What transformations were applied to ABCD to obtain AB'C'D?
A. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units left
B. Rotate 90 degrees counterclockwise about the origin, then
translate 3 units left
C. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units right
D. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units left
Answers
Answer: The answer is B
Step-by-step explanation:
The transformation applied to A'B'C'D' is rotating the quadrilateral by 90 degrees counterclockwise about the origin, then translating 3 units left
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the quadrilateral be represented as ABCD
Now , the transformed quadrilateral is A'B'C'D'
And , coordinates are A ( 1 , 5 ) , B ( 1 , 9 ) , C ( 5 , 9 ) and D ( 5 , 5 )
Now , the square is rotated by 90° counterclockwise and translated 3 units to the left
So , 90° counterclockwise rotation: (x,y) becomes (-y,x)
The coordinates are A' ( -5 - 3 , 1 ) , B' ( -9 - 3 , 1 ) , C' ( -9 - 3 , 5 ) and D' ( -5 - 3 , 5 )
The coordinates are A' ( -8 , 1 ) , B' ( -12 , 1 ) , C' ( -12 , 5 ) and D' ( -8 , 5 )
Hence , the quadrilateral is rotated by 90° counterclockwise and translated 3 units to the left
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Related Questions
According to a survey of workers, 2/20 of them walk to work, 5/20 bike, 3/20 carpool, and 10/20 drive alone.
% of workers walk
% of workers bike
% of workers carpool
% of workers drive alone
Answers
Answer:
% of workers walk
10%
% of workers bike=
25%
% of workers carpool
15%
% of workers drive alone=
50%
Step-by-step explanation:
if you divide them you get the answer
like ex
2/20 is actually 2÷20 so you get 0.10 which is 10%
and if you add them all they equal to a 100 percent
Find three ratios equivalent to 4/7
Answers
If two ratios have the same value when simplified, then they are called Equivalent Ratios.
Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.
As we want 3 equivalent ration in higher terms we will multiply it
4 : 7
by multiply with 2
4* 2 : 7* 2
8 : 14
by multiply with 3
4* 3 : 7* 3
2 : 21
by multiply with 4
4* 4 : 7* 4
16 : 28
you can multiply with any nonzero number
Hope this helped!
Have a great day!
(-2, 7) and (5, -8)
As a slope
Show work please
Answers
Slope: -15/7
Step-by-Step Explanation:
To find the slope if two points, you use the formula (y2 - y1)/(x2 - x1) where the first set of points is (x1, y1) and the second set of points is (x2, y2). After taking in these points, we can plug them into the formula.
((-8) - 7)/(5 - (-2)
Simplify:
-15/7
Which graph shows a dilation?
Answers
Answer:
It should be the 2nd one.
3. what is the sum of 1/9, 2/3, and 5/18?
a. 19/18
b. 8/30
c. 12/9
d. 4/15
Answers
Answer:
D due to the calculation conducted
The price of a car is £21500 before it is reduced by 11%. How much does it cost after the reduction?
Can u say how u did it please
Answers
Answer: god
Step-by-step explanation:
8) Ann planned to spend 13 hours to cook a meal. She finished the
cooking in 11 hours instead. How much earlier did she finish the
cooking?
Answers
Answer:
She finished 2 hours earlier.
Step-by-step explanation:
Subtract 13 by 11 to get the answer of 2.
Hey , I need some help doing this question so just let me know
Answers
Answer:
too freaking small dude
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90*1/6=15
90-15=75
75*1/3=25
75-25=50
Acelynn borrows $1337 to buy a four-wheeler. The annual
intrest rate is 4% for the 14-year loan.How many intrest
will she payfor the money borrowed?
Answers
Answer:
$748.72
Step-by-step explanation:
Multiply 1337 times 4%
4% = 0.04
1337 x 0.04 = 53.48
Multiply the product by the amount of years -
53.48 x 14 = 748.72
She will pay back $748.72 intrest for the money borrowed.
The interest rate is 4%. So, it can be written as 0.04
$1337 × 0.04 × 14 = 748.72
So, she'll pay $748.72 interest for the borrowed money...
If it is November, what month will it be in 1000 months?
i need an explanation
Answers
Answer:
1000 months after any November it would be the month of march, as 1000 months is 83 years and 4 months.
Find the slope of the line that passes through (0,-1) (2,3)
Answers
Answer:
b. 2
Step-by-step explanation:
(0,-1) (2,3)
y2-y1/x2-x1
3-(-1)/2-0
4/2
2
can somebody please help me
Answers
Answer:
$57,000 is the total cost of that truck
PLEASE HELP DUE SOON!!
Tyler spends a Winter day recording the temperature once every three hours for science class.
am, the temperature was -1.8°F. Between 9am and noon, the temperature rose 5°F. Between n
and 3pm, the temperature dropped 18.1°F. Between 3pm and 6pm, the temperature decreased
9.9°F. What was the temperature at 6pm? Write a number sentence(s) first before using
calculator to show what you're going to do.
Answers
Not the answer: I hope you do well and keep on trying!!
Help me pleaseeeeeeeee
Answers
Answer:
False
Step-by-step explanation:
No because for 2 or more radical fractions to become one you either have to multiply or divide no add or subtract
Hope this helps!
What is the measure of B?
A. 25°
B. Cannot be determined
C. 750
D. 60°
Answers
Hope this helps!
a 12 oz cup costs $4.25, a 16 oz cup costs $4.95 and a 20 oz cup costs $5.25. Which is the better deal?
Answers
Answer:
The 12 ounce cup
Step-by-step explanation:
Just divide the cup size with its price and the lowest number is the best deal
Which inequality correctly compares One-half, Three-fourths, and Two-thirds?
Answers
Answer:
3/4<1/2<2/3
Step-by-step explanation:
Solving equations:
(a) 5x - 9 = 3x + 3 (b) x + 6 = 34 - x
(c) 6x - 8 = 2 - 5
Thankyou.
Answers
Answer:
a ) 5x - 9 = 3x + 3
5x - 3 = 3+9
2x = 12
x = 12/2
x = 6
b) x+6= 34-x
x+x = 34 - 6
2x = 28
x = 28 / 2
x = 14
c) 6x - 8 = 2 - 5
6x - 8 = - 3
6x = - 3 + 8
6x = 5
x = 5/6
Step-by-step explanation:
a. x=6
b. x=14
c. x=-0..0625
Use the following function rule to find f(2).
f(x) = 4^x − 4
f(2) =
Answers
Answer:
12
Step-by-step explanation:
4^2 -4
16-4
12
you basically replace x with the number
Fill in the blank
csc x cotx(1 - cos ^2 x)= ____x
Answers
Answer:
The CORRECT answer is cos
Step-by-step explanation:
It would read csc x cotx(1 - cos ^2 x)=cosx
Hope this helps!!!
Please give me brainliest!!
Have a GREAT day and remember to take care of yourself!
The required trigonometric function is cos x.
Given that cosec x cot x [tex](1-cos^{2}x )[/tex].
By using trigonometric identities [tex]cos^{2}x + sin^2x=1[/tex],
that gives [tex]1-cos^2x=sin^2x[/tex]. -----(1)
By using the trigonometric functions,
cosec x = [tex]\frac{1}{sin x}[/tex] -------(2)
cot x = [tex]\frac{cos x}{sin x}[/tex] -----------(3)
By substituting equation 1, 2 and 3 in the given expression,
That implies, cosec x cot x [tex]sin^{2}x[/tex] = [tex]\frac{1}{sin x}[/tex] × [tex]\frac{cos x}{sin x}[/tex] × [tex]sin^2 x[/tex]
On algebraic simplifying gives,
cosec x cot x [tex]sin^{2}x[/tex] = [tex]\frac{cos x}{sin^2 x}[/tex] × [tex]sin^2 x[/tex]
On simplifying trigonometric functions gives,
cosec x cot x [tex]sin^{2}x[/tex] = cos x.
Hence, the required trigonometric function is cos x.
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Is 4/5 : 1/10 equivalent to 1/5 : 1/40
Answers
Answer:
yes
.............................
Answer:
yesStep-by-step explanation:
Is 4/5 : 1/10 equivalent to 1/5 : 1/40
4/5 : 1/10 =
4/5 * 10 =
4 * 2 =
8
1/5 : 1/40 =
1/5 * 40 =
40 : 5 = 8
what is y = -5/4x + 2 and pleasee show mee the graph of this slope
Answers
Answer:
but remember the numerator is the rise and the denominator and the +2 is the y intercept
At the store, a bag of `4` avocados costs `\$2`. How much does each avocado cost?
Answers
If at the store, a bag of 4 avocados costs $2, then cost of each avocado is $2.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
At the store, a bag of 4 avocados costs $2.
We need to find the cost of each avocado.
Just we need to do the division operation.
We have to split 4 avocados to two equal parts.
Four divided by 2.
Here four is the Divisor and 2 is the dividend.
4/2
2
Hence each avocado cost is $2.
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Pls help on this Question
Change 7 out of 50 to a percentage
Answers
Answer: 14%
Step-by-step explanation: divide 50 by 7 then multiply by 100
Answer:
7 out of 50 is 14 percent.
Step-by-step explanation:
Hope this helped you! Have a great day!
A true-false test has 10 questions. If Lisa answers all
questions by guessing, what is the probability of obtaining 8
or 9 correct answers?
Answers
999999%
Step-by-step explanation:
Determine a relationship between the x- and y-values. Write an equation.
Answers
Answer:
no hablo english perra
Step-by-step explanation:
Answer:
y = x - 5
Step-by-step explanation:
(1,-4) and (2,-3)
Slope= (-3- - 4)/2-1) = 1/1 = 1
Point (1,-4)
y-intercept = y - (slope)(x)
y-intercept: -4 - (1)(1) = -4 -1 = -5
At a local grocery, 26-ounces of a sport drink costs $1.30. What is the price per ounce?
A. $0.03
B. $0.05
C. $0.30
D. $2.04
Answers
here is the answer the show
Answers
Answer:
300 or either 2²×3×5² im not sure
Which numbers are irrational numbers?
Select each correct answer.
1.33
V20
TT
V196
Answers
Answer:
20−−√ Is a irrational number
TT is a irrational number
Step-by-step explanation:
Solve the math problem
Answers
Answer:
-2/3
Step-by-step explanation:
