Which of the following is equivalent to the expression below?

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

[tex]Slope, \, m =\dfrac{c - c}{a + b-b} = 0[/tex]

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

[tex]Slope, \, m =\dfrac{0 - 0}{2a-0} = 0[/tex]

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

Answer:

slope of DE = 0

slope Bc = 0

slopes are =

Step-by-step explanation:

Answer:

It should equal zero or seven. I think is zero

Answer:

$(8+14)

Step-by-step explanation:

Amount of money Warren has at first=$8+$14=$22

Answer:

653.12 ft²

Step-by-step explanation:

2πrh + 2πr²

2(3.14)(8)(5) + 2(3.14)(8)²

251.2 + ²401.92 = 653.12

Step-by-step explanation:

Here,

radius of a cylinder (r)= 8 ft.

height (h)= 5 ft.

now,

area of a cylinder (a)= 2.pi.r(r+h)

now, putting the values we get,

a = 2×3.14×8(8+5)

after simplification we get,

Area of cylinder is 653.12 sq.ft.

Hope it helps....

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

Answer:

We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

Step-by-step explanation:

plz mark as brainlist

The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.

Depending on the type of relation between the variables, the correlation is categorized into three major types. They are

i) Positively correlation

ii) Negative correlation

iii) No correlation

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Answer:

Let the distance from home to the park be x

Going to the park

Distance=vt

x=14t¹ ——(1)

Going back home

x=10t² ——(2)

Total time=t¹+t²

2.5=t¹+t²

Solving equ. 1 and 2 simultaneously

10x=140t¹

14x=140t²

Adding

4x=140(t¹+t²)

24x=140(2.5)

x=14.58 miles

Total distance= 2x

= 29.16miles

Step-by-step explanation:

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

Answer:

I think 10 is the correct answer.

Answer:

Choice D.

Step-by-step explanation:

Hello! Me again, this is my explanation to my solution,

A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.

Hope this helped! Let me know if you have further questions! :)

Answer:

√106

Step-by-step explanation:

to calculate the distance between two points on an xoy plane you use the formula

√(x2-x1)²+(y2-y1)²

in this case x1 is -5,x2 is 4,y1 is -3 and y2 is -2 therefore the solution will be

√(4-(-5)²+(-2-3)²

√(4+5)²+(-5)²

√(9)²+(-5)²

√81+25

√106

I hope this helps

Answer:

Does the answer help you?

Answer:

Ok, when we have an equality, like:

A = B

That says that A is the same as B.

Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.

I suppose that we start with something like:

(4/3)*x = 2

(i will work with this, because you did not post the actual equations)

the thing that Carrie did is:

She multiplies both sides by 3, and get:

3*(4/3)*x = 2*3

4*x = 6

Now she divides bot sides by 4

4*x/4 = 6/4

x = 6/4 = 3/2.

Now, a simpler step is considerin (4/3) as a number A, then we have:

A*x = 2

Now we divide both sides by A.

A*x/A = 2/A

x = 2/A

and we have A = (4/3) then 1/A = (3/4)

x = 2*(3/4) = 3/2

Let a be first term

[tex]\\ \rm\longmapsto a_8=a+7d[/tex]

[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]

[tex]\\ \rm\longmapsto a=26-21[/tex]

[tex]\\ \rm\longmapsto a=5[/tex]

Now

[tex]\\ \rm\longmapsto a_4=a+3d[/tex]

[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]

[tex]\\ \rm\longmapsto a_4=5+9[/tex]

[tex]\\ \rm\longmapsto a_4=14[/tex]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

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Answer:

14 students

Step-by-step explanation:

We can set up a percentage proportion to find 2% of 700.

[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.

[tex]700\cdot2=1400\\\\1400\div100=14[/tex]

Hope this helped!

Answer:

14 students

Step-by-step explanation:

If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.

Answer:

<5 and <6 are supplementary angles

<1 and <6 are vertical angles

Answer:

A = 49/pi

Step-by-step explanation:

C = 2 * pi *r

14 = 2 * pi *r

Divide each side by 2 pi

14/2pi = r

7/pi = r

The area is given by

A = pi r^2

A = pi ( 7/ pi)^2

A  = pi * 49 / pi^2

A = 49/pi

Answer:

[tex]area = {15.61m}^{2} [/tex]

explanation is attached to the picture

Hope this helps you

The choose ( 0.25 )

Relative Frequency = Category Frequency / Total Frequencies

Category Frequency (prefer tennis) = 7

Total Frequencies = 28

Relative Frequency = 7 / 28

Relative Frequency = 0.25

I hope I helped you^_^

The relative relative frequency of survey members who prefer tennis is found to be 0.25.

The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.

Relative Frequency = Subgroup frequency/ Total frequency.

Total frequency for the sports is 28.

The frequency for tennis is 7.

The relative frequency of survey members who prefer tennis =

total frequency for tennis/total frequency for all sports

Relative frequency = 7/28

                               = 0.25

Therefore, the relative frequency for the members who preferred playing tennis is 0.25

To know about frequency distribution, here

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Answer:

f(x)= x+bx+5

f(1) = 1+ b(1) +5 =0

f(1) = 6 +b =0

6+b=0

b=-6

so we get,

f(3)= 3 -6(3)+5

f(3) = 3-18+5

f(3) = -10

hope it helps ^°^

Answer:

y = -3/5x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 5 - (-5)

-6/ 10

= -3/5

y = -3/5x + b

1 = -3/5(-5) + b

1 = 3 + b

-2 = b

Answer:

5x^(5/6)

Step-by-step explanation:

we will use properties of exponents

x^a/x^b = x^(a-b)

and

x^a * x^b = x^(a+b)

___________________________________

(125x^4y3/2)1/3÷(xy)1/2\\

expanding each term by taking power for each component of expression

=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)

=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)

using property =   x^a/x^b = x^(a-b)

=>5x^(4/3 - 1/2) y^(1/2 -1/2)

y^(0) = 1

=> 5x^((4*2-3)/3*2) *1

=> 5x^(5/6)

Thus, value of expression is 5x^(5/6)

Answer:

f(-2) =2

Step-by-step explanation:

x = -2

We need to use |x| since -2 <-1

|-2| =2

so f(-2) =2

Answer:

650

Step-by-step explanation:

475+375-65-135=650

Divide total feet by feet in a mile:

63,756/5280 = 12.075 miles

Divide 70 minutes by 60 minutes per hour:

70/60 = 1.166666 hours( round to 1.17)

Miles per hour = total miles/ total hours:

12.075/1.17 = 10.32 miles per hour

Answer:

269 , yo creo nose pero yo creo que necesitas restar sumar o dividir

Answer:

[tex]24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]

Step-by-step explanation:

[tex]2\sqrt{8x^{3} } (3\sqrt{10x^{4} } -x\sqrt{5x^{2} } )[/tex]

[tex]=2.2x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]

[tex]=4x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]

[tex]=12x^{3} \sqrt{2xx10} -4x^{3} \sqrt{2xx5}[/tex]

[tex]=24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]

OAmalOHopeO

Step-by-step explanation:

Using the rules of indices

So we have

And also by the rules of indices

Applying the rules to the above expression we have the final answer as

By using the rules of indices

Applying the rules to the above expression

We have the final answer as

Hope this helps you

Answer:

147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?

Answer:

13.6

Step-by-step explanation:

tan(45)=x÷8.5

1.6=x/8.5

x=13.6

Use the law of sines

x/sin(45) = 8.4/sin(85)

x = sin(45)*8.4/sin(85)

x = 5.96238563941842

x = 6.0