Find The Slope of the Line?

Answer:

Adjective

Those are describing words

A possible figure that has the same perimeter as the given triangle is a rectangle with side lengths, x + 1, x + 1, 2•x + 1, 2•x + 1

The perimeter of a two dimensional geometric figure is its total boundary length.

The perimeter is given by the addition of the lengths of all the sides of the figure.

The perimeter, P, of the given triangle is therefore;

P = x + 3 + 2•x + 1 + 3•x = 6•x + 3

The perimeter, P = 6•x + 3

A different figure, drawn, that has the same perimeter as the given triangle (6•x + 3) is a rectangle that has side lengths of x + 1, 2•x + 1, x + 1, and 2•x + 1.

Please find attached the drawing of a rectangle that has a perimeter of 6•x + 3, which is the same as the perimeter of the triangle.

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The number of heavy equipment operators employed is 26 while number of laborers employed is 6

Let x be the number of heavy equipment operators employed

Thus, If thirty-two people were hired, then we can say that;

32 - x represents the number of laborers employed

Thus, the equation to solve for x would be;

136x + 80(32 - x) = 3960

136x + 2560 - 80x = 3960

216x + 2560 = 3960

216x = 3960 - 2560

216x = 1400

x = 1400/216

x ≅ 6

Thus;

32 - x = 32 - 6 = 26

Thus, we conclude that number of heavy equipment operators employed is 26 while number of laborers employed = 6

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Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

[tex]-9^4 = -9 \times -9 \times -9 \times -9 = -6561[/tex]

The graph of f(x) = 2x^2 - 4x + 5 is a minimum

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

f(x) = 2x^2 - 4x + 5

The above equation is a quadratic equation.

A quadratic equation is represented as:

f(x) = ax^2 + bx + c

By comparison, we have

a = 2

b =-4

c = 5

If the value of a is positive, the graph is a maximum.

Since the value of a is 2, then it means that the graph is a minimum

Hence, the graph of f(x) = 2x^2 - 4x + 5 is a minimum

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Answer:

8.6

Step-by-step explanation:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]

Define the points:

Substitute the defined points into the formula:

[tex]\implies d=\sqrt{(7-0)^2+(5-0)^2}[/tex]

[tex]\implies d=\sqrt{7^2+5^2}[/tex]

[tex]\implies d=\sqrt{49+25}[/tex]

[tex]\implies d=\sqrt{74}[/tex]

[tex]\implies d=8.6\;\;\sf (nearest\: tenth)[/tex]

Therefore, the length of one of the diagonals of the rectangle is 8.6.

The 61% of 407 estimates 248. 27

Percentage can be defined as the ratio of a number to 100

Example;

The percentage of 55 is expressed as;

= 55/ 100

From the information given, we have to determine 61% of 407

This is expressed as;

= 61/ 100 × 407

= 0. 61 × 407

= 248. 27

Thus, the 61% of 407 estimates 248. 27

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Answer: 225 yd³

Step-by-step explanation:

6*4*3=72

3*17*3=153

153+72=225 yd³

Answer:

B

Step-by-step explanation:

h(x) is a discrete function, so its domain and range only contain individual points.

h(x) contains the points (-5, -2), (-4, 2), (0, 6), (2, -4), and (4, 4)

Look at the y-coordinates: -2, 2, 6, -4, 4

Arrange them in order: -4, -2, 2, 4, 6 ==> B

Answer:

Solving Math equations helps work on the left side of your brain which is in charge of receiving information. Whether you’re performing a logical or creative function, you’re receiving input from both sides of your brain. For example, the left brain is credited with language, but the right brain helps you understand context and tone. The left brain handles mathematical equations, but the right side of the brain helps out with comparisons and rough estimates.

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Answer:4

Step-by-step explanation:

7+4=11

15-4=11

Answer: $563.2

Step-by-step explanation:

h=hours. T=total money earned in a week. o=overtime pay

o=12.8/2

o=6.4

T=12.8(40)+6.4(h-40)

T=512+6.4h-256

T=512-256+6.4h

T=6.4h+256

T=6.4(48)+256

T=307.2+256

T=$563.2

Answer:

It is C.

Step-by-step explanation:

Since 10 is to the power of negative five the number would be smaller than it was originally.

Answer:

I don't know I think it's b

Answer:

12

Step-by-step explanation:

Step1:- substitute the values of a and b in the equation

6(4)-4(3)

Step2:- solve the expression

6(4)=6×4=24

4(3)=4×3=12

so 6(4)-4(3)=24-12= 12

Answer:

The number would be 0.28.

here, in tenths position is 2 and in hundredths position is 8.

so, 8 = 4 x 2

and 8 + 2 = 10.

According to the solving the relationship between d and r are:

d = 2.5*r

r = d/2.5

The relation in mathematics refers to the relationship between two or more types of values. Assume that x1 and x2 are two ordered pair sets. If set x is related to set y, the values of set x are referred to as domain, whereas the numbers of set y are referred to as range.

A base relation is simply a physical table that is maintained in a database. In contrast, a view is formed from base relations but it doesn't physically exist in the database; it only exists as either a structural definition that pulls data from a number of different base relations.

Given : 5 daises to 2 roses

d ∝ r

where d=daises and r=roses

d = kr

k = d/r

k = 5/2

k = 5.2

So,

d = 2.5 x r...............equation(1).
making r subject in eq (1)

r = d/2.5 ........................equation(2)

According to the solving the relationship between d and r are:

d = 2.5*r

r = d/2.5.

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The old/Original value of the book before 30% increase in price  is $70

Let us assume the old price of book before30% increase be x

Then the new price of the book after 30% increase would be x+ 30% of x

Which can be simplified as x+ 0.30x

Which further can be simplified 1.30x

As we are provided with the new price of book, we have to equate the above linear equation with the new price of the book

1.30x = $91

To solve the equation we need to move 1.30 from left hand side to right hand side which would change from  to

X= 91/1.30

X=$70

Hence the old value of the book before 30% increase in price   is $70

Correct question is if  30% increase in price of a book and the new price of a book is $91.00. What was the original price of the book?

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Answer:

18

Step-by-step explanation:

bc it is asking for the absolute value

The volumes of the cylinder and cone are calculated using a radius r to give;

The radius of cylinder = r

Height of the cylinder = 2•r

Radius of cone = r

Height of the cone = 2•r

Volume of the cylinder, Vc = π•r²•(2•r) = 2•π•r³

Volume of the cone, Vco == (1/3)•π•r²•(2•r)

Which gives; Vco == (2/3)•π•r³

The combined volume is therefore;

V = Vc + Vco = 2•π•r³ + (2/3)•π•r³ = (8/3)•π•r³

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Answer:

0 = 3 or No Solution

Step-by-step explanation:

a) Simplify both sides of the equation

−2(y + 1) + 5y = 3(y + 1) − 2

(−2)(y) + (−2)(1) + 5y = (3)(y) + (3)(1) + −2

−2y + −2 + 5y = 3y + 3 + −2

(−2y + 5y) + (−2) = (3y) + (3 + −2)

3y + −2 = 3y + 1

3y −2 = 3y + 1

b) Subtract 3y from both sides

3y − 2 − 3y = 3y + 1 − 3y

−2 = 1

c) Add 2 to both sides

−2 + 2 = 1 + 2

0 = 3 or No Solution

Answer: 54

Step-by-step explanation:

52 + 2 = 54

The responses to the questions involving the solution and equations of a straight line are;

6. The slope is -0.5

7. The equation is; y = x + 4

8. y = 7 - 0.25•x

9. The balance after m months is modeled by the equation;

B = 1,800 - 150•m

10. The slope is the monthly payment on the loan

6. The points on the graph in question 6 are; (0, 4), and (4, 2)

The slope is given by the ratio of the rise to the run of the graph as follows;

[tex]Slope = \frac{2 - 4}{0 - 4} = - 0.5[/tex]

7. The equation in slope and intercept form is found as follows;

The given points are;

(-1, 3), and (-3, 1)

The slope and intercept form is presented as follows;

y = m•x + c

The point and slope form is presented as follows;

y - y1 = m•(x - x1)

Where m is the slope of the graph

m = (1 - 3)/(-3 - (-1)) = -2/-2 = 1

Which gives;

y - 3 = 1 × (x - (-1)) = x + 1

y = x + 1 + 3 = x + 4

The equation of the graph in slope and intercept form is; y = x + 4

8. The points are; (-4, 8), (4, 6)

Which gives;

m = (6 - 8)/(4 - (-4)) = -2/8 = -0.25

Therefore;

y - 8 = -0.25•(x - (-4)) = -0.25•x - 1

y = -0.25•x - 1 + 8 = -0.25•x + 7

9. The amount Zachary purchased the computer on loan = $1,800

The balance after 3 months = $1,350

The balance after 5 months = $1,050

Therefore;

The points on the graph of the equation that models the balance are therefore;

(0, 1,800), (3, 1,350), (5, 1,050)

Which gives;

B - 1800 = ((1,350-1,800)/(3-0))•(m - 0)

B - 1800 = -150•m

The equation that models the balance, B, after m months is therefore;

10. The slope, ((1,350-1,800)/(3-0)) = -150, signifies the amount by which the balance reduces each month, which is the same as the amount Zachary pays each month, (the monthly payment).

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Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.

Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.

The amount to be amortized is therefore:

= 7,500 - 5,000

= $2,500

The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.

The amortization amount is:

= (2,500 x 8 months) / ( 15 x 12 months a year)

= $111

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Answer:

24

Step-by-step explanation:

Each no. of toffee is multiplied by 6 to get the no. of children to have a toffee.

Hello, :)

Points are (-3,0) , (-2,2), (0,1) and (1,2)

f(0)=1

Encontrando un factor comun entre los 3 números dados, concluimos que cada pedazo de tronco debe medir 3 metros, y se obtendran 10 pedazos en total.

Sabemos que los troncos miden 15, 9, y 6 metros, si los queremos cortar en pedazos de igual longitud, de tal forma que nada se desperdicie, entonces debemos encontrar un factor comun entre esos 3 numeros.

Los podemos reescribir como:

15 = 3*5

9 = 3*3

6 = 2*3

Entonces el unico factor comun entre las 3 longitudes es 3.

El tronco de 15 metros dará:

15/3 = 5 pedazos de tronco.

El tronco de 9 metros dará:

9/3 = 3 pedazos de tronco.

El tronco de 6 metros dará:

6/3 = 2 pedazos de tronco.

Sumando eso obtenemos 5 + 3 + 2 = 10 pedazos en total.

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A.-12

-16 * 3/4

-48/4

-12

Answer:

44

Step-by-step explanation:

vertical angles