What is the formula of line segment?

the function is [tex]f(x) = x^2.[/tex] The graph is what is known as the basic parabola. Take note of the graph's symmetry about the y-axis. The symmetry axis of this function is known as the y-axis.

Something bowl-shaped at the intersection of a right circular cone and a plane parallel to an element of the cone: a plane curve produced by a moving point so that its distance from a fixed point is equal to its distance from a fixed line (such as an antenna or microphone reflector). Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. Conic section is a topic that includes parabola, and this article covers all of its principles.

equation of tangent line = [tex]y - y1 = m (x - x1)[/tex]

equation of a circle =  [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]

equation of hyperbola =  [tex][(x2/a2) - (y2/b2)] = 1[/tex]

equation of a line = [tex]y = mx + c[/tex]

equation of slope = [tex]m= \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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Answer:

Step-by-step explanation:

3. collinear = on the same line. Answer: C

4. A

5. If two lines intersect, they intersect at a point. Answer: Point C

6. B

7. AB + BC = AC

AB + 9 = 22

AB = 13

8. EF + FG = EG

2 + 3 = EG

EG = 5

9. m<MNP + m<PNO = m<MNO

20 + m<PNO = 85

m<PNO = 65

10. m<GHK + m<KHJ = m<GHJ

90 + 31 = m<GHJ

m<GHJ = 121

11. AM = MB = 10

AM = 10

12. EM = MF = (1/2)EF = 14

MF = 14

13. GM + MH = GH

GM = MH = 3.4

3.4 + 3.4 = GH

GH = 6.8

14. m<CAB = m<BAD = (1/2)m<CAD

m<CAD = 40; (1/2)m<CAD = 20

x = m<BAD = 20

15. m<CAB = m<BAD

2y + 25 = 3y

25 = y

y = 25

The congruence's reflexive characteristic is applied to the statement AB ≅ AB.

In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. Assuming that an is a number, a = a. a=a. We discovered that anything is equal to itself thanks to the reflexive characteristic of equality. This characteristic's formula is a = a. All numbers are equal to one another, according to this property. For instance, three is three.

In mathematics, a set X's elements are considered to be reflexive if there is a relationship between each one of them. This can be expressed in terms of relations as (a, a) R a X or as I R, where I is the identity relation on A. As a result, it is said to hold reflexivity and to have a reflexive feature. Every angle, every line, and every figure or shape in geometry are congruent to one another according to the reflexive characteristic of congruence. This characteristic is typically employed in proofs of parallel lines and the congruence of two triangles.

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The operation that maps(moves)the preimage onto the image is called a transformation.

An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.

In mathematics, there are five different transformations:

Dilation is the process of an image "shrinking" or "enlarging," depending on the size of the preimage.

Reflection: The picture is a preimage that has been reversed; "a flip."

Rotation: The picture is the preimage turned around a fixed axis; this is referred to as "a turn."

Shear: When a preimage is sheared, all the points along one side remain stationary while all the other preimage points move parallel to that side in proportion to the distance from the given side; this is also known as "a skew."

Translation: The image is "a slide" away from the preimage by a fixed amount.

The operation that maps(moves)the preimage onto the image is called a transformation.

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SSS, SAS, AAS, and RHS are the similarity theories that are used to prove that two triangles are similar.

RHS: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent

SSS: In side side side postulate if all three sides of a triangle is equal to the respective three sides of the other triangle then we will use SSS postulate.

SAS: In side angle side postulate if two sides and one angle of a triangle is equal to the respective two sides and angle then we will use the SAS postulate.

AAS: In angle angle side postulate if two angle and one side of a triangle is equal to the other two angle and side of an another triangle respectively then we will use AAS postulate.

SSS,SAS,AAS,RHS are the similarity postulates that are use to prove two triangle is similar.

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The point (2,-4), (x,y), A, and B all lie on the line. An equation relating x and y is m(x-2)=y+4.

The points (2, -4), (x, y) are lie on the line.

The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x. Slope is a ratio that includes how y changes for every unit increase of x.

The slope formula,

m[tex](x_{2}-x_{1})= y_{2}-y_{1}[/tex]

Here, [tex]x_{1} = 2, x_{2}= x, y_{1}= -4[/tex] and [tex]y_{2}= y[/tex]

Now, we have to substitute the values in the formula,

[tex]m=\frac{y-(-4)}{x-2}[/tex]

[tex]m= \frac{y+4}{x-2}[/tex]

m(x-2)= y+4

Therefore, the equation is m(x-2)=y+4.

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The equation that can be used to calculate how many minutes after 4:00 p.m. she will arrive at her location is y = 4x - 16.

The correct equation is:

y = 4x - 16

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "4x" represents the time the pilot will arrive at her destination if she had traveled at her original speed, and the "-16" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 4(60) - 16

= 240 - 16

= 224

This means that the pilot will arrive 224 minutes after 4:00 p.m., or at 6:24 p.m.

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The roots of the graph of f(x) = (x+4)⁶(x+7)⁵ crosses the x axis at  x = -7 .

The Roots of the Graph of the equation is defined as the point at which the curve crosses the x axis , and also the roots satisfy the equation .

the function is given as : f(x) = (x+4)⁶(x+7)⁵ ;

let the function be denoted by y = f(x) .

If the graph crosses  x - axis , then the value of y is 0 .

that means ; (x+4)⁶(x+7)⁵ = 0   ;

which implies that , (x + 4) = 0   (x + 7) = 0 ,

simplifying ,

we get ; x = -4 and x = -7 .

we know that if the power of function is even the function bounces from the x axis ,

and if the power of function is odd the function crosses the x axis ,

Therefore , the graph crosses the x axis at  x = -7 .

The given question is incomplete , the complete question is

At which root does the graph of f(x) = (x+4)⁶(x+7)⁵ cross the x axis ?

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Answer:

Step-by-step explanation:

x= -6

The equation represents the graph is (y+1)² / 9 + (x+3)²/1 = 1 i.e, option(a)

Define Ellipse

In mathematics, an ellipse is the location of points in a plane so that their separation from a fixed point has a fixed ratio of "e" to their separation from a fixed line (less than 1). The conic section, which is the intersection of a cone with a plane that does not intersect the base of the cone, includes the ellipse. The eccentricity of the ellipse is symbolized by the constant ratio "e," the fixed point is known as the focus, and the fixed line is known as the directrix (d).

Standard from of the equation of an ellipse with centre (0,0) and major axis on x-axis is,

x² / a² + y² / b² = 1

Standard from of the equation of an ellipse with centre (H, K) and major axis parallel to the x-axis is,

(x - h)² / a² + (y - k)² / b² = 1

In equation,

(y+1)² / 9 + (x+3)²/1 = 1

Ellipse properties are :  (h,k) = (-3, -1) , a = 3, b = 1

b>a therefore b is semi-major axis, a is semi minor axis.

Ellipse Centre are :  (h,k) = (-3, -1) , a = 1, b = 3

Hence, the equation represents the graph is (y+1)² / 9 + (x+3)²/1 = 1 i.e, option(a).

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Answer:

Step-by-step explanation: 9x3

9x2

and 9 x 1 then when you get all of the answers but the answers  all  together now leave me alone pleaseeeeeeeeeeeeee  .

The transformation of the (-k, k) about the line y = x will be (k, -k). Then the correct option is A.

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection will be given as,

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

Now, the rule for reflecting a point about the line y = -x is;

While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates.

The change of the (- k, k) about the line y = x will be (k, - k). Then the right choice is A.

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Answer:

yes.

Step-by-step explanation:

The definition of a function:  "A function is defined as a relation between a set of inputs having one output each."

This means each x can only have 1 y value. You can check if this is a function using the vertical line test. To do the vertical line test draw vertical lines through the graph of the expression. If you even hit 2 points with a vertical line it is NOT as function.

The graph is of an upward facing parabola so it will be a function. We can graph and check this with the VLT which it passes.

Answer:

Bias from using a convenience sample (C)

Step-by-step explanation:

This sampling method is an example of taking a convenience sample because the mobile phone service provider is only taking samples from the people that responded. The availability of certain people causes a bias in the data drawn from this sampling method.

The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.

The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),

, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."

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Answer:

1. (C) Distributive property | 2. (A) Associative property | 3. (D) Simplify

Step-by-step explanation:

Here's my attempt:

Reason 1:

The first reason is (C) distributive property of multiplication because you're taking the previous step and spreading it out (distributing it). Here's an example of the distributive property of multiplication:

3(4+7) = 3*4+3*7=12+21=33

This will be the same as solving 3(4+7) using PEMDAS

In this step, you're spreading out the problem the same way as the example shown is doing.

Reason 2:

The second reason is (A) the associative property of multiplication. The associative property of multiplication says that changing the grouping of the numbers in a multiplication problem doesn't change the product.

Here's an example:

(6*7)*8 = 6*(7*8)

This way, the step groups together two pairs of factors to solve the last step without changing the product.

Reason 3:

The final reason is (D) Simplify because the step doesn't use the commutative property of multiplication. Why not? Because the commutative property of multiplication states that changing the order of factors in a multiplication problem doesn't change the product (note that this is different than the associative property of multiplication). Instead, the last step just simplifies the problem.

Hopefully, you read through my explanation, and it helped. Have a good day :D

The table shows the multiplication of two linear expressions. Select the correct reason for each step.

Reason 1:

✔ distributive property

Reason 2:

✔ commutative property of multiplication

Reason 3:

✔ associative property of multiplication

Reason 4:

✔ simplify

The median of given data is 4.

Given:

A data

2, 3, 4, 7, 5, 1, 6

To find: The median of given data.

The median of given data is 4.

To answer this question, we will follow the following steps:

As given, we have a data

2, 3, 4, 7, 5, 1, 6

To find the median, we will arrange the data in ascending order.

So, we have,

1, 2, 3, 4, 5, 6, 7

Here,

Total number of observations = 7

As we know if there is an odd number (n) of observations in a data, then its median is obtained by:

So,

The median of given data

Now,

4th observation is 4.

Hence, the median of given data is 4.

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The length of r is 2.4 inches.

What is the law of sines ?

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

Given, In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°

We know that, The sum of all angles of a triangle is 180°.

So,  ∠Q + ∠R + ∠S =  180°

      ∠R = 180° - 129° - 30°

            = 21°

Now, We also know that the law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal.

So, q/Sin Q = r/Sin R = s/Sin S

Or, we can say

                 r/Sin R = s/Sin S

                 r/Sin 21° = s/Sin129°

                 r/Sin 21° = 5.2 / Sin 129°

                 r = 5.2 × Sin 21°/Sin 129°

                   = 5.2 × 0.46

                   = 2.4 inches.

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According to the given question, we can say  that - 18 year old be in the 12th grade as per school requirement .

Grading may be done using letters, numbers, percentages, points, or descriptions. The most prevalent grades are in the form of letters, and they usually correspond to a variety of percentages or points. Many people consider "A" and "B" grades to be "good." D and F grades are referred to as "poor grades." Commonly regarded as average is a "C."

We can say that

10th grade = 16 or 17 year old ,

11th grade is = 17 or 18 and  12th grade is = 18 or 19.

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Answer:

( 4x + 8) = 4 (x + 2)

Step-by-step explanation:

We have to factor out the GCF

We see that ( 4x+8) have the GCF is 4, so 4 will go outside, and we have left x + 2

So the answer is

(4x+8) = 4 ( x +2)

A pair of Political affiliation and residential status can be used as pair of varibles for which the researcher conduct the chi-square test of independence.

We have a researcher survey random sample of 750 college students about their political views.

This survey contains the following variables,

A Chi-square test of independence is conducted by researcher and the pair of variables can the researcher use here is political affiliation and residential status. Because the Chi-square independence test is used to determine if there is a significant relationship between two nomial categorical variable.

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The factored form of the expression 6x² - 5x - 6 is (3x + 2)(2x - 3)    .

The Factored form of quadratic equations means expressing the polynomial as a product of its linear factors. This  process allows to simplify quadratic expressions, find their roots and solve further .

The expression is given ; 6x² - 5x - 6 .

= 6x² - 9x + 4x - 6    ,....by using split the middle term method ;

= 3x(2x - 3) +2(2x - 3) ;

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

Therefore , the factored form is (3x + 2)(2x - 3)  .

The given question is incomplete , the complete question is

What is the factored form of this expression 6x² - 5x - 6 ?

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Answer:

5

Step-by-step explanation:

there are five terms: 5xy, 9yz, 3zx, 5x, and 4y.

In mathematics, a term is a part of an expression that is separated by a plus or minus sign. In this expression, the terms are 5xy, 9yz, 3zx, 5x, and 4y. Note that the equation in the question is formatted a little awkwardly, so make sure to count how many terms you see yourself too!

The graph that represents the function f(x) = 4[x] is option C.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 4 [x]

[x] is the greatest integer function.

We see that,

f(0) = 4 [0] = 0

f(0.5) = 4 [0.5] = 4 x 0 = 0

f(x) = 0 for 0 ≤ x < 1

f(1) = 4 [1] = 4

f(1.5) = 4 [1.5] = 4 x 1 = 4

f(x) = 4 for 1 ≤ x < 2

f(2) = 4 [2] = 4 x 2 = 8

f(2.5) = 4 [2.5] = 4 x 2 = 8

f(x) = 8 for 2 ≤ x < 2

Thus,

The graph on option C has the required coordinates.

f(x) = 0 for 0 ≤ x < 1

f(x) = 4 for 1 ≤ x < 2

f(x) = 0 for 2 ≤ x < 2

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Answer:

11/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

44/60=22/30=11/15

11/15

AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Hence proved

AAS (Angle-Angle-Side):

Suppose we have two triangles from figure ABC and DEF, where,

∠B = ∠E [Corresponding angles] ∠C = ∠F [Corresponding angles] And

AC = DF [Adjacent sides]

By angle sum property of triangle, we know that;

∠A + ∠B + ∠C = 180 ………(1)

∠D + ∠E + ∠F = 180 ……….(2)

From equation 1 and 2 we can say;

∠A + ∠B + ∠C = ∠D + ∠E + ∠F

∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D

Hence, in triangle ABC and DEF,

∠A = ∠D

AC = DF

∠C = ∠F

Hence, by ASA congruency,

Δ ABC ≅ Δ DEF

So AAS (Angle-Angle-Side) congruence rule is hence proved.

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The simplest solution for this problem is to traverse the entire array and store the minimum and maximum values.

C++ implementation for the following problem

#include <iostream>

int main(){  

int arr[] = {1,2,3,4,5,6,7,8,9...........................99,100}; //initialize array

int min = arr[0]; //start value

int max= arr[0];  //start value

for(int i:arr) {

 if(i<min) min=i; // if current number lower update min

 if(i>max) max=i; // if current number bigger update max

}

std::cout<<"Min Value: "<<min<<"\nMax Value: "<<max<<"\n";

return 0;

}

The simplest solution for this problem is to traverse the entire array and store the minimum and maximum values.

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Answer: 12 2/15

Step-by-step explanation:

4 3/5 = 23/5

7 8/15 = 113/15

So, we have 23/5 + 113/15. The common factor is 15, so we have

69/15 + 113/15 = 182/15

182/15 = 12 2/15

Answer: false

Step-by-step explanation:

Open the Word document. then Go to the Insert tab on the ribbon and click on the Chart option under the Illustrations group.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

How do you insert a 4 quadrant graph in Word?

Open the Word document.

Go to the Insert tab on the ribbon and click on the Chart option under the Illustrations group.

An Insert Charts dialog box will appear on the screen.

Select the XY (Scatter) option from the left pane

and pick a line graph that you want to insert.

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