prove that it is divisible by 3, which means that it is composite. We can use modular exponentiation, where if [tex]a \equiv b \pmod{n}[/tex] then [tex]a^x \equiv b^x \pmod{n}[/tex]. In this case, [tex]{-1}^{8^{2014}} \equiv 20^{8^{2014}} \pmod{3}[/tex]. This is much easier to calculate! Since [tex]8^{2014}[/tex] is even, [tex]-1^{8^{2014}}=1[/tex], meaning that now we only need to prove that [tex]0\equiv(1+113) \pmod{3}[/tex], which is obviously true.

Katie is planning to paint the gate of her house that has a glass panel. Painting the gate costs $4 per square foot. How much will she have to spend to paint the gate?

Answers

Answer:

$14.15

Step-by-step explanation:

6+4+.75+.4

A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?

Answers

The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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An open-faced box is to be constructed by cutting squares out of the corners of a 12in by 12in
sheet of tin and folding up the sides. Which of the following describes the volume of such a
box?* (5 Points)

Answers

Step-by-step explanation:

Volume= lbh

= (12-2h)(12-2h)h

= 144h-48h²+4h³

The volume of the open-faced box is described by the polynomial equation:Volume = 4x³ - 48x² + 144x

To determine the volume of the open-faced box, we need to consider the dimensions of the box after cutting squares out of the corners and folding up the sides.

Let's assume that each side of the square cutout has a length of x inches.

When the squares are cut out and the sides are folded up, the resulting box will have dimensions:

Length = 12 - 2x inches

Width = 12 - 2x inches

Height = x inches

The volume of the box can be calculated by multiplying these dimensions:

Volume = Length * Width * Height

Volume = (12 - 2x) * (12 - 2x) * x

Volume = 4x³ - 48x² + 144x

Therefore, the volume of the open-faced box is described by the polynomial equation:

Volume = 4x³ - 48x² + 144x

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3
Anastacio distributed 4 4/5 kg of seed among several bird feeders. He put = 3/5 kg of seed in each
feeder. Let f represent the number of bird feeders that Anastacio filled.
Select 1 multiplication and 1 division equation to represent the relationship.
Choose 2 answers:
ƒx3/5=4 4/5
fx 4 4/5=3/5
3/5 divided 4 4/5=f
4 4/5 divided 3/5 =f

Answers

The equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

Ratio and proportion

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

If Anastacio distributed 4 4/5 kg of seed among several bird feeders and put 3/5 kg of seed in each feeder, the expression that represents the number of bird feeders that Anastacio filled is given as;

Number of bird feeder = 4 4/5 ÷ 3/5

f = 4 4/5 ÷ 3/5

Multiply both sides by

f * 3/5 = 4 4/5   ÷ 3/5 * 3/5

f * 3/5 = 4 4/5

Hence the equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f

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y=alpha sinx +beta cosx is the solution of d^2y/dx^2+dy/dx=0 where (alpha and beta are constant)

Answers

The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).

When a given equation is a solution of an ordinary differential equation

According to the statement, we must find in what conditions a given expression may be a solution of an ordinary differential equation. Then, first and second derivatives of the equation are:

y' = α · cos x - β · sin x                 (1)

y'' = - α · sin x - β · cos x              (2)

Then, we substitute on the ordinary differential equation:

(- α · sin x - β · cos x) + (α · cos x - β · sin x) = 0

And by algebraic handling we simplify the resulting expression:

- (α + β) · sin x + (α - β) · cos x = 0

Where each coefficient represents a constant of a linear combination:

α + β = 0

α - β = 0

Then, the solution of the system of linear equations is (α, β) = (0, 0). The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).

Remark

The statement is incomplete and complete form cannot be found, then we decided to create a new statement:

Please prove that y = α · sin x + β · cos x is the solution of the differential equation d²y / dx² + dy /dx = 0 where the following condition is observed, if and only if α = β = 0.

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The types of transformations of geometric figures in the coordinate plane can be described as a slide, a flip, or a turn. What are the other names used to identify these transformations?

Answers

The other names used to identify the transformation of geometric figures is translation or reflection and rotation.

Given that the types of transformations of geometric figures in the coordinate plane can be described as a slide, a flip, or turn.

We are required to find the other names used to identify the above transformations.

The other names used to identify the transformation of geometric figures is translation or reflection and rotation.

Translation means the displacement of a figure from one place to another. In translation a figure can move upward, downward,right , Iift or anywhere in the coordinate system. In translation, the position of the object changes, its size remains the same.

Reflection is a type of transformation that flips a shape in a mirror line so that each point is the same distance from the mirror line as its reflected point.

Rotation is a motion of a  space that preserves at least one point.

Hence the other names used to identify the transformation of geometric figures is translation or reflection and rotation.

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