The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are the coordinates of B?

The quadratic expression when ( x - 2) ( x - 7 ) is multiplied is x² - 9x + 14.

A polynomial of degree two or a quadratic polynomial that has two as the highest exponent of the variable. A quadratic polynomial will typically have the following form: p(x): ax² + bx + c, a ≠ 0.

A coefficient is a multiplicative factor in a polynomial term, a series term, or an expression; it often has the form of a number but can also take the form of any expression.

When an expression ( x - r )( x - s ) is multiplied, where r and s are integers, we obtain a quadratic polynomial.

Therefore, when ( x - 2 )( x - 7 ) is multiplied we get:

( x - 2 )( x - 7 ) = x( x - 7 ) - 2( x - 7 )

( x - 2 )( x - 7 ) = x² - 7x - 2x + 14

( x - 2 )( x  - 7 ) = x² - 9x + 14

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The properties of equality used in the equation are subtraction properties and multiplication properties of equality

The complete question is added at the end of the solution

From the complete question, the equation is given as:

(1/3d + 4 = 28)

Start by removing the bracket in the given equation

So, we have

1/3d + 4 = 28

Next, we continue by applying the subtraction properties of equality

This means that we subtract 4 from both sides of the equation.

So, we have:

1/3d + 4 - 4= 28 - 4

Evaluate the difference in the above equation

So, we have

1/3d = 24

Next, we continue by applying the product properties of equality

This means that we multiply both sides of the equation by 3

So, we have:

3 * 1/3d = 24 * 3

Evaluate the products in the above equation

So, we have

d = 72

By looking at the computations above, we can see that we apply the following properties:

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Possible question

Which properties of equality are used in the example shown on the left?

(1/3d + 4 = 28)

Answer:

one tenth of 100.5 is 10.05 so 10.05$

Step-by-step explanation:

First take 100.5 multiply by one tenth=10.05$ or ten dollars and 5 cents

Answer:

(-15,-3) and (-9,-1)

Step-by-step explanation:

the x and y coordinates were given so we can plug them into the equation individually

first one y=-3

x-3(-3)=-6

x+9=-6

x=-15

second one

x=-9

-9-3y=-6

+9      +9

-3y=3

y=-1

Check the picture below.

so now, in what year will it reach a value of 0.00 or namely, what is "t" when y = 0?

[tex]y = 26000- 3700t\implies \stackrel{y}{0}= 26000- 3700t\implies 3700t=26000 \\\\\\ t=\cfrac{26000}{3700}\implies\stackrel{\textit{about 7 years and 10 days}}{ t\approx 7.027}\hspace{5em}t\approx 7[/tex]

After doing some mathematical operations, we can conclude that the reading rate in words per minute is 260.71 words per minute.

So, the reading rate per minute:

Then reading rate per minute will be:

Therefore, after doing some mathematical operations, we can conclude that the reading rate in words per minute is 260.71 words per minute.

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The duration of shoot would be 2 hours and Either stylist would cost $282 if the shoot lasted 2 hours.

A fashion photographer needs to hire a stylist to prepare his models.

Let the number of hours stylist take = x

Jayla charges $156 for showing up, plus $63 per hour. So, this can be mathematically written as ,

156 + 63x                                                  equation 1

Sally charges $158 plus $62 per hour.  So, this can be mathematically written as ,

158 + 62x                                                  equation 2

As per the question, the expected duration of his photo shoot, either stylist would cost him the same amount. So we can equate equation 1 and equation 2. On equating equation 1 and equation 2 , we will get

156 + 63x  = 158 + 62x

⇒  x = 2

So, the duration would be 2 hours.

Jayla cost = Sally cost = 156 + 63x  = 156 + (63 × 2) = 282

Either stylist would cost $282 if the shoot lasted 2 hours.

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Answer: 20 children’s tickets and 47 adult’s tickets

20 children's tickets were sold and 47 adult tickets were sold.

People bought tickets at the theater and $704 was collected.

charge - $7 for children and $12 for adults.

let, x number of children and y number of an adult take admission,

then, according to question ->

7*x+12*y=704; said eq. 1

and, given 67 people bought tickets at the theater.

x + y=67; said eq. 2

now, on solving these equations,

we get,

multiply eq.2 by 7 then subtract with eq. 1

then we get, y=47 then put the value of y in eq. 2 we get x=20;

so,

20 children's tickets were sold and 47 adult tickets were sold.

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The number of drama members who are seventh graders is 14.

This is a question of percentages.

Percentage

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given that:-

Total number of members in the drama club = 40

Percentage of members in the drama club of seventh grade = 35 %

We have to find the number of drama members who are seventh graders.

Number of drama members who are seventh graders = (35/100)*40 = 14

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The density of the piece of form will be 0.14 g/cm³.

Density is defined as the ratio of the mass of the object to the volume of the object. It does not depend upon the whole mass it only depends upon the mass per unit volume.

Volume is defined as the space occupied by the object in the three-dimensional space.

Given that a piece of foam padding has a volume of 1,500 cm³ and a mass of 200 g.

The density of the foam will be calculated as,

D = mass / Volume

D = 200 / 1500

D = 0.1333333333 or 0.14 g/cm³

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The graph of the given points form the rectangle is attached below.

Graph:

The graph is defined as the pictorial representation or a diagram that represents data or values in an organized manner.

Given,

The points are (2, 1),(2, 5), (7, 1), and (7, 5).

Here we need to plot the graph and we have to identify whether it will form the rectangle.

First, we have to do the following in order to solve it,

Therefore, the resulting graph is attached below.

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Answer:

15

Step-by-step explanation:

Divide it into triangles, then solve for area.

The value of x in this geometric sequence is equal to √2.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

For this exercise, we would formulate an equation from the common ratio of this geometric sequence as follows:

r = a₂/a₁ = a₃/a₁

Substituting the given parameters into the common ratio formula, we have;

1/√X + 1 = √x - 1/1

Next, we would take the square of both sides, we have:

1/x + 1 = x - 1/1

Cross-multiplying, we have:

(x + 1)(x - 1) = 1

x² - x + x - 1 = 1

x² - 1 = 1

Adding 1 to both sides, we have:

x² - 1 + 1 = 1 + 1

x² = 1 + 1

x² = 2

x = √2

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Answer:

I believe the answer is 2^3x3^2

Answer:

I need alot of letter in order tot ype an anwser but long story sort its ten percent

The statement that proves the congruency of the two triangles is (c) ASA

The given parameter is the two triangles in the figure

For the angles or the sides of the triangles to be congruent, the sides or the angles must be marked with the same identifier

Using the above as a guide,

Two corresponding angles in the triangles are marked with the same symbol

This is represented as AA i.e. Angle-Angle

Also, the triangles share a common side length

This is represented with S i.e. Side

This common side length is between the angles

So, we have

ASA i.e. Angle Side Angle

Hence, the congruency of the two triangles is by the ASA congruent theorem

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Answer:

0

Step-by-step explanation:

6x-6x+3>>7-4x-8

3>-4x-1

4x>-1-3

4x>-4

x>-1

therefore minimum value is 0

Answer: $2500

Step-by-step explanation:

Let the amount she sells in dollars be x. Then,

[tex]450+0.06x \geq 600\\\\0.06x \geq 150\\\\x \geq 2500[/tex]

The author shows that computer programs make it faster to make changes to blur prints.

A computer program is a set of instructions written in a programming language that a computer is supposed to obey.

Hence it is clear that the author shows that computer programs make it much faster to make changes to blue prints.

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n = - 3

How is the given equation  [tex]5^{n} =\frac{1}{125}[/tex]   solved to find n ?

Converting the fraction to negative exponential form,

[tex]5^{n} ={125}^{-1} \\\\5^{n} ={(5^{3})}^{-1} \\\\\text{We know } (a^{n} )^{m} =a^{nm} \\\\\text{Applying this exponent power rule in the above expression},\\\\5^{n} = 5^{-3} \\\\\text{As the corresponding exponents are equal}\\\\n= -3[/tex]

What are laws of exponents?

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The area of the composite figure is 58. 71 square units.

It is important to note that the area of the composite figure is given as;

Area of a rectangle + area of a semi circle

The formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, let's substitute the values, we have;

Area = 6 × 9

Area = 54 square units

The formula for area of a semicircle is expressed as;

Area = πr²/2

Where;

Given diameter = 6, radius = 6/2 = 3

Substitute the value

Area = 3. 14(3)/2

Area = 4. 71 square units

But area of the composite figure = 54 + 4. 71 = 58. 71 square units.

Hence, the area is 58. 71 square units.

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0.030 is the probability that three students chosen at random all study History.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty. Mathematics' discipline of probability investigates potential outcomes of events as well as their relative likelihoods and distributions.

Given Data

12 students who study Geography(G),

11 students who study History(H)

10 students who study Economics(E)

Probability that three students chosen at random all study History

[tex]\frac{11}{3}[/tex] ÷ [tex]\frac{33}{3}[/tex]

[tex]\frac{11}{3}[/tex] ×[tex]\frac{3}{33}[/tex]

0.030

0.030 is the probability that three students chosen at random all study History.

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Answer:

n < - 1

Step-by-step explanation:

- 2(n - 4.5) > 11 ← distribute parenthesis on left side

- 2n + 9 > 11 ( subtract 9 from both sides )

- 2n > 2

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

n < - 1

Answer:

n < -1

Step-by-step explanation:

-2(n -4.5) > 11 (multiply the contents within the bracket by -2.)

-2n + 9 > 11 (- × - = +)

-2n > 11 - 9 [ like terms have to be with each other (transposing); and when u transpose a number it changes signs.]

-2n > 2 (divide both sides by negative 2)

n < -1 (sign changes as a reslut of the negative division)

The integers in the solution set of 3p − 10 ≥ 7p + 6 are -4 and -5

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The set is given as

S: {−2, −3, −4, −5}

The inequality expression is given as

3p − 10 ≥ 7p + 6

We start by evaluating the inequality expression

So, we have

3p − 10 ≥ 7p + 6

Subtract 7p from both sides of the inequality expression

So, we have

-4p − 10 ≥ 6

Add 10 to both sides of the inequality expression

So, we have

-4p ≥ 16

Divide both sides of the inequality expression hy -4

So, we have

p ≤ -4

This means that the integers in the solution set are integers that do not exceed -4

These integers are -4 and -5

Hence, the solution is -4 and -5

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Answer/Step-by-step explanation:

It's a little blurry so I'll try my best

1. -4 + 5 = 1

2. -31 - 25 = -56

3. 7 + (-10) = -3

4. -13 + (-9) = -22

5. 10 - 17 = -7

6. 15 + 35 = 50

7. -9 + 6 = -3

8. -11 - (-15) = 4

9. 7 - (-5) = 12

10. 3 + (-19) = -16

11. -15 + 20 = 5

12. 11 + (-11) = 0

13. 16 - 21 = -5

14. -23 - 11 = - 34

15. -12 + (-13) = -25

16. -12 + 28 = 16

17. 52 - (-10) = 62

18. 4 - 35 = 31

HIS HAMSTER TOOK IT TO HIS CAGE AND DID JORGE'S HOMEWORK

I hope this helps!

Answer:

no solution

Step-by-step explanation:

Based on the line and the points that it goes through, the equation with the same proportional relationship as the graph is y = three-fifths x.

To find the relationship of the points on the line in the coordinate plane, you need to find the slope of the line. The slope can be found by the formula:

= Change in y / Change in x

Solving for the slope gives:

= (3 - 0) / (5 - 0)

= 3 / 5

For equations to be proportional, they need to have the same slope. With the slope of the line being 3/5, the equation that would have the same proportional relationship is:

y = 3/5x

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In linear equation, oil required to cover oil all the pieces in one box of big pasta with same thin layer of oil = 1/2 of the oil.

What are a definition and an example of a linear equation?

Let the dimensions of one piece of your favorite kind of pasta  be l, b, h.

Volume of one piece of pasta = l b h

Surface area of one piece of pasta = 2( lb + bh + lh)

Let the no of pasta piece in the box ( favorite  one ) be 'n' = .

Total volume = n × lbh

Total  Surface area = n . 2( lb + bh + lh)

In the bigger size pasta box dimensions of one piece of  of pasta 2l , 2h , 2b .

∴ Volume of one piece of pasta = 2l × 2b  × 2h   = 8lbh

Surface area of one piece of pasta = 2( 4lb × 4bh × 4lh)

                                                         = 2 × 4 ( lb × bh × lh )

Let the no of pasta pieces in the bigger pasta box in m.

Total volume of pasta = m × 8lbh

total surface area = m . 4 × 2 ( lb × bh × lh )

the total volume of pasta is also same in the box.

  mass =  density ×  volume

D × m .8 lbh  =  D × n . lbh

  m = n/8

total surface  area of  pastas in bigger pasta box = m × 4 × 2 ( lb × bh × lh)

                                                                           = n/8 × 4 × 2  ( lb × bh × lh )

                                                              =      n/8 × 1/2 × n× 2  ( lb × bh × lh )

                                                      = 1/2 × surface area (total) of small pasta

∴ oil required to cover oil all the pieces in one box of big pasta with same thin layer of oil = 1/2 of the oil

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Answer: x = 2 - 1/2 y

Step-by-step explanation:

12x + 6y = 24

12x = 24 - 6y

x = 2 - 1/2 y

The given value 4.09 in digits can be written in words as four and nine hundredths.

The system of written number digits in words can be described as the system that enable the numbers to be breakdown in words for simplicity.

This can starts from the lowest which is the units as well as the tens , and also hundreds and thousands, however from the  given value 4.09 we can see that if we convert to the word system of naming numbers we can come into conclusion that it is  four hundred nine hundredths.

Therefore, option B is correct.

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Answer:

D

Step-by-step explanation: