Answer:
m = e/c
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 26, 24, 22
we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
We are given an arithmetic sequence:
26, 24 , 22 ....
We need to find the nth term of this sequence (aₙ)
We will first find the common difference between the terms:
Common difference = d = 24 - 26 = - 2
also, we know that initial term = a = 26.
We know the formula for aₙ is given by:
aₙ = a + ( n - 1 ) d
Substituting the values, we get that:
aₙ = 26 + ( n - 1 ) ( - 2 )
aₙ = 26 - 2 n + 2
aₙ = 28 - 2 n
Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
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Solve the inequality.
3w-5>2w+w-7
1. w-2
2. All real numbers
3. No solution
4. w-2
Answer:
2. All real numbers
Step-by-step explanation:
Hope this helps!
Please mark as brainliest if correct!
(−7 + 4.6p) + (11.3p − 6)
Answer:
15.9p-13
Step-by-step explanation:
Answer:
15.9p-13
Step-by-step explanation:
i had this question and got it right
can you tell me what -48<-6b<48 is ?
The value of 'b' written in inequalities is: 8 > b > -8.
What are the rules solving inequalities?Inequalities are mathematical declarations that include the symbols > and <.
To'solve' an inequality, you must first identify a range, as well as ranges, of values which an unexplained x can take while still satisfying the inequality.In this unit, inequalities are solved with algebra and graphs.Some rules for solving the inequalities are-
If a < b, then a + c < b + c: The direction of an inequality symbol is not changed by adding same number for every side.If a < b, then a – c < b – c: The direction of an inequality symbol is not changed by subtracting the same number out of each side.If a < b and if c are a positive number, then a×c < b×c: The direction of an inequality symbol is not changed by multiplying/diving each side by a positive number.If a < b and if c is a negative number, then a×c > b×c: When every side of an inequality is multiplied/divided by a negative number, the direction of a inequality symbol is reversed.For the given inequality;
48 < -6b < 48
Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.
Thus,
8 > b > -8 which defined the limits for the b values.
Therefore, the interval for the value of 'b' are obtained as 8 > b > -8.
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How much water should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15%
The amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
Amount of water added to alcohol solutionLet x represent the amount of water
Hence,
15% = .18(30)/(30+x)× 100
Solve for x
.15 = 5.4/(30+x)
.15(30+x) = 5.4
30 + x = 5.4/.15= 36
x = 36 - 30
x = 6 ml
Therefore the amount of water that should be added to 30 mL of 18% alcohol solution to reduce the concentration to 15% is: 6ml.
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it's me again can someone solve this question i'm really bad at fractions
Answer:
it would be A since the plus sign is canceled by the minus sign for the equation.
help me pleaseeeeeeeeee.
Answer:
y = x + 3
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 2 and 5 is 3
The difference between 3 and 6 is 3
The difference between 4 and 7 is 3
So our answer will either be x= y-3 or y=x+3
Since y=x+3 is the only option that matches the table it must be the answer
Hope this helped and have a good day
10. (01.03 lc) when constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? (1 point) connect every other intersection of an arc and the circle with a segment. connect the intersections of the diameters and the circle with a segment. connect every intersection of an arc and the circle with a segment. connect the midpoint of the radius to the endpoint of the diameter.
The correct option is C. Connect every intersection of an arc and the circle with a segment.
When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.
What is regular hexagon?A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.
Some key features related to regular hexagon are-
A regular hexagon is a closed 2D shape with six equal sides as well as six equal angles. Each regular hexagon angle measures 120 degrees. The total of all interior angles is 120 × 6 = 720 degrees.Both have six sides, six interior angles, and six vertices.All six interior angles add up to 720 degrees.All six exterior angles add up to 360 degrees.To know more about the regular hexagon, here
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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.
When building an engraved regular hexagon.
Following the creation of six arcs on the circle, the following steps will be taken.
A segment should be connected to every intersection of an arc and a circle.
The correct question is -
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?
A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.
C. Connect every intersection of an arc and the circle with a segment.
D. Connect the midpoint of the radius to the endpoint of the diameter.
Answer: (C) Connect every intersection of an arc and the circle with a segment.
Step-by-step explanation: butter
4x + 17 = 5x + 6 whats the answer
Answer:
x=11
Step-by-step explanation:
4x + 17 = 5x + 6
Solve for x
Subtract 4x from each side
4x-4x + 17 = 5x-4x + 6
17 = x+6
Subtract 6 from each side
17-6 = x+6-6
11 =x
Answer:
[tex] \sf \: x = 11[/tex]
Step-by-step explanation:
[tex] \sf \: 4x + 17 = 5x + 6[/tex]
Subtract both sides by 4x to remove 4x.
[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]
Subtract both sides by 6 to remove 6 .
[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]
Find an equation of the tangent line to the curve xey yex = 4 at the point (0, 4).
An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].
What is tangent?A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.
Now according to the question;
To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-
Consider the given equation;
[tex]x e^y+y e^x=4[/tex]
Differentiate both side with respect to x;
[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]
Now apply product rule;
[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]
Applying exponential and power rule;
[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]
Solve the value of y'
[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]
Now, find the value of slope m.
[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]
[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]
Now, using the point-slope formula, obtain the line equation as follows.
[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]
Therefore, an equation of the tangent line to the curve is [tex]y=-(4+e^4) x+4[/tex].
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It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?
Infer means to guess or reach a conclusion, especially based on an indirect hint.
What exactly does inferred mean?The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.
Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.To learn more about inferred, refer to:
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Drag the numbers below to put them in order from least to greatest:
0.1 2.4 -7.9 -3.3 -7.7 -13
Submit Answer
Answer:
-13, -7.9, -7.7, -3.3, 0.1, 2.4
Step-by-step explanation:
Which statements are true about irrational numbers?
Select all that apply.
1. They are not real numbers.
2.Their decimal form contains a bar over one or more decimal numbers to show that they continue on infinitely.
3.They can be the square root of a non-perfect square.
4.They can be written as simple fractions.
5. Their decimal form contains an ellipsis, 3 dots, to show that they continue on infinitely.
Answer:
Step-by-step explanation:
the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true
rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.
the fifth choice only be used to decimal number with circulating decimal, not the irrational number.
The sales force at a certain company successfully closed 94 out of 200 sales calls. What was their percent success rate?
Answer:
47%
Step-by-step explanation:
Percentage of success = 94/200 * 100
= 94/2
= 47%
Here is a data set ( n = 117 ) that has been sorted. 51.7 56.8 65.3 66.8 67.3 68.1 68.1 68.3 68.6 68.7 69 69 69.6 69.7 69.9 70.2 70.8 71.2 71.3 71.4 71.7 72.3 72.6 72.9 73 73.4 74.3 74.4 74.6 74.6 75.2 75.4 75.5 75.5 75.7 75.9 76.3 76.7 76.8 77.3 77.4 77.9 78 78.3 78.3 78.5 78.7 79 79.4 79.6 79.6 79.8 80.2 81.1 82 82.1 82.2 82.4 82.9 83.1 83.3 83.4 83.4 83.5 83.6 83.7 83.7 83.8 84 84.1 84.5 84.6 84.9 85.1 85.3 85.3 85.5 85.5 86 86.7 86.9 87 87.6 87.7 87.7 87.7 87.8 88.4 88.5 88.8 89.1 89.1 89.1 89.3 89.5 89.7 90.4 90.5 90.6 91 91.1 91.2 91.9 92 92.2 92.8 92.9 93.1 93.9 94.1 95.1 95.6 96.9 97.1 97.3 97.5 100.1 find the 82nd-percentile:
The 82nd Percentile is 89.784
How to calculate percentile in statistics?The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
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-x^2+x-3<0
Solve X pls
Answer: x < √3 - x
Step-by-step explanation:
-x^2+x-3<0
= x^2+x < 3
= x^2 < 3 - x
= x < √3 - x
You have $175.29 in a savings account. You deposit an additional $48.75. How much more do you need to save to buy the cell phone?
Price: $249.99
Include the steps
Answer:
Step-by-step explanation:
So in your account you got $175.29
Then you deposit mean increase the amount of money in your account by $48.75
So: 175.29+48.75 = 224.04
The price is $249.99
So: 249.99 - 224.04 = $25.95
You need to save $25.95 in order to buy your cell phone
To buy the cellphone of worth $249.99, additional $25.95 are required.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The price of cellphone = $249.99
The amount in saving account = $175.29
Additional amount deposit in account = $48.75
Total amount in account after deposit = 175.29 + 48.75 = 224.04
Since, the price of cellphone is $249.99
And the amount in account = 224.04
So the more amount required = 249.99 - 224.04 = 25.95
To buy the cell phone $25.95 are required.
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When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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Help me out, Im not understanding what my answer is
In a track meet, Team A won 3 more medals than two times the medals won by Team B. Team A won 9 more medals than Team B, Find the number of medals for each team. Show all set-up, work, and write a complete sentence for your answer.
The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
How to solve Algebra Word Problems?
Team A won 3 more medals than two times the medals won by Team B.
If the number of medals won by team B is x, than;
Number of medals won by team A = 3 + 2x
Number of medals won by team B = x
Also, we are told that Team A won 9 more medals than Team B.
Thus;
(3 + 2x) = x + 9
2x - x = 9 - 3
x = 6
3 + 2x = 3 + 2(6) = 15 medals
Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
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Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$22.18
$6.28
$29.94
$11.09
If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
CostFirst step is to calculate the amount that the three friend paid
Amount=$9.98×3
Amount=$29.94
Now let calculate the cost of the jalapeno poppers
Cost=$29.94-$18.85
Cost=$11.09
Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
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sam ran 63,756 feet in 70 minutes. what’s sams rate in miles per hour
Answer:
63,756 ft / 70 min
Calculate the riemann sum r(f,p,c)r(f,p,c) for f(x)=xf(x)=x, p={1,1.3,1.6,2}p={1,1.3,1.6,2}, c={1.2,1.45,2
1.545 is the riemann sum of the function .
What does Riemann sum do?
A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.f(x) = x
p = { 1, 1.2 , 1.7 , 2}
c = { 1.1, 1.45,2}
fpr the interval ( 1, 1.2) Δx = 0.2
( 1.2, 1.7 ) Δx = 0.5
( 1.7 , 2 ) Δx = 0.3
R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 + f(0)0.3
= (1.1) × 2 + ( 1.45) ×( 0.5) + 2 × 0.3
= 0.22 + 0.725 + 0.6
= 1.545
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Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.
The equation of the line is y=x+12.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The points are
(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]
The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
We have to Write the equation of the line.
According to given question we have,
Equation of line passing through the point (-3,9) and (-9,3).
Slope of the line=
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]
⇒y−9=1(x+3)
⇒y-9=x+3
Add 9 on both sides we get,
y=x+12
∴ y=x+12 which is in the form y=mx +c is the required equation.
Therefore, the equation of the line is y=x+12.
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y = x + 12
What is equation of a line?
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.
y-y₁=m(x-x₁)
mm₁=-1
Points (-3,9) and (−9,3).
Slope of the line m = (y₂ - y₁)/(x₂ - x₁)
m = (3-9)/(-9+3)
m = 1
Now equation of line passing through two points
(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)
(y - 9)/(3-9) = 1*(x - 3)/(-9+3)
y - 9 = x + 3
y = x + 12
Therefore, the equation of line is y = x + 12
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What is 17.1936 to the hundredths place?
Answer:
9
Step-by-step explanation:
The number 9 is in the hundredths place!
From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!
The given frequency distribution table shows the marks obtained by 32 students in a test.
Marks No. of Students
0-10 2
10-20 10
20-30 9
30-40 4
40-50 7
a. What is the class size?
b. What is the upper limit of the class interval 40-50?
c. What is the lower limit of the class interval 20-30?
d. What is the frequency of the class interval 10-20?
The class size is 10.
The upper limit of the class interval 40 - 50 is 50/
The lower limit of the class interval 20 - 30 is 20.
The frequency of class interval 10 - 20 is 10.
What is the frequency distribution?A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.
Class size = upper limit - lower limit
50 - 40 = 10
The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the upper limit is 30 and the lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.
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please help thank youuuu
Answer: 87/100
Step-by-step explanation:
PLEASE HELP ITS DUE IS ONE HOUR !!!
The correct responses for the points, segments, lines, planes, are as follows;
1. M, S, X, and Y
2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]
3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]
4. [tex]\overrightarrow{MT}[/tex]
5. S, M, T
6. T
7. [tex] \overline{MT}[/tex]
8. [tex] \overleftrightarrow{SX}[/tex]
9. [tex] \overleftrightarrow{SX}[/tex]
10. [tex] \overline{MR}[/tex]
11. A line
12. A plane
13. A point
14. A plane
15. A ray
16. A segment
Please find attached the drawing for the figures in questions 17, 18, 19,and 20
What are the required points, segments, lines, planes and rays?1. A point in Euclidean geometry is a location in space.
Four points are; M, S, X, and Y
2. A line has no thickness and extends indefinitely in both directions.
Two lines are;
[tex] \overleftrightarrow{SX}[/tex]
[tex] \overleftrightarrow{YR}[/tex]
3. Four segments are;
[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]
4. A ray that has M as an endpoint is \overrightarrow{MT}
5. Three collinear points are; S, M, T
6. A point not on [tex] \overline{YR}[/tex] is T
7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]
8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]
9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]
10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR
11. A toothpick suggests a line
12. A floor suggests a plane
13. The tip of a pin suggests a point
14. The water surface of a swimming pool suggest a plane
15. A beam of light from a laser suggests a ray
16. A fence pole suggests a segment
Please find attached the drawing for the figures in questions 17, 18, 19, and 20
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New, larger bottle of shampoo contains 20 ounces. the bottle says you get 33% more than the amount in the original bottle. how many ounces of shampoo were in the original bottle?
Amount of shampoo in the original bottle is 15.0376 ounces.
Larger bottle of shampoo contains = 20 ounces
Let, amount of shampoo in the original bottle = x ounces
33% of amount of shampoo in the original bottle = ((33x)/100)
According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write
20 = x + ((33x)/100)
⇒ 20 = x + 0.33x
⇒ 20 = 1.33 x
⇒ x = 20/1.33
⇒ x = 15.0376
Amount of shampoo in the original bottle is 15.0376 ounces.
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the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?
Answer:
The type of polygon that is formed is a Hexagon because of its 6 sides.
Step-by-step explanation:
When you graph all of these points into a coordinate grid it should look like this: