How do i solve this paper?
I feel like my answers are gone and i need help.

Answer:

Distance = [tex]\sqrt{(1-5)^{2} + (5-2)^{2} }[/tex] units

               = [tex]\sqrt{(-4)^{2} + (3)^{2} }[/tex] units

               =[tex]\sqrt{25}[/tex] units

               = 5 units

The line perpendicular to the line with an equation y = 6x have a slope of -1/6

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are perpendicular if the product of their slopes is -1.

Line M goes through the points (0, 0) and (1, 6). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-0=\frac{6-0}{1-0} (x-0)\\\\y=6x[/tex]

The slope of the line y = 6x is 6.

The line perpendicular to y = 6x have a slope of -1/6

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The similarity statement for the triangle is ΔPQR ~ ΔSTM

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words similar triangles have the same angles and the sides of the triangles are ratio of each other.

Hence, let find the statement of proportionality of the triangles as follows:

Therefore,

∠P ≅ ∠S

∠Q ≅ ∠T

∠R ≅ ∠M

And finally,

ΔPQR ~ ΔSTM

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The equation of the parallel lines is y = x + 2.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. No matter how far we extend a parallel line, it will never meet another parallel line.

The slope of two parallel lines are equal.

The equation of the given line is:

y = x + 6

here, the slope of the line is 1.

So, the slope of the new line is 1.

The new line has the coordinates (-4, 1).

Using the point-slope form we have:

y - y1 = m (x - x1)

y - 1 = 1 (x + 1)

y - 1 = x + 1

y = x + 2

Hence, the equation of the parallel lines is y = x + 2.

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No, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

As we know that the sum of the degrees of the vertices in a connected graph must be equal to twice the number of edges.

So, in this case, the sum of the degrees must be equal to 2 * K, where K is the number of edges in the graph.

Since the degrees of the vertices are 1, 1, 2, 2, 2, and 3,

the sum of the degrees is 1 + 1 + 2 + 2 + 2 + 3 = 11.

The number of edges must be K = 11 / 2 = 5.5,

which is not possible as the number of edges must be a positive integer.

Therefore, it is not possible to have a connected graph with six vertices of degrees 1, 1, 2, 2, 2, and 3.

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Simultaneous equation is a finite set of equations for which common solutions are soughtThe equivalent expression is 5x + 7y = 37

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Given the simultaneous equation below:

-2x - y = -4

7x + 8y = 41

In order to compress the equation into 1, we need to add the equation or subtract the equation

On adding, we will have:

(-2x + 7x) + (-y + 8y) = -4 + 41

5x + 7y = 37

Hence the equivalent expression is 5x + 7y = 37

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Answer:

Below

Step-by-step explanation:

Rate of change is   slope  = rise / run =  (0 - -3) / (-3 - -2) = 3/-1 = -3

The image here given an example of perpendicular line.

Correct option is: yes, the lines are intersect at right angle.

Two lines are perpendicular if they cross at a point where they provide a pair of linear angles that are congruent. If a transversal in a plane is parallel to one of two parallel lines, it is also parallel to the other line. Lines that cross at a straight angle (90°) are said to be perpendicular. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.

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Answer:

Option A (You chose it right)

Step-by-step explanation:

Base of triangle = [tex](\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2})[/tex] units

Since the two fractions have the same denominator, the resulting simplified fraction will have the same denominator and everything written in the numerator level will be copied down as it is:

                           = [tex]\frac{\sqrt{2} + \sqrt{2}}{2}[/tex]

                           =[tex]\frac{2\sqrt{2}}{2}[/tex]

                           = [tex]\sqrt{2}[/tex] units

Area:

Area of a triangle = [tex]\frac{1}{2}[/tex] × base of triangle × perpendicular height

                             = [tex]\frac{1}{2}[/tex] × ([tex]\sqrt{2}[/tex] units) × ([tex]\frac{\sqrt{3}}{2}[/tex] units)

                             = ([tex]\frac{\sqrt{2}}{2}[/tex] ×[tex]\frac{\sqrt{3}}{2}[/tex]) square units

     ∴ Area            [tex]= \frac{\sqrt{6}}{4}[/tex] square units

Perimeter:

It is the sum of all the outer sides (or outer boundaries) of the triangle:

Perimeter = Base of triangle + first slanted height + second slanted height

                = [tex](\sqrt{2} + \sqrt{2} + \sqrt{2})[/tex] units

                [tex]= 3\sqrt{2}[/tex] units

∴ Option A

Answer: -13

Step-by-step explanation:

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Therefore, the new triangle XYZ with vertices X'(-8,3), Y'(-1,2) and Z'(-2,-7) is obtained after the transformation.

Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners. Where a triangle's three edges intersect determines where its corners are. A triangle's interior sides add up to 180 degrees.

Here,

After the transformation, the new vertices of the triangle will be:

X(1-9, 8-5) = (-8,3)

Y(8-9, 7-5) = (-1,2)

Z(7-9, -2-5) = (-2,-7)

Therefore, the new triangle XYZ with vertices X'(-8,3), Y'(-1,2) and Z'(-2,-7) is obtained after the transformation.

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The term that best describes the analysis conducted by the researcher is "descriptive statistics".

What is Descriptive statistics?

A descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a set of data, whereas descriptive statistics is the process of employing and analyzing those statistics.

The term that best describes the analysis conducted by the researcher is "descriptive statistics".

Descriptive statistics is the branch of statistics that deals with the summarization, presentation, and interpretation of data. In this case, the researcher recorded the height of all 217 adult members of a tribe and calculated the average height, which is a measure of central tendency. The purpose of this analysis was to describe the distribution of height among the tribe members, rather than to make inferences about the population or test hypotheses about the population parameters.

In summary, the researcher used descriptive statistics to describe the distribution of height among the tribe members by summarizing the data using measures such as the average height.

Therefore, The term that best describes the analysis conducted by the researcher is "descriptive statistics".

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The percent error would be : {c - 78}/{c} x 100

Given is that the team ends up selling 78 cookies at next year's opening game.

Let the estimated value be {c} cookies. Now, we know -

%error = {a - x}/{x} x 100

%error = {c - 78}/{c} x 100

Therefore, the percent error would be : {c - 78}/{c} x 100.

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The solution of the expression (9t³n³)(−2t n²) will be -18t⁴n⁵.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (9t³n³)(−2t n²). The given expression will be solved as:-

E =  (9t³n³)(−2t n²)

E = 9 x -2 x t³ x t x n³ x n²

E = -18 x t³⁺¹ x n³⁺²

E = -18t⁴n⁵

Therefore, the solution of the expression is E = -18t⁴n⁵.

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Answer:



Step-by-step explanation:

X+

(2x+3)-(x+2)

First you subtract 3 by 2. You wil get 1.

They you subtract 2x by x. You will get 1

So, your answer is x+1

Implications of an empty row in the roof portion of the house of quality Customer requirements are potentially not being met by the product.

The house of quality serves as a form of conceptual road map for interfunctional communication and planning. In order to discuss design goals, people with various issues and responsibilities can refer to evidence patterns on the grid of the home.

Quality function deployment is a set of planning and communication procedures that concentrates and organises capabilities inside an organisation in order to first create, then manufacture, and finally sell products that consumers want to buy and will continue to buy. The idea that items should be high-quality is the cornerstone of the house of quality.

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Answer:

Step-by-step explanation:

It would be 4+g

Since we are trying to find how many lbs in total we would add the total we already know which is 4 and then add the g pounds of green apples

To calculate the total amount of apples Alan has bought, we simply apply the concept of Algebraic Expressions and add the pounds of red apples (which is 4) to the pounds of green apples (which is represented by g). This can be represented in a mathematical expression as 4 + g.

Alan bought 4 pounds of red apples and g pounds of green apples. To find out how many pounds of apples he bought in total, we need to add the quantities together. So, the expression that shows that is 4 + g. This means that Alan bought 4 pounds of red apples and g pounds of green apples, adding those two quantities together gives the total pounds of apples he bought.

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Jorge has a ticket has a probability of 0.3 of winning a prize. after seven days, probability that jorge has won at least one prize is 0.9176

Let the probability of Jorge winning be 0.3 so ,

Probability of not winning be (1-0.3)⁷

(0.7)⁷

= 0.0823

Therefore, Jorge not winning is 0.0823.

If he wins at least one prize is,

1 - P(win nothing)

1 - 0.0823

= 0.9176

Therefore, the probability that the Jorge wins at least one prize is 0.9176.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

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The required value of x, if the side length of Terrarium A is four times the side length of Terrarium B is 3.63.

A terrarium is a glass container with soil and plants inside of it that can be opened for maintenance purposes. Terraria, however, can be exposed to the atmosphere rather than being sealed. Terraria are usually kept as decorative or ornamental items.

The volume of Terrarium B is 2 m³, so its side length is the cube root of 2, which is approximately 1.26.

The side length of Terrarium A is 4 times that, or approximately 5.04. The volume of Terrarium A is [tex]2^x[/tex] cubic meters, so we can set up the equation:

(5.04)³ = [tex]2^x[/tex]

Taking the cube of both sides, we get:

125.7376 = [tex]8^x[/tex]

Taking the log base 8 of both sides:

x = log(125.7376) / log(8)

x is approximately 3.63.

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Ramon expression for price on sale d - 0.2d is equal to the calculated expression for the price on sale, hence correct

Raquel expression for the price 0.08d is not equal to calculated expression for price after discount 0.8d , hence incorrect.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Expression by Ramon to show the price of winter clothing with discount

= d - 0.2d

Expression of Price by Raquel = 0.08d

Let the price of the clothing is d,

Discount = 20% = 20% × d = 20d/100 = 0.2d

Price on sale = d - 0.2d

Solving the expression,

Price = d(1 - 0.2)

Price after discount = 0.8d

Hence, by the calculation

Ramon expression for the price on sale d - 0.2d is correct

while Raquel expression is incorrect because the expression for the price is 0.8d.

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The total cost for a meal of $110 plus a service charge of 18% is $129.8.

Given that, the meal costs $110 plus a service charge of 18%.

The total cost of the meal will be the addition of cost of meal and the service charge.

Total cost = cost of meal + service charge

Total cost = $110 + ( 18% × $110 )

Note that 18% is the same as 18/100

Total cost = $110 + ( 18/100 × $110 )

Total cost = $110 + ( 0.18 × $110 )

Total cost = $110 + ( $19.8 )

Add $110 and $19.8

Total cost = $129.8

Therefore, the total cost of the meal is $129.8.

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The value of the domain and the range of the composite function (gof)(x)  as per f(x) = e^x and g(x) = x + 6 is equal to x∈ R⁺  ( real numbers ) and

x > 6 , x∈ R⁺  respectively.

Function f(x) is equal to e^x

Function g(x) = x + 6

Composite function  (gof)(x) is equal to:

(gof)(x)

= g ( f(x))

= g ( e^x )

= e^x + 6

Domain represents all input values and range represents all output values.

Domain of the composite function (gof)(x) is equal to x∈ R⁺  (real numbers)

Range of the composite function (gof)(x)  is equal to  x > 6 , x∈ R⁺

Therefore, the domain and range of the composite function (gof)(x)  is equal to x∈ R⁺  ( real numbers ) and  x > 6 , x∈ R⁺  respectively.

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Answer:

10.4

Step-by-step explanation:

m² =10²+3² = 109

so m =√109 = 10.4

The chart fits the functional equation for all values of x, according to the claim made.

The Geometric Mean (GM) in mathematics is the average or mean that, by calculating the product of the values of the collection of numbers, denotes the central trend of the numbers. In essence, we combine the numbers collectively and calculate their nth root, in which n is the entire amount of data values.

We can use the given functional equation f(x+1) = 4(f(x)) to find the values of f(x) for each value of x, given that we know f(1) = 4. We start by computing:

f(2) = 4(f(1)) = 4(4) = 16

f(3) = 4(f(2)) = 4(16) = 64

f(4) = 4(f(3)) = 4(64) = 256

f(5) = 4(f(4)) = 4(256) = 1024

Now, we have determined all the values of f(x) for x=1 to 5. Since the table has 5 rows, we can write:

x f(x)

1 4

2 16

3 64

4 256

5 1024

We can check that the table satisfies the given functional equation f(x+1) = 4(f(x)). For example, when x = 3, we have:

f(x+1) = f(4) = 256

4(f(x)) = 4(f(3)) = 4(64) = 256

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A public event or celebration, typically held outdoors and involving stalls, entertainment, and processions.