The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex
Answers
Answer:
A’(5 , -3)
B’(1 , 5)
C’(-9 , 1)
Step-by-step explanation:
Let A be the point of coordinates (-4, 3)
Let B be the point of coordinates (-2, -1)
Let C be the point of coordinates (3, 1)
____
In this case we can form three parallelograms ABA’C, BAB’C , CAC’B
How to find the coordinates of the fourth point A’ of the parallelogram ABA’C
Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :
[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]
________________________
We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.
B’(1 , 5)
C’(-9 , 1)
Related Questions
Which of the following values in the set below will make the equation 4x + 2 = 18 true?
{0, 1, 2, 3,4}
^^ those are the input numbers
Answers
Answer:
4
Step-by-step explanation:
subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4
4x+2=18
-2. -2
4×=16
4. 4
x=4
(02.01 LC) Which of the following tables represents a function?
Answers
Answer:
the answer is the third one
Step-by-step explanation:
because in a function the x value has to be unique.
Answer:
c (third one)
Step-by-step explanation:
This below in pic is the question i need reason for my answer pls help
Answers
Answer:
The triangle is equilateral, therefore each angle must be 60.
Step-by-step explanation:
Find teh value of teh coefficient a in the equation ax +2y =8 if a solution to the equation is the pair x=2 and y= 1
Answers
Answer:
a(2)+2(1)=8
2a+2=8
2a=8-2
2a=6
a=3
2a + 2 = 8
2a = 8-2
2a = 6
a = 6/2
a = 3
Why can't the square root cancel out the exponents in the distance formula?
Answers
Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.
For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.
So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.
In simplest form 1 3/10 x 18=
Answers
207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18
Convert the mixed fraction to improper fraction and simplify.
[tex]1\frac{3}{10}[/tex]=23/10
Now multiply Twenty three divided by ten with eighteen.
23/10×18
Multiply 23 and 18
23×18=414
Now divide 414 by 10
414/10
Both numerator and denominator can be divided by 2 so
207/5
Hence 207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
To learn more on Number system click:
https://brainly.com/question/22046046
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CAN SOMEBODY SOLVE EQUATION IM LOST
Answers
Answer:
2
- x -1
3
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Answers
Answer:
[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%
Step-by-step explanation:
Find the surface area of the prism.
Answers
Answer:
158 in²
Step-by-step explanation:
Surface area of a rectangular prism:
2(lw + lh + wh), where w is the width, l is the length and h is the height.
= 2((8 x 5) + (8 x 3) + (5 x 3))
= 2(40 + 24 + 15)
= 2(79)
= 158 in²
What is the equation of the trend line in the scatter plot?
Answers
Answer:
y=(x-1)
Step-by-step explanation:
Plot 1 goes from 0 to 8. There are 2 images above 5, 2 above 6, 4 above 7, and 5 above 8. Plot 2 goes from 0 to 8. there are 5 images above 1, 2 images above 2, 4 images above 3, 3 images above 4, 1 image above 5, 1 image above 6, and 1 image above 8.
Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers.
Highest mean:
✔ Plot 1
Highest median:
✔ Plot 1
Highest range:
✔ Plot 2
Highest interquartile ranges:
✔ Plot 2
Answers
Answer: the answer is 45
Step-by-step Step-by-step explanation:
so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45
Answer:
A, A, B, B
Step-by-step explanation:
The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answers
Answer:
Easy! The answer is $4,150
Step-by-step explanation:
The $350 is interest so we will take that away from the maturity value to get 4,150!
mark BRAINLIEST IF YOU THINK I HELPED
100 points! asap! Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answers
Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]
[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]
Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:
[tex]\implies 2x+2=-2x+14[/tex]
[tex]\implies 4x=12[/tex]
[tex]\implies x=3[/tex]
Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:
[tex]\implies y=2(3)+2=8[/tex]
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
100%
Đ
X
A doctor treated 24, 27, 31, 19, 26, 15, and 19 patients during the past 7 days.
Which is the median number of
patients treated by the doctor?
A 15
B. 19
C. 23
D. 24
E. 31
Answers
Answer:
C. 23
Step-by-step explanation:
Add then divide by 7
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?
Answers
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
integrate the following by parts |xcos x dx
Answers
[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]
cercaughters A mother says to her 5 years ago I 5 times as old as you were but 10 years Hence shall be only twice as old as you will find the posent age of mother T and daughter
Answers
Answer:
Daughter is now 10 The mother is 30
Step-by-step explanation:d
d=daugter
5d=mother
5d = 2d +5 +10
3d =15
d=5
5 years ago d=5 m=25
now d=10 m=30
in10 years d=20 m=40
Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )
Answers
Answer:
y = -2x + 16
hope this helped :)
- If the difference of 15 and a number is 5, what is the number?
Answers
Answer:
The difference of 15 and a number is 5 indeed 10 to be 15
Answer:
10
Step-by-step explanation:
Select True or False for each statement.
Statement True False
In the ordered pair (3, 5), the number 5 is the y-coordinate.
True – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
False – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
The origin has coordinates (0, 0).
True – The origin has coordinates ( 0, 0 ) .
False – The origin has coordinates ( 0, 0 ) .
The horizontal axis in a coordinate plane is the y-axis.
Answers
The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)
(0, 0) is the origin on a coordinate plane (TRUE)
y-axis is the horizontal axis on a coordinate plane (FALSE).
What is an Ordered Pair?An ordered pair is a set of numbers that represents the location of a point on a coordinate plane that has an x-axis (horizontal axis) and y-axis (vertical axis).
An ordered pair is given as (x, y). Therefore, the following statements given are matched as shown below:
The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)(0, 0) is the origin on a coordinate plane (TRUE)y-axis is the horizontal axis on a coordinate plane (FALSE).Learn more about ordered pair on:
https://brainly.com/question/1528681
Please help me with these 2 questions, I don’t really need explanations I just need straight forward answers ! The questions are linked below. 50 points
Answers
Answer:
1. The value of 5 is fifty thousand
2. The value of 6 is six thousand
Step-by-step explanation:
1. 8.156 million - 8,156,000
2. 6,521
^ 6000
There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 39.76 grams of this cereal
Answers
Step-by-step explanation:
28.4 g there are 110 calories
1 g there are 110/28.4 = 3.87 calories
39.76 g there are 3.87 × 39.76 = 153.87
calculate the social security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare)
cumulative earnings before this pay period: $409,100
pay amount this period: $8,800
Answers
Answer:
Several interpretations:
1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.
2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).
3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).
Step-by-step explanation:
The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).
Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.
Quick Edit:
My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/
How would I be able to solve all of these?
Answers
Answer:
I'm suggesting that you should read your books!!!
You should be more thoughtful...
Answer:
Part A) x = 6, 13, 22, 33
Part B)
Part ASome examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:
√(x + 3) = 3
√(6 + 3) = √9
x = 6
√(x + 3) = 4
√(13 + 3) = √16
x = 13
√(x + 3) = 5
√(22 + 3) = √25
x = 22
√(x + 3) = 6
√(33 + 3) = √36
x = 33
Part B
1. (6, 3)
2. (13, 4)
3. (22, 5)
4. (33, 6)
I hope this helps!
CO
8
6
4
N
Which function is graphed?
46
8
N
-8 -6 -4 -20
-2
-4
-6
-8
O A. y- *#4x23
[+ ,
1-x+4,52
Answers
Find the measure of the reflex angle, B.
A
75%
B
B = [?]°
Enter
Answer
Answers
Answer:
285
Step-by-step explanation:
I could be wrong but if i remember you subtract 75 from 360 which would be 285
i will give brainliest
PLEASE HELP!
Answers
Answer:
3/4
Step-by-step explanation:
It says Event Q is more likelier to occur than Event T⇒ P(T) = 1/2
⇒ P(Q) > P(T)
⇒ P(Q) > 2
A possible probability is :
P(Q) = 3/4Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.
Answers
Answer:
4131.38
Step-by-step explanation:
Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:
[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]
Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area
Answers
Answer:
4889.26m²
Step-by-step explanation:
[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]
A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?
Answers
Answer:
See below ↓↓
Step-by-step explanation:
Finding the radius
C = 2πr25 = 2 x 3.14 x rr = 25 / 6.28r = 3.98 cm ≅ 4 cmSurface Area
4πr²4 x 3.14 x 4 x 43.14 x 64200.96201 cm²Volume
4/3πr³ = 4πr² x r/3201 x 4/367 x 4268 cm³