parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answers
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
Learn more here:
https://brainly.com/question/19712059
https://brainly.com/question/20271313
https://brainly.com/question/17597117
Related Questions
plsss help me with this:(((
Answers
Answer:
First we need our slope equation
Y₂-Y₁/X₂-X₁
So we have our equation now lets plug it in
-9+2/-4-3 (we make it a plus for -9+2 because the two minuses cancel out).
So now we have -7/-7 which is 1 because -7 divided by itself is one. Thereby your answer is A. 1
Same thing for question 12
1-5/2-4
-4/-2 which is 2 because -2 goes into -4 two times so your answer is A. 2
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answers
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
Does anyone else have people like these comments this ? I can’t report them either
Answers
Answer:
yes and i hate it, you cant report some of them cause they get deleted automatically.
Step-by-step explanation:
9a - 3d =3
-3a + d = -1
Answers
Answer:
a=\frac{1+d}{3}
Step-by-step explanation:
What is 1200 over 480 in mixed number
Answers
9514 1404 393
Answer:
2 1/2
Step-by-step explanation:
1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2
Write a possible polynomial function in factored form with roots 0, -2, and 7. Group of answer choices
f(x)=(x+1)(x+2)(x−7)
f(x)=x(x+2)(x−7)
f(x)=x(x−2)(x+7)
f(x)=(x+2)(x−7)
Answers
Answer:
2nd option
Step-by-step explanation:
Given x = a is a root of a polynomial function then (x - a) is a factor
Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are
(x - 0) , (x - (- 2) ) , (x - 7) , that is
x , (x + 2) , (x - 7)
The polynomial function f(x) is then the product of the factors, so
f(x) = x(x + 2)(x - 7)
Please help me this is due please help
Answers
Step-by-step explanation:
so levt's label the video games as "P"
if 6P=207.54$
1P= X
1P × 207.54$ = 6P × X
1P × 207.54$ = 6P × X => P eliminates P on the right side
6P 6P. => 6P eliminates 6P on the left side
207.54$ = X
6
X = 34.59$
Step-by-step explanation:
Let the cost of 1 video game = x
6 video games = $207.54
1 video game = x........cross multiply
6x = 207. 54............ divide both sides by 6
x = 34.59
therefore, 1 video game costs $34.59
can someone answer this
Answers
Answer:
b.d-6 that's the correct answer
Answer:
it is a
Step-by-step explanation:
Solve the equation 4x^2+36=0
Answers
Answer:
it have no answer in real number(but it have in complex number if you know)
Step-by-step explanation:
4x^2+36=0
4x^2=-36
(if you know complex numbers see this: x^2=-9 then
[tex]x = \frac{ + }{} 3i[/tex]
)
Help me with this questionnnnn
Answers
because 26.91-1.71 = 25.2/24 = 1.05
Please solve this problem
I really want the answer
please give the correct answer
Answers
Answer:
Step-by-step explanation:
Use PEDMAS
125 ÷ (-5) * (-4) - 100 = (-25) * (-4) - 100
= 100 - 100
= 0
Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.
Answers
Gabriel has 4 partners.
When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.
Above explaination is awesome!
Brent went for a bicycle ride. The clocks show his start time and his
end time. How long did Brent ride his bicycle?
Answers
Answer:
He rode his bicycle for 40minutes
Hope it helps:)
HELP HELP WILL MARK BRAINLIEST
Answers
Answer:
b. 10a³ - 11a - 3
Step-by-step explanation:
1. Expand 3(a³ - 2a - 5)
= 3a³ - 6a - 15
2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15
7a³ + 3a³ = 10a³
-5a + -6a = -11a
12 + -15 = -3
3. Answer: b. 10a³ - 11a - 3
Mr. Johnson is picking up 24 balls after recess and putting them in bins for the next class. He wants to put the same number of balls into each bin. What four different ways could he group the balls?
Answers
plz help my grade went down
Answers
Answer:
Slope = -4
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:
Transform the equation into its slope-intercept form, y = mx + b:
x - 4y = - 12
x - x - 4y = - x - 12
-4y = -x - 12
Divide both sides by -4:
[tex]\frac{-4y}{-4} = \frac{-x - 12}{-4}[/tex]
y = ¼x + 3 ⇒ (This is the slope-intercept form of the given standard equation, x - 4y = - 12).
Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:
(¼) (-4) = -1
Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.
Expand the following
Answers
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
The velocity of a moving body is given by the equation V = 12t – 6t2. For what
value of t is the velocity greatest?
Answers
Answer:
greatest velocity 6
Step-by-step explanation:
v=12t-6t2
dv/dt=0
12-12t=0
t=1
v at t=1=12-6=6
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.
a) Find the length of the side of each case
b) Is the length of the table enough for the 3 cases? Explain
c) Is the width of the table enough for the 3 cases? Explain
Answers
Answer:
A is 30 inches
b is Yes
c
Step-by-step explanation:
the quotient of 8 and y
Answers
Answer:
"The quotient of 8 and y" is written as the following algebraic expression:
8÷y
Where is the velocity positive?
х
C D
E
B
А
F G
A. B-E
B. C-D
C. A-C
D. B & E
Answers
Answer:
A-C
Step-by-step explanation:
Positive velocity means the graph is going up. Hope it helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Can someone please help me with this question.
Thank you.
Answers
Answer:
okay so..
Given
<2 = 110°
• <2 = <4 so <4 = 110°
Step-by-step explanation:
Solution
• <4 is equal with it's front facing angle(the angle next to <1) let's call that angle <x
<4 = <x = 110°
<x + <1 = 180°
110° + <1 = 180°
<1 = 180° - 110°
<1 = 70°
• <4 + <3 = 180°
110° + <3 = 180°
<3 = 180° - 110°
<3 = 70°
I will give brainliest to first person who answers this question.
Answers
How to write sin and cos and all?
Like should they be in first letter uppercase, or whole lowercase?
My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....
Answers
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answers
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
Read more about sector and circle at:
https://brainly.com/question/16736105
#SPJ6
Which of the following is a function equivalent
[tex]f(x) = 4 {(1.8)}^{2x} [/tex]
a.
[tex]f(x) = 4 {(3.24)}^{x} [/tex]
b.
[tex]f(x) = 4(3.24x)[/tex]
c.
[tex]f(x) = {12.96}^{x} [/tex]
d.
[tex]f(x) = {51.84}^{x} [/tex]
Answers
Answer:
The correct result would be f(x) = 4(3.24)x.
Step-by-step explanation:
20x+75=35x+30 help
Is due tomorrow
Answers
Answer:
[tex]x[/tex] = [tex]3[/tex]
Step-by-step explanation:
Use an Algebra Calculator
answer is x=3 , formula is in the attachment
please solve this fast
Answers
Step-by-step explanation:
shape BCD is an isosceles triangle meaning the base angles will be the same.
CA is a straight line meaning that it is 180
the sum of angles in a triangle always is 180
so
180-36= 144
to find x you need to half 144 as it is the sum of the base angles of the isosceles triangle.
144/2= 72
x=72
the angle just below y is also 72.
as CA is a straight line,
180-72= 108 giving you the answer for y
y= 108
so to make the answer clear
x= 72
y= 108
hope that helped! :)
if you would like to give me a brainliest feel free as im nearly to the end of my goal.
Bob spent x amount on food. Bill spent x+20, and John spent 3x-2. If bill and John spent the same amount of money, how much dud bob spend?
Answers
[tex]\\ \sf\longmapsto x+20=3x-2[/tex]
[tex]\\ \sf\longmapsto 3x-x=20+2[/tex]
[tex]\\ \sf\longmapsto 2x=20[/tex]
[tex]\\ \sf\longmapsto x=10[/tex]
Bob spent 10$
by which rules are these triangles congruent?
A. AAS
B. ASA
C. SAS
D. SSS
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The criteria used to prove the given triangles congruent is :
AAS