Using the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 24 units.
What is the Perimeter of a Polygon?
Perimeter = sum of all sides of the polygon.
Name the vertices as follows:
A(−2, 1)B(−2, 4)C(2, 7)D(6, 4) E(6, 1)Perimeter of the polygon = AB + BC + CD + DE + EA
Use the distance formula, [tex]d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find the length of each segment:
AB = |1 - 4| = 3 units
BC = √[(2−(−2))² + (7−4)²]
BC = 5 units
CD = √[(2−6)² + (7−4)²
CD = 5 units
DE = |4 - 1| = 3 units
EA = |6 - (-2)| = 8 units
Perimeter of the polygon = 3 + 5 + 5 + 3 + 8
Perimeter of the polygon = 24 units
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Are the graphs of the lines in the pair parallel? Explain. y = 3/7 x + 11 and –3x + 7y = 13
Identify the hypothesis of the statement below.
If the sum of the measures of two angles is 180°, then the angles are supplementary angles.
Guys please help! 15 points and brainliest! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
math help easy will give brainliest
Answer: the equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
I hope that this helps! :3
BRAINLIESTTTT!!!
1. Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
Write the equation for the vertical line that contains point E (10,-3)
Sadie's ice cream shop sold 11 sundaes with nuts and 1 sundae without nuts. what is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?
Which unit rate is the lowest price per ounce? choice
a.25 ounces of potato chips for $3.49 choice
b.45 ounces of potato chips for $4.79 choice a choice b the unit rates are equal. the unit rates cannot be determined?
Answer:
choice b
Step-by-step explanation:
im smart
will give award to whoever answers!
justify each step in solving 4x - 3 = 9
4x - 3 + 3 = 9 + 3
4x = 12
4x/4 = 12/4
x = 3
Which figure shows how a shape can be rotated about an axis to form a cone?
A. Triangle
B. Circle
C.Square
D. right triangle
The figure that shows how a shape can be rotated about an axis to form a cone is (d) right triangle
How to determine the figure?The shapes are given as:
A. Triangle
B. Circle
C.Square
D. right triangle
Rotating a circle about its axis would form a sphere, while a square would be rotated to form a cylinder.
However, when a right triangle is rotated, it forms a cone
Hence, the figure is (d) right triangle
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Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,-4); L: 2y=x. I've tried solving it and looking at examples, but no examples in my book are like this problem.
Jill is 7 kilometers away from joe. both begin to walk toward each other at the same time. jull walks at 1.5 kilometers per hour. they meet in 2 hours. how fast is joe walking?
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=2/7x
Divide. Write your answer in simplest form.
4 ÷ 5/6
A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.
a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.
b. How many miles can the owner travel on 12 gallons of gas?
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.
Your business borrowed 10 bitcoins on May 1, when 1 bitcoin was worth $1,418.86. On June 1, 1 bitcoin was worth $2,441.29. Not counting the 1 month of interest, what is the total amount, including the principal, your business owed on June 1, in dollars?
The business owed a total of $24,464.43, including the principal, on June 1.
Explanation:To calculate the total amount your business owed on June 1, we need to find the value of the borrowed bitcoins in dollars on that date.
Step 1: Convert the number of borrowed bitcoins to dollars on May 1 by multiplying it by the value of 1 bitcoin in dollars: 10 bitcoins * $1,418.86/bitcoin = $14,188.6.
Step 2: Convert the value on May 1 to the value on June 1 by multiplying it by the change in the value of 1 bitcoin:
$14,188.6 * ($2,441.29/$1,418.86)
= $24,464.43.
Therefore, your business owed a total of $24,464.43, including the principal, on June 1.
The total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
To calculate the total amount owed on June 1, we need to multiply the number of bitcoins borrowed by the value of one bitcoin on that date.
On May 1, the business borrowed 10 bitcoins, and the value of one bitcoin on June 1 was $2,441.29. Therefore, the total amount owed on June 1, excluding interest, is calculated as follows:
Number of bitcoins borrowed = 10
Value of one bitcoin on June 1 = $2,441.29
Total amount owed on June 1 (in dollars) = Total amount owed on June 1 (in dollars) = [tex]10 \times $2,441.29[/tex]
Total amount owed on June 1 (in dollars) = $24,412.90
Thus, the total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answer:
24,024
Step-by-step explanation:
on god
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.
The shirt ring up for at the register will be given as,
⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)
⇒ $45.99 x 0.65 x 1.0725
⇒ $32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
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Which function is negative for the interval [–1, 1]?
The answer is the second graph
Answer:
the answer is the 2nd graph your welcome:)
Step-by-step explanation:
A function is the relationship between two variables such that each input has exactly one output
The function which is negative for the interval [-1, 1] is the function represented by the second graph
The reason the second graph is the correct option is as follows:
The output values of a function are the y-values of the function. A function is negative over an interval if its y-values are negative in the interval
The given interval is [-1, 1], which is the interval from x = -1, to x = 1
From the given graphs, the graph of the function that is negative over the interval [-1, 1] which is the second graph
a·x² + b·x + c = 0
At x = 0, y = -2
At x = 1, y = 0
At x = -1, y = 0
At x = 2, y = 2
Solving the above gives; The equation of the function is f(x) = x² - 2
The graph of the function is attached
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Solve the inequality. -2/3x – 10 < 1/3
What is Indegree and Outdegree of a graph?
Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)
0.74 as a fraction in simplest form
are the lines the same if the right line is a translation of the left line 4 units to the right
PLEASE HELP! 15 POINTS
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W
What is the answer for 623 divided by 20?
The inverse of x y is: x y x y y x x y y x
Answer:
The inverse of xy is yx.
Step-by-step explanation:
Given: xy
We need to find the inverse of xy.
To find inverse of an expression, we need to replace the variable x by y and y by x.
Given xy.
Now replace x by y and y by x, we get
yx
Therefore, the inverse of xy is yx.
Let me show you an example.
y = x - 2
To find the inverse function, replace x by y and y by x, we get
x = y - 2
It is an equation, to write the equation in terms of y, add 2 from both sides, we get
x + 2 = y -2 + 2
x + 2 = y
Therefore, y = x + 2
Lima is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
If b= the number of boys, which algabraic expression represents the phase?