PLEASE HELP!!

Use the Triangle Inequality Theorem to determine which set of numbers CANNOT form the side lengths of a triangle.

A. 7, 9, 20
B. 6, 14, 17
C. 8, 24, 30
D. 2, 2, 3
E. 12, 22, 32

Answer:

1) The image of the line has the same slope as the pre-image but a different y-intercept.

hope this helps ;)

11) The pre-image, R at the point (-2, 3) on the grid shown produces an image following the reflection across the line y = 2·x - 3 as follows;

I. The line \(\overline{RR'}\) which is obtained from the image R' following a reflection across the line y = 2·x - 3, is perpendicular to the line y = 2·x - 3, because the points R and R' are vertically opposite each other, therefore, the slope is the negative inverse of the slope of y = 2·x - 3, which is -0.5

II. Please find attached the graph made using MS Excel showing the points R and R'

A reflection transformation is one in which a point is reflected across a line such that the distances of the image and the pre-image from the line are the same and the line acts like a mirror producing an image of the object.

The coordinates of point R = (-2, 3)

The equation of the line of reflection is; y = 2·x - 3

The coordinates of the image of a point, (x₁, y₁) reflected across a line, a·x + b·y + c = 0, is found as follows;

The image of is found using the formula;

\(\dfrac{x - x_1}{a} =\dfrac{y-y_1}{b} = -\dfrac{2\cdot (a\cdot x_1+b\cdot y_1+c)}{a^2+b^2}\)

The equation, y = 2·x - 3, can be expressed in the form a·x + b·y + c = 0, as follows;

y = 2·x - 3

0 = 2·x - 3 - y

Therefore;

a = 2, b = -1, and c = -3

(x₁, y₁) = (-2, 3)

\(\dfrac{x - (-2)}{2} = -\dfrac{2\times (2\times (-2)- 3-3)}{2^2+(-1)^2}=4\)

\(\dfrac{x +2}{2} = 4\)
x = 2× 4 - 2 = 6

x = 6

\(\dfrac{y-3}{-1} = 4\)

y = 4 ×(-1) + 3 = -1

The coordinates of the image, (x, y) = (6, -1)

The slope of the line is -(1/2)

The equation of the perpendicular line is therefore;

(y - 3) = -0.5·(x - (-2)) = -0.5·x - 1

y = -0.5·x - 1 + 3 =  -0.5·x + 2

Equation of the perpendicular line through R; y = -0.5·x + 2

The intersection point is therefore;

-0.5·x + 2 = 2·x - 3

2.5·x = 5

x = 5 ÷ 2.5 = 2

y = 2×2 - 3 = 1

y = 1

The point is therefore, (2, 1)

The difference in the x-values = 2 - 2 = 4

The difference in the y-value = 1 - 3 = -2

Therefore, 4 is added to the x-value of the point (2, 1) and 2 is subtracted to get the image as follows;

(x, y) = (2 + 4, 1 - 2) = (6, -1)

The slope of \(\overline{RR'}\) = (3 - (-1))/(-2 - 6) = -0.5

b. Graphically, the equation of the line \(\overline{RR'}\) can be used to find the point R', by adding the horizontal distance and subtracting the vertical distance of the point R from the the point of intersection of the two lines.

Please find attached the graph showing R and the image R' created with MS Excel.

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9514 1404 393

Answer:

  graph attached

Step-by-step explanation:

The attachment is a graph that shows Beyonce is correct.

__

By solving the system the two ways that she has, Beyonce has already shown her solution is correct by substitution. After finding the value of one variable, she substituted that into the system of equations to find the other variable. She did this for each of the variables.

c × c = c²

c × -5 = -5c

8 × c = 8c

8 × -5 = -40

arrange

c² -5c +8c -40

c² +3c -40

answer is B

Answer:

c^2 + 3c - 40

Step-by-step explanation:

seriously dude all you have to do is use an online calculator or something

Number of ways to roll 5 distinct dice and get 3 of a kind is 7200

To find the number of ways to roll 5 distinct dice and get 3 of a kind:

Choose which number appears three times. There are 6 possible choices.

Choose which three dice will show the chosen number. There are 5 ways to choose the first die, 4 ways to choose the second die, and 3 ways to choose the third die, for a total combinations 5 x 4 x 3 = 60 ways.

Choose the numbers that the remaining two dice will show. There are 5 choices for the first die and 4 choices for the second die, but the order in which we choose them doesn't matter, so we need to divide by 2 to correct for overcounting. This gives us (5 x 4) / 2 = 10 ways.

Choose which of the two remaining dice will show the first chosen number. There are 2 choices.

Multiply all of the choices together: 6 x 60 x 10 x 2 = 7,200.

Therefore,  there are 7,200 ways to roll 5 distinct dice and get 3 of a kind.

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Step-by-step explanation:

solve for y

x-4y =24

-4y = 24-x

 y = x/4 - 6    slope = 1/4, the coefficient of the x term

a perpendicular line has the negative inverse,  change the sign and flip the fraction upside down to get -4/1 or -4

y=-4x + b.  plug in the point x=-2, y=7 to calculate b the y intercept

7=-4(-2) + b

b = 7-8 =-1

y=-4x -1 is the perpendicular line through (-2,7)

general equation in slope intercept form is y=mx +b.  m=-4,  b=-1

Answer:

Top box is 2

Middle box is 10

Bottom box is 18

Step-by-step explanation:

\(\frac{6}{9}\) = \(\frac{x}{3}\)

9 ÷ 3 = 3

6 ÷ 3 = 2

x = 2

\(\frac{6}{9}\) = \(\frac{x}{15}\)

9 x \(\frac{15}{9}\) = 15

6 x \(\frac{15}{9}\)  = 10

x = 10

\(\frac{6}{9}\) = \(\frac{12}{x}\)

6 x 2 = 12

9 x 2 = 18

x = 18

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

Answer:

24?

Step-by-step explanation:

If you add 20, 22, and 24, you get 66. I dont know if this helped.

Answer:

six units rights

Step-by-step explanation:

I don't have one but I know because I've had kt

Answer:

I think the third one should be true. But you can go with what you have.

Step-by-step explanation:

Answer:

All are rational numbers I guess

Step-by-step explanation:

NoTE : I'm not sure

Answer:

For the first one its 7/9 ig

The correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.

To prove that angle 1 is equal to angle 3, we can use the Angle Congruence Postulate.

This postulate states that if two angles have the same measure, then they are congruent.

In this case, angle 1 and angle 3 are vertical angles.

Vertical angles are formed by two intersecting lines and are opposite each other.

Since they are opposite angles, they have the same measure.

Therefore, we can conclude that angle 1 is congruent to angle 3 based on the Angle Congruence Postulate.

In summary, the correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.

Using the Angle Congruence Postulate, we can show that angle 1 and angle 3 have the same measure.

This is because they are vertical angles, which are opposite angles formed when two lines intersect.

Vertical angles are congruent, meaning they have equal measures.

Please note that there may be other ways to prove that angle 1 is equal to angle 3, but in this case, the Angle Congruence Postulate is the most appropriate choice.

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Answer:

50.88

Step-by-step explanation:

The Answer is

50.88

Hope this helps!

There are 90 different outfits he can wear if he has to wear slacks and a shirt along with his 3 sport coats and 1 tie.

Here, we can use the multiplication principle of counting to determine the number of possible outfits a man can wear given that he must wear at least one pair of slacks and one shirt. Let us denote sport coats as A, B, and C; slacks as P1, P2, P3, P4, and P5; shirts as S1, S2, S3, S4, S5, and S6; and the tie as T.

Then, the number of outfits he can wear is given by the product of the number of choices for each item as follows: Total outfits = (Number of sport coats) × (Number of slacks) × (Number of shirts) × (Number of ties)= 3 × 5 × 6 × 1= 90. Differentiating between the cases where he wears only one shirt and one pair of slacks from those where he wears two or more of each is unnecessary because the problem statement requires that he wears at least one of each.

Therefore, we can calculate the total number of outfits directly using the multiplication principle of counting, which gives us the answer of 90 different outfits he can wear if he has to wear slacks and a shirt along with his 3 sport coats and 1 tie.

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Answer:

D.

Step-by-step explanation:

205.296/3.12 = 65.8

Answer:

:D

Step-by-step explanation:

Data mining methods grew out of three fields: statistics, machine learning, and artificial intelligence. We partition data into training and validation data sets randomly to ensure that the resulting models are unbiased and generalize well to new data.

If we were to partition the data in some other manner, we may introduce bias into the model and not have a true representation of its performance.

The essential steps for building a data mining model in the correct order are:

1. Data preparation: Collect and prepare the data for analysis, including cleaning, transforming, and selecting relevant variables.
2. Model selection: Choose the appropriate data mining technique and model to analyze the data.
3. Model building: Develop the model using the selected technique and algorithm.
4. Model evaluation: Test the model's performance on a validation data set and refine as necessary.
5. Deployment: Implement the model in a production environment for real-world use.

Other terms used for:
(a) Input variable: Predictor variable, independent variable, feature
(b) Target variable: Response variable, dependent variable, outcome variable
(c) Attribute: Feature, variable, column
(d) Row: Instance, observation, record

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The equation of the line passing through these points i.e (7,3 ) and (14,6) is

y = (3/7) x or 3x - 7y = 0 ,

Which is linear equation of two variables.

A linear equation is an algebraic equation of the form y = mx + b , with only one constant and one first-order (linear) term, m is the slope and b is the y-intercept.

We have given that,

the ratio of y and x is y : x = 3 : 7

So the ratio of x and y can be expressed as ,

x : y = 7 : 3 ( reverse order)

So let's consider two points as

(x₁, y₁)=(7 , 3) and (x₂, y₂) = (14 , 6)

The equation of the line passing through these points will be,

( y - y₁ )/ (y₂ - y₁) = (x - x₁)/(x₂ - x₁)

=> (y - 3)/(6-3) = (x - 7)/(14 - 7)

=> (y - 3)/3 = (x - 7)/7

=> 7(y - 3) = 3( x - 7)

=> 7y - 21 = 3x - 21

=> 7y = 3x

=> y = (3/7) x

Hence, y = (3/7) x is required equation of line.

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Answer:

what the hecker is that.

okay so your simplifying it, 12? i think.

Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

3 x − y = − 13

Step-by-step explanation:

Any equation that relates the first power of x to the first power of y produces a straight line on an x-y graph. The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept. Converting from slope intercept form to standard form takes little more than basic arithmetic.

TLDR:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

Answer:

3x - y = -13

Step-by-step explanation:

y = mx + b

(This is the slope intercept form)

We want to change it to standard form, which is:

Ax + By = C

We want to rearrange as many of the numbers as we can, without actually changing the problem!

Ax = 3x

By = y

C = 13

So we must move the numbers from one side to another.

Whatever you do to one side, you do to the other.

y = 3x + 13

-3x + y = -3x - y

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

-3x + y = 13

Since we can't have our "Ax" as a negative multiply everything by -1

-1[-3x + y = 13]

3x - y = -13

That is your answer.

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Answer:could be 10

Step-by-step explanation:

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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Answer:

Below

Step-by-step explanation:

-|6-12|    =  -|-6|  = - 6

Answer:

A. Total area of the plot is 0.391 square yard.

B. Perimeter of the fence is 10 yards.

Step-by-step explanation:

The plot has a square shape, and of length 5/8 yd on each side.

A. total area of the basil plot = Area of a square

                                           = length x length

                                           = \(\frac{5}{8}\) x \(\frac{5}{8}\)

                                           = \(\frac{25}{64}\) square yard

Total area of the basil plot = 0.391 square yard

B. The length of each side of the fence = 2 + 2 + \(\frac{5}{8}\)

                                                = 4\(\frac{5}{8}\) yards

                                               = 2.5 yards

Perimeter of the fence = 4\(\frac{5}{8}\) + 4\(\frac{5}{8}\) + 4\(\frac{5}{8}\) + 4\(\frac{5}{8}\)

                                      = 2.5 x 4

                                      = 10 yards

The perimeter of the fence is 10 yards.

Answer:

An impossible event has a probability of 0. A certain event has a probability of 1.

Answer:

x = 33.2

Step-by-step explanation:

Use Sine

Sine 56 = x / 40

Sine of 56 is 0.829

0.829 = x / 40

Multiply 40 on both sides

33.16 = x

Round to the nearest tenth

33.2

Trigonometry -

\( \frac{x}{40} = \frac{ \sin(56) }{1} \)

Cross multiply!

\(40 \sin(56) = x\)

Use your calculator to determine x.

Answer: X is approximately 33.2