Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point
1.)(2, -1)
2.)(10, 2)
3.)(8, 4)
Answers
Answer:
Option 3 - (8,4)
Step-by-step explanation:
Given : Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0).
To find : The fourth vertex is point ?
Solution :
We have given that points are forming a parallelogram.
Let the fourth coordinate is (x,y)
Now, we draw a rough image of the given situation.
Refer the attached figure below.
Draw a parallelogram ABCD with mid point O.
Applying the mid point between two points (2,4) and (6,0).
[tex]O=\frac{2+6}{2}, \frac{4+0}{2}\\\\ O=4,2[/tex]
Now, Applying mid point between points (0,0) and (x,y)
[tex](4,2)=\frac{x+0}{2}, \frac{y+0}{2}[/tex]
[tex]\frac{x+0}{2}=4, \frac{y+0}{2}=2[/tex]
[tex]x=8 ,y=4[/tex]
Therefore, The fourth vertex point is (8,4).
Hence, Option 3 is correct.
Related Questions
gregorios drive 200 miles per day for 10 days how many miles did he drive in all
Answers
Otherwise done as 200x where x=10. We fill it in and get 2,000 miles.
From Monday to Tuesday, the depth of a snowdrift changed by −2 3/8 inches. From Tuesday to Wednesday, the depth changed by half as much. What is the change in the depth of the snowdrift from Tuesday to Wednesday? Please answer I don't have much time, thanks.
Answers
divide 2 3/8 inches by 2
2 /2 = 1
3/8 /2 = 3/16
change was - 1 3/16
The number 72 is between what two perfect squares? Enter a numerical answer only
Answers
Find the percent of change from $240 to $320
Answers
1.33 = 133% (move the decimal point over two places to the right)
133% is your answer
hope this helps
Then the percentage change was
$80
-------- * 100% = +33.33%
$240
Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years
Answers
It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.
Explanation:To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:
Interest = Principal × Rate × Time
Where:
Substituting the values into the formula:
Interest = $1,900 - $1,000
$1,900 - $1,000 = $900
$900 = $1,000 × 0.125 × Time
To find Time, we can rearrange the formula:
Time = $900 / ($1,000 × 0.125)
Time = 0.72 years
Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.
Three-fourths of the sixth grade students at Ashlee’s school are twelve years old. One-half of the twelve year old students are boys. What fraction of the sixth grade students are twelve year old boys? Use numbers to explain your answer.
Answers
I'm not sure if that's correct or not though.
Find a formula for the function whose graph is given below.
Answers
^^^^^^^^^^^^^^^^
The equation of parabola is y = ( x - 2 )² + 3
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k - p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
The vertex of the parabola is given as A ( 2 , 3 )
Now ,
The equation of parabola is given by
y = a ( x - h )² + k
where the vertex of the parabola is A ( h , k )
a = 1
So , substituting the values of vertex in the equation of parabola , we get
y = ( x - 2 )² + 3
Hence , the equation of parabola is y = ( x - 2 )² + 3
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The Junior Soccer League takes 12-person vans to the tournament. The league has 146 players and 14 coaches. How many vans are needed and how many people are left over?
Answers
Final answer:
The Junior Soccer League will need a total of 14 vans to transport 160 people, with 4 people left over after filling the 13th van.
Explanation:
To calculate the number of 12-person vans needed for the Junior Soccer League event, we first need to determine the total number of people that require transportation. This includes both players and coaches.
We have 146 players and 14 coaches, giving us a total of 160 people. If each van holds 12 people, the next step is to divide the total number of people by the capacity of the van.
Divide the total number of people by the capacity of the van (12).Calculate the number of full vans required.Determine if there are any people left over.160 ÷ 12 = 13 vans with 4 people left over because 12 vans can only carry 144 people (12 × 12), and 16 people are remaining, which requires another van to accommodate them.
So, the league will need a total of 14 vans for transportation, and there will be 4 people left over after filling the 13th van.
On Monday, David had $50 in his wallet and withdrew $200 from his bank account. He bought 2 shirts for $12.00 each, and 2 pairs of shoes for $26.00 each. Write the final expression needed to determine how much money David had at the end of the shopping day. 50+200- [2(12) +2(26)] 50+200+[2(12) +2(26)] 50-200[2(12) +2(26)] 50-200/[2(12) +2(26)]
Answers
Answer:
50 + 200 - [2(12) + 2(26)] is the correct option
What is 45 1/2% as a fraction in the simplest form?
Answers
[tex] \frac{45 \frac{1}{2} }{100} [/tex]
Converting the mixed number 45 1/2 to the improper fraction 91/2, we now have:
[tex] \frac{ \frac{91}{2} }{100} [/tex]
Dividing a number by 100 is the same thing as multiplying it by 1/100, so we can rewrite this complex fraction as the product
[tex] \frac{91}{2}\times \frac{1}{100} = \frac{91}{200} [/tex]
91/200 is irreducible, so we have our answer.
Melody jackson wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. a neighbor gave her 30 feet of fencing, and melody wants the length of the garden along the garage to be 3 feet more than the width. what is the length of the garden? write your answer without units.
Answers
Length = 9
Which number could replace box the to make this number sentence true?
27 > + 8
Answers
seven
siete
siedem
sept
these are diffrent languagues for you
A survey asks 1200 workers, "has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-five percent of those survey selected. The random variable represents the number of workers who are reducing the amount of vacation. Find the mean, variance and standard deviation of the binomial deviation of the binomial distribution.
Answers
In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
standard deviation = square root of variance = √273 = 16.52.
The probability of an event is defined as the possibility of an event occurring against sample space.
Let us tackle the problem.
A survey asks 1200 workers → n = 1200
Thirty-five percent of those survey selected → p = 35% = 0.35
To find the mean of a binomial distribution, we can use the following formula:
[tex]Mean = n \times p[/tex]
[tex]Mean = 1200 \times 0.35[/tex]
[tex]\boxed {Mean = 420}[/tex]
To find the variance of a binomial distribution, we can use the following formula:
[tex]Variance = n \times p \times (1 - p)[/tex]
[tex]Variance = 1200 \times 0.35 \times (1 - 0.35)[/tex]
[tex]Variance = 1200 \times 0.35 \times 0.65[/tex]
[tex]\boxed {Variance = 273}[/tex]
To find the standard deviation of a binomial distribution, we can use the following formula:
[tex]Standard ~ Deviation = \sqrt{Variance}[/tex]
[tex]Standard ~ Deviation = \sqrt{273}[/tex]
[tex]\boxed {Standard ~ Deviation \approx 17}[/tex]
Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581Answer detailsGrade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation
The first truck in a convoy will carry 12 tons of dirt while each additional truck will carry 8 tons of dirt. Write a rule to model th situation. Then use the rule to find how many tons of dirt can be carried by 7 trucks. Let n represent the number of trucks and t represent the tons of dirt.
Answers
68 tons of dirt will be hauled
Final answer:
To model the situation, use the rule t = 12 + 8(n - 1), where n is the number of trucks. Applying this rule, 7 trucks can carry a total of 60 tons of dirt.
Explanation:
The student should write a rule to model the situation where the first truck carries 12 tons of dirt and each subsequent truck carries 8 tons. The rule can be defined as t = 12 + 8(n - 1), where n represents the number of trucks and t represents the total tons of dirt carried. For 7 trucks, we can plug in the value of n into the equation:
t = 12 + 8(7 - 1)
t = 12 + 8(6)
t = 12 + 48
t = 60 tons
Therefore, 7 trucks can carry a total of 60 tons of dirt.
Jimmy has a number cube labeled 1through 6, and a penny. How many different ways can the cube and penny land with one roll of the cube and one flip of the penny . 1. 2. 3. 4. 5. 6
Answers
Ex.
1H 2H 3H 4H 5H 6H
1T 2T 3T 4T 5T 6T
Answer:
12 ways
Step-by-step explanation:
We know that,
When the cube is rolled,
Possible ways = 6 ( i.e. 1, 2, 3, 4, 5 or 6 ),
While, when a penny is flipped,
Possible ways = 2 ( i.e. head or tail ),
Thus, when the cube and penny flipped one time,
Total possible ways = 6 × 2 = 12
( i.e, 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T or 6T )
Simplify by combining like terms.
12−a+a+12
Thanks!
Answers
how many tiles in figure 0? Where is the Y intercept?
Answers
where's the y-intercept? well, just look at the line, what are coordinates where the graph touches or intercepts the y-axis? well, is at (0,3).
the following shows a sequence of perfect cube
64,p,216,q
find the value of p+q
Answers
4^3, 5^3, 6^3, 7^3.
p = 5^3, q = 7^3
p + q = 468
64, 125, 216, 343, etc. This is equivalent to 4^3, 5^3, 6^3, 7^3, etc.
Then p = 125, and q =343. Thus, p + q = 125 + 343 = 468 (answer)
Use the distributive property to write the products as sums:7(4n-5m-2)
Answers
The distributive property is used to multiply 7 by each term inside the parentheses (4n, -5m, -2) resulting in the expression 28n - 35m - 14.
Explanation:To apply the distributive property to the expression 7(4n-5m-2), you multiply each term inside the parentheses by 7. The distributive property allows us to multiply a single term outside a parenthesis with each term inside the parenthesis, effectively distributing the multiplication.
First term: 7 × 4n = 28nSecond term: 7 × -5m = -35mThird term: 7 × -2 = -14Therefore, the product written as a sum, using the distributive property, is 28n - 35m - 14.
10 mi.= _________ft.
Answers
5280 x 10 = 52800
52800 ft is your answer
hope this helps
the letters that spell WAIKIKI are each written on separate tiles laying face down on a table. A tile is selected at random, the letter is recorded, and then the letter is placed face down on the table. Then the process repeats. What is the theoretical probability of choosing a tile with the letter A?
A. 1/7
B. 1/4
C. 2/7
D. 3/7
Answers
Answer:
the Answer is. A 1/7
Step-by-step explanation:
i did the test
what is the correct way to read this number 6.3078
Answers
Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?
Answers
Saylor Henshaw invested $1600.
Explanation:To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:
Interest = Principal × Rate × Time
In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.
Let's assume the principal amount is P.
Using the formula:
120 = P × 0.05 × (9/12)
Simplifying the equation, we have:
P = 120 ÷ 0.05 × 12/9
P = $1600
So, Saylor Henshaw invested $1600.
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A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n
Answers
Answer would be D
, you need to divide the total distance by the spacing to find total markers
Answer:
Your answer is D. 30 divided by 0.2 = n.
Step-by-step explanation:
Divide 30 by 0.2 and you get your correct answer.
_____ require a date signature amount and pay to the order of. (1 point)
Credit Cards
Debit Cards
Checks
Loan Documents
Answers
for a Debit Card, is the same as above, they're just a different type of arrangement as the Credit Card.
for Loan Documents, you're not being paid or are paying anything, you're loaning an amount, it requires signatures and some dates, amounts and loaner info...but is not a payment per se.
so, that leaves the obvious one. for Cheques you do need a signature, amount, date and person to whom it goes, and you have to write it in ink, or something non-erasable that easily.
The answer is; c.) checks!
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
Answers
Expressions equivalent to 'log 2 - log 6' are based on the property of logarithms that states 'log a - log b' is equivalent to 'log (a/b)'. Thus, the equivalent expression is 'log (1/3)'.
The expressions equivalent to log 2 - log 6 can be found using the property of logarithms that deals with the difference of logarithms. According to this property, log a - log b is equivalent to log (a/b). Therefore, one equivalent expression for log 2 - log 6 would be log (2/6), which can be simplified to log (1/3).
Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→8 x2 − 64 x2 − 8x
Answers
[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}=\lim_{x\to8}\frac{(x+8)(x-8)}{x(x-8)}=\lim_{x\to8}\frac{x+8}x=\dfrac{16}8=2[/tex]
but we can still use it if only to verify the result:
[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}\stackrel{\mathrm{LHR}}=\lim_{x\to8}\frac{2x}{2x-8}=\lim_{x\to8}\frac x{x-4}=\frac8{8-4}=2[/tex]
Take the limit as x approaches 8 to get the answer of 9.
Explanation:To find the limit of (x² - 64) / (x² - 8x) as x approaches 8, we can simplify the expression by factoring and cancelling common factors.
First, we factor in the numerator and denominator:
x² - 64 = (x + 8)(x - 8) and x² - 8x = x(x - 8).
Now we can cancel the common factor of x - 8 to simplify the expression: (x + 8)/(x).
Now, we can take the limit as x approaches 8:
Lim(x→8) (x + 8)/(x) = 8 + 8/8
= 9.
So the limit of the given expression as x approaches 8 is 9.
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There are 25 students performing in their holiday concert. Of students 11 are boys. What decimal represents the fraction of the students that are boys
Answers
The fraction would be: 11/25
11/25 as a decimal is: 0.44
So, 0.44 of the 25 students are boys.
I really hope this helped you out! :)
what is the interqueartile range for the data set 13,14,17,18,23,27,28,31,34
Answers
We must now find Q1 and Q3. To the left of 23 we have 13, 14, 17, 18. Take the median of these four points: It is the average of 14 and 17, or 15.5.
Similarly, find the mediation of 27, 28, 31, 34; it is the average of 28 and 31, or 29.5.
The IQR is the difference between Q3 and Q1; here, that difference is 29.5 - 15.5 = 14.
An employee's annual salary was increased from $22,464.00 to$24,710.40 last year. If it is increased by the same percent this year, what will the employee's salary?