The coordinates of the vertices of a polygon are the point 1 comma 2, the point 1 comma negative 1, the point negative 6 comma negative 1, and the point negative 6 comma 2. What is the perimeter of the polygon?

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

what trapezoid? please provide the trapezoid so I can help you

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

57

Step-by-step explanation:

Step 1:

3 = n ÷ 19

Step 2:

3 × 19 = n

Answer:

57 = n

Hope This Helps :)

Answer:

70%

Step-by-step explanation:

As they are 10 pieces and only 7 are shaded me need to multiply 7x10 and it's 70

Answer:

\(y = 5( {3}^{x} )\)

Answer:

60 boxes

Step-by-step explanation:

180 pounds plus 20 pounds is 200 pounds, which means that the weight of the boxes can't be any more than 1800 pounds (2000 - 200 = 1800). Divide 1800 by 30 (weight of one box) and you'll get 60 boxes

Answer:

The volume of the triangular prism is 100 cubic centimeters.

Answer:

-4d

Step-by-step explanation:

L.c.m=15

15×2/5(d-10)-2/3×15(d+6)

3×2(d-10)-2×5(d+6)

6(d-10)-10(d+6)

6d-60-10d-60

6d-10d-60-60

-4d-0

-4d

The number of handshakes altogether exists 45.

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The components of the subset are arranged in a particular order in a permutation.

A combination in mathematics is a choice of elements from a set with distinct members, where the order of the choices is irrelevant.

Combinations are a mathematical method for calculating the number of alternative arrangements in a collection of objects where the order of the selection is irrelevant. You are free to choose any combination of the things.

Given:

Number of people in the conference = 10

Each person shakes hands with others.

The total number of handshakes \($={ }^n \mathrm{C}_2$\)

Total number of handshakes \($={ }^{10} C_2=(10 \times 9) / 2=45$\) handshakes.

The complete question is:

At the end of a meeting all the ten people present shake hands with each other once. The number of handshakes altogether is

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Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

There are about 80 students age 15 and above take a car to school.

Step-by-step explanation:

1. For all the columns the total has been given.

2. Bus is taken as 60 as walk/bike has been given 65 under age 15.

3. 195 row total Age 15 and above has been provided and updated.

4. Walk/Bike 152, 65 is already given Age 15 and above difference is 87.

5. Bus 60 under age 15 is already given total 110 difference is 50.

6. Age 15 and above 65,50,195 (Total) is already given row difference is 80.

7. Car is Age 15 and above is 80 and Total column is 98 difference is 18.

8. Age 15 and above take car is 80.

Answer:

its 41%

Step-by-step explanation:

i took the test

Answer:

Mean=85.56, median=90, mode=95 and range=35

Step-by-step explanation:

To calculate the mean is the same as the average value in a data set. Median is data value separating the upper half of a data set from the lower half. The median is the data value separating the upper half of a data set from the lower half. The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number from the largest number.

Answer:

Step-by-step explanation:

yes the answer is B

it should have been x+3=+-\(\sqrt{14}\)

so x=-3+-\(\sqrt{14}\)

hope my answer helps if it does please mark as brainliest

The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Now,

Huy is solving a quadratic equation by completing the square.

The steps are;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Solution; x²+3x=5   (step 1)

x²+3x+9 = 5+9        (step 2)

(x + 3)² = 14             (step 3)

x = - 3 ± √14           (step 4)

Clearly, In step 2 when add 9 then it not make the square form.

That is,

x² + 3x + 9 ≠ (x + 3)²

Thus, The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

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Answer:

45 degrees

Step-by-step explanation:

Subtract 360° 360 ° from 405° 405 ° . The resulting angle of 45° 45 ° is positive, less than 360° 360 ° , and coterminal with 765° 765 ° .

After simplifying, your final answer is 3/2. Check the picture above for the work.

Answer:

☆< 《HOPE IT WILL HELP YOU》>☆

Step-by-step explanation:

Y=1.5x+2

y=1.5 (1) +2

y=1.5+2

y=3.5

y=1.5(2)+2

y=3+2

y=5

y=1.5 (3)+2

y=4.5+2

y=6.5

y=1.5 (4)+2

y=6+2

y=8

y=1.5 (5)+2

y=7.5+2

y=9.5

Answer: 12.3 seconds.

Step-by-step explanation: Hope It Helps :)

Answer:

It is called concentric circles

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

4.53*10^7 because you have to move the decimal place then multiply by ten to the power of the amount you moved the decimal.

Answer:

B) 40 yd²

Step-by-step explanation:

Square = 4x4=16

Triangle = 1/2x6x8=24

16+24=40 yd²

Answer:

The answer is B, 40yd2

Step-by-step explanation:

hope this helps

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²