On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.

The area of parallelogram ABCD is found to be 2√3 square units.

A quadrilateral is known as a parallelogram in geometry. The opposite sides of a parallelogram are parallel & equal in length. Rhombus, rectangle, & square are a few examples of parallelograms.

We know that diagonal of such a parallelogram divides it into two equal triangles.

So, parallelogram area,

ABCD = 2× area of ΔABC (equation 1)

The area pf the triangle is found through the vertices are (x₁,y₁), (x₂,y₂), (x₃,y₃) is;

Area = (1/2)×[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

The vertices of the triangles are given as;

A(2,4), B(2+ √3 ,5) and C(2,6)

Area = (1/2)×[2(5−6) + (2+√3)(6−4) + 2(4−5)]

Area = (1/2)×[−2+2(2+ √3)−2]

Area = √3

When we plug this value into equation (1),

Parallelogram area,

ABCD = 2×the area of ABC

ABCD = 2×√3

ABCD = 2√3

Thus, the area of the parallelogram ABCD id estimated as 2√3 square units.

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The correct question is -

Find the area of a parallelogram ABCD if three of its vertices are A(2,4), B(2+ √3 ,5) and C(2,6)

Answer:

the is X=4

Step-by-step explanation:

Distribute

5(x-6)+3= -7

5x-30+3= -7

add numbers

5x-30+3= -7

5x-27= -7

add 27 to both sides

5x-27= -7

5x-27+27= -7 + 27

simplfly

5x=20

divide both sides by 5

5x = 20

-- ----

5. 5

5 and 5 are off

divide 20 by 5

20/5= 4

therefore x= 4

hope this help if it does help I'd be happy if you follow and give me the brainliest answer

Problem 14

Reason: The coefficients are numbers to the left of the variables

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Problem 15

Reason: The degree is the largest exponent.

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Problem 16

Reason: The term without any variables attached is the constant.

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Problem 17

Reason: The four terms are 11x, 9x^3, -8y, and 5

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Problem 18

Reason: Write the terms with the largest exponent first. Then have the exponents count down.

Answer:

Mode is 6.55

Step-by-step explanation:

To find the mode, you put the numbers in order from least to greatest and count how many times each number occurs. In this case its 6.55.

Answer: the mode set is 6.55

Step-by-step explanation:

First, order the data set:

5.88  6.12  6.21  6,55  6.55  6.55  7.47  7.48  7.48  8.37

The mode set is 6.55

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Also ask this in ijsjsjwnwhsvsusu. You can also find in

Answer:

2.7 miles

Step-by-step explanation:

0.5 + 1.3 + 0.9 = 2.7

The obtained two numbers by substitution method are 5 and 12.

The algebraic method for solving simultaneous linear equations is the substitution method.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

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Answer: False

Step-by-step explanation:

Answer:

Here in the picture is the prime factorisation of 13824

Please mark as brainliest

Answer:

20

Step-by-step explanation:

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

The number of books taken by each student is 6.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.

The average is calculated by dividing the sum of the total number of items by the total counts of the items.

Average = 14400 / 2400

Average = 6

Therefore, the number of books taken by each student is 6.

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Answer:

Step-by-step explanation:

v > 2

hope this helps :)

y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

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Your question was incomplete. Check for full content below-

Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

Closeness of primary dwelling to farmland as a predictor (in miles) outcome variable: support for animal rights (scale from 0-50) The proper inferential statistic to use is the correlation coefficient.

What is a predictor and response variable?

A predictor variable example is what?

Is a predictor variable dependent or independent?

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From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.

It is to be noted that

m∠GFH = m∠EFH

m∠EFH = 71°

m∠EFG = m∠GFH + mEFH

Hence,

m∠EFG = 71 + 71

= 142°

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75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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The test statistic value calculated by the statistical procedure selected is known as the obtained value.

The obtained value is the test statistic value derived using the specified statistical procedure.

An outcome of a statistical test of a hypothesis is a test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.

The p-value of these results, which is needed to decide whether to reject your null hypothesis, is calculated using the test statistic.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the obtained value.

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The greatest value in range of work situation is $200.

For the given question;

The one time bonus is $40.

Amount earned by Kara per hour is $8.

The range of working hours lies between 16 to 20 hours in a week.

Let 'x' be the number of hours Kara worked.

The the inequality will be;Then, the equation for the amount earned in a week is;

Total pay = one time pay + 8×number of hours

Total pay = one time pay + 8x

The greatest value will be earned by the kara when she will work for 20 hours.

Thus, put x = 20.

Total pay = one time pay + 8×20

Total pay = 40 + 8×20

Total pay = 200

Therefore, the total greatest pay earned by the Kara is $200.

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Answer:

The multiple of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+ 45+48+51+54+57+60+63

=690

Answer:144

Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total.  360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144

The numbers have absolute values that differ by 1, and the number with the larger absolute value is positive.

The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;

1. y = 15•x + 100

2. The slope is first calculated, then the equation is expressed in the point and slope form

3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.

3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership

1. Points on the graph are; (0, 100) and (20, 400)

The slope, m, is therefore;

m = (400 - 100)/(20 - 0) = 15

The equation in slope and intercept form is therefore;

y - 100 = 15•(x - 0) = 15•x

2. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.

The slope and intercept form is obtained from the point and slope form by making y the subject

3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15

3b. The labels for the x and y axis based on the above situation are;

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The expression that  is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.

power in mathematics can be described as the  the  expression  which help to give the representation of repeated multiplication  by the use of same factor.

We can  open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]

Therefore, the second option is correct because they are the option that correct with the description in the question.

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Answer: 2 1/2 hours

Step-by-step explanation: 45/18 = 2 1/2

Answer: A=-2

Step-by-step explanation:

AB=11

B=9

B-11=A

9-11=A

A=-2

Answer: 13x

Step-by-step explanation: Multiply x to 11 and 2

11x+2x=13x

Answer:

Answer

Step-by-step explanation:

3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.