If EF = 14 and FG = 12, what is EG?

Answer:

b

Step-by-step explanation:

The person above me is correct <:

It's B on edge 2022 .

Answer:

Step-by-step explanation:

One of the Answers is C

A linear equation - y = 5x -7 is a slant line with intercepts for linear equations. A vertical line is x = 2. A line that runs through the origin is y = 3/4x.

A slant line with intercepts is y = 1/2x + 3. A horizontal line is y = 9. The line x = -1 runs vertically.

A direct condition is one that has a level of 1 as its most extreme worth. As a result, there is no variable in a linear equation with an exponent greater than 1. The graph of a linear equation will always be straight.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line does not traverse the origin. As a result, this equation has intercepts and slant lines.

Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.

Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line actually traverses the origin. As a result, the origin of this equation is traversed by slant lines.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line does not traverse the origin. This equation is therefore a slant line with intercepts.

Since there is no x-intercept in this equation, it will be a horizontal line that runs parallel to the x-axis.

Additionally, this line does not traverse the origin. As a result, there is a horizontal line in this equation.

Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.

Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.

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Answer:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

In ΔABC ,

\(=> 0.2588... = \frac{BC}{60}\)

\(=> BC = (0.2588....) \times 60 = 15.5291.....\) ≈ 15.5 ft

\(=> 0.9659..... = \frac{AC}{60}\)

\(=> AC = (0.9659.....) \times 60 = 57.9555.....\) ≈ 58 ft

Area of ΔABC = \(\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2\)

The three types of investors in a business are, active investors, pre-investors and passive investors.

       A person who is simply not involved in any kind of investments, are

       called as pre-investors. A pre-investor's financial world is primarily              

       based upon consumption by giving a little preference to savings or

       investments.

       It is a starting point of an individual's entering into the investment                

      world for an individual. When an individual graduates, and learn and

      gain knowledge about investments, he sub-divides his income into

      investments to expand his income further.

       Active investors are basically built upon the foundation of the

       passive investors. They take their investments into higher heights in

       order to handle their wealth as their business.

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Answer:

\(\frac{9}{10}\)

Step-by-step explanation:

Let the fraction be \(\frac{x}{y}\).

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

\(\frac{9}{10}\)

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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The probability that two consonants and one vowel are chosen is 0.536.

Probability determines the chances that an event would happen. The probability the event occurs lies between 0 and 1.  

The probability that two consonants and one vowel =( \(\frac{5!}{3!2!} . \frac{3!}{2!1!}\)) ÷ \(\frac{8!}{3!5!}\) = 0.536

Here is the complete question: The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vowel are chosen? 0.536 0.268 0.179 0.089

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Answer:

A

Step-by-step explanation:

cuz yes

Answer:

Based on the definition of an isosceles triangle, the measure of angle L is: 43°

An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.

Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.

If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).

This implies that: m∠M = 43°

In summary, based on the definition of an isosceles triangle, the measure of angle M is: 43°

Answer:

x = 2

Step-by-step explanation:

B(x) = - 1 means what is the value of x for y = - 1

This is the dot positioned at (2, - 1 )

with x = 2

Answer: its the first one

Step-by-step explanation:

hope thats what your lookinf for

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

\(\mathbf{P = 360}\)

Because it has one additional fence, the perimeter is calculated as:

\(\mathbf{2x + y = 360}\)

Make y the subject

\(\mathbf{y = 360 - 2x}\)

The area is calculated as:

\(\mathbf{A = xy}\)

Substitute \(\mathbf{y = 360 - 2x}\)

\(\mathbf{A = x(360 -2x)}\)

Expand

\(\mathbf{A = 360x -2x^2}\)

Differentiate

\(\mathbf{A' = 360 -4x}\)

Set to 0

\(\mathbf{360 -4x = 0}\)

Rewrite as:

\(\mathbf{4x = 360}\)

Divide both sides by 4

\(\mathbf{x = 90}\)

Substitute 90 for x in \(\mathbf{A = 360x -2x^2}\)

\(\mathbf{A = 360 \times 90 - 2 \times 90^2}\)

\(\mathbf{A = 16200}\)

Hence, the maximum area is 16200 square yards

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The zeros of the function \(f(x) = x^2 - 5x + 5\), written in simplest radical form, are not rational numbers.  We get \(x = (5 ± √5)/2\). These are the zeros of the function in the simplest radical form.

The zeros of the function \(f(x) = x^2 - 5x + 5,\)written in simplest radical form, are not rational numbers.

To find the zeros, you can use the quadratic formula.

The quadratic formula states that for a quadratic equation in form\(ax^2 + bx + c = 0\), the solutions are given by \(x = (-b ± √(b^2 - 4ac))/(2a).\)

In this case, a = 1, b = -5, and c = 5.

Plugging these values into the quadratic formula, we have \(x = (5 ± √(25 - 20))/(2).\)

Simplifying further, we get \(x = (5 ± √5)/2.\)

These are the zeros of the function in the simplest radical form.

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The zeros of the function \(f(x) = x^2 - 5x + 5\) written in simplest radical form are\(\(\frac{\sqrt{5} + 5}{2}\)\) and \(\(\frac{-\sqrt{5} + 5}{2}\)\).

The zeros of a function are the values of \(x\) that make the function equal to zero. To find the zeros of the function \(\(f(x) = x^2 - 5x + 5\)\), we can set the function equal to zero and solve for \(x\).

\(\[x^2 - 5x + 5 = 0\]\)

To solve this quadratic equation, we can use the quadratic formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]\)

In this case, \(\(a = 1\), \(b = -5\)\), and \(c = 5\). Plugging these values into the quadratic formula, we have:

\(\[x = \frac{-( -5) \pm \sqrt{(-5)^2 - 4(1)(5)}}{2(1)} = \frac{5 \pm \sqrt{25 - 20}}{2}\)= \(\frac{5 \pm \sqrt{5}}{2}\]\)

So the zeros of the function\(\(f(x) = x^2 - 5x + 5\) are \(\frac{5 + \sqrt{5}}{2}\) and \(\frac{5 - \sqrt{5}}{2}\).\)

In simplest radical form, the zeros are\(\(\frac{\sqrt{5} + 5}{2}\) and \(\frac{-\sqrt{5} + 5}{2}\).\)

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PQRS is a quadrilateral and  ∠a = 70° and  ∠c = 137°

PS is parallel to NQ, So,  ∠ a = 70 ° as they are alternate interior angles,

Now, for angle c,  

∠c + ∠ a + 153  ° = 360 ° ( The sum of all the angles around a point is always 360 °)

Now, ∠c + ∠ a + 153  ° = 360 °

Putting  ∠ a  = 70 ° in the above equation, we have :

∠c  + 70°  + 153  ° = 360 °

∠c + 223°  = 360 °

∠c = 360 °  - 223  ° = 137  °

PQRS is a quadrilateral

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Answer:

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

The slope intercept form is typically in the form of

y=mx+c

c=-2

m=4

The slope intercept form of the equation is

y=4x-2

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

D. A(n) = (n-1)(p•n)^i, where n is any real number

Step-by-step explanation:

The simple interest formula is P x R x T

------------

100

In this question I'm not completely sure what they mean but I'd go with the closest answer. D

Answer:

You will be able to spend your money for a total of 16 days.

Step-by-step explanation:

Total money won: $48

Since you are starting off with $48, divide the amount of money you will be using each day. 48 divided by 3 is equal to 16.

Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.

  Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.

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Answer:

La escala es 1 : 10000 centimetros

Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.

Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.

The value of T(v), express v as linear combination in the basis B and the matrix representation of T obtain is T(v) = [4, -4].

To find T(v), we need to express v as a linear combination of the basis vectors of R^3 with respect to B:

v = (-1)[0] + (-1)[0] + (1)[1]

This means that the coordinate vector of v with respect to B is [-1, -1, 1].

To find the matrix representation of T with respect to the standard bases of R^3 and R^2, we can apply T to each of the basis vectors:

T([1, 0, 0]) = [1, 3]

T([0, 1, 0]) = [-1, 1]

T([0, 0, 1]) = [2, -2]

We can arrange the results in a matrix:

[1 -1 2]

[3 1 -2]

The matrix [1 -1 2; 3 1 -2] represents T with respect to the standard bases of R^3 and R^2.

To find T(v), we can multiply the matrix representation of T with the coordinate vector of v with respect to B:

T(v) = [1 -1 2; 3 1 -2] * [-1; -1; 1] = [4; -4]

Therefore, T(v) = [4, -4].

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Answer:

1/3 i believe

Step-by-step explanation:

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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The function f : Z x Z → Z x Z defined by \(f(m,n) = (5m+4n, 4m+3n)\) is bijective, with its inverse given by \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\). This means that for every pair of integers (m,n), the function f maps them uniquely to another pair of integers, and the inverse function \(f^{-1}\) maps the resulting pair back to the original pair.

The inverse of the function f(m,n) = (5m+4n, 4m+3n) is \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\).

To show that the function f is bijective, we need to prove both injectivity (one-to-one) and surjectivity (onto).

Injectivity:

Assume f(m1, n1) = f(m2, n2), where (m1, n1) and (m2, n2) are distinct elements of Z x Z.

Then, (5m1 + 4n1, 4m1 + 3n1) = (5m2 + 4n2, 4m2 + 3n2).

This implies 5m1 + 4n1 = 5m2 + 4n2 and 4m1 + 3n1 = 4m2 + 3n2.

By solving these equations, we find m1 = m2 and n1 = n2, proving injectivity.

Surjectivity:

Let (a, b) be any element of Z x Z. We need to find (m, n) such that f(m, n) = (a, b).

By solving the equations 5m + 4n = a and 4m + 3n = b, we find m = -3a + 4b and n = 4a - 5b.

Thus, f(-3a + 4b, 4a - 5b) = (5(-3a + 4b) + 4(4a - 5b), 4(-3a + 4b) + 3(4a - 5b)) = (a, b), proving surjectivity.

Since the function f is both injective and surjective, it is bijective. The inverse function \(f^{-1}(m, n) = (-3m + 4n, 4m - 5n)\) is obtained by interchanging the roles of m and n in the original function f.

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The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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