PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Answers
Transformation involves changing the position of a shape
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](a) The sequence that maps both triangles
From the figure the coordinates of both triangles are:
[tex]A = (-5,0)[/tex]
[tex]B = (-2,1)[/tex]
[tex]C = (-4,2)[/tex]
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A = (5,0)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (4,2)[/tex]
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
[tex](x,y) \to (x,-1,y-2)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
(b) The ordered pair rule
In (a), we have:
[tex](x,y) \to (-x,y)[/tex] ---- reflection
[tex](x,y) \to (x,-1,y-2)[/tex] --- translation
Combine both transformations, so we have the following ordered pair:
[tex](x,y) \to (-x,-1,y-2)[/tex]
Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]
Read more about transformation at:
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Related Questions
how do you subtract -5000 from 263
Answers
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ?
Answers
Im good at math, what do you need help with?
this is the next question
Solve: 1/2÷0.2
Answers
Answer:
2.5
Step-by-step explanation:
PLEASE HELP URGENTLY!!
The sum of three numbers is 96 . The second number is 3 times the third. The third number is 9 more than the first. What are the numbers?
Answers
Answer:
12, 63 and 21 sum to 96
.....
7 is a factor of
a 28
b 16
c 11
d 4
Answers
Answer:
a) 28
Step-by-step explanation:
4(n-16)=16 this is my question and what I need help on
Answers
Answer:
n = 20.Step-by-step explanation:
4(n - 16) = 16=> 4n - 64 = 16=> 4n = 16 + 64=> 4n = 80=> n = 20Conclusion:
Therefore, n = 20.
Hoped this helped.
[tex]GeniusUser[/tex]
If the x axis is positive and the y is zero what’s quadrant or axis is it in?
Answers
Hope this helps!
Brainliest is much appreciated!
Calculator
What is the value of x
Answers
Answer:
71.8
Step-by-step explanation:
3’2x (8-5)
6’2+(4x3)
42-(14-12)
Answers
Answer:
1. 27
2. 48
3. 40
Step-by-step explanation:
3 to the power of 2 is 9 (3×3)
9×3=27. (8-5=3)
6 to the power of 2 is 36 (6×6)
36+12=48. (4×3=12)
42-2=40
4/5 of a dollar is how many cents?
Answers
Answer:
4/5 of a dollar is 80 cents.Step-by-step explanation:
1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.Conclusion:
Therefore, 4/5 of a dollar is 80 cents.
Hoped this helped.
[tex]GeniusUser[/tex]
The value of cents in 4/5 dollars would be 80 cents.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that;
1 dollar = 100 cents
Hence we get;
The number of cents in 4/5;
4/5 x 100
4 x 20
80 cents.
Therefore, 4/5 of a dollar is 80 cents.
To learn more about the measurement unit visit:
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Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
Answers
Answer:
51, 53, 55, 58, 60
Step-by-step explanation:
The minimum is the lowest value in the data set, that is 51
The maximum is the largest value in the data set, that is 60
The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
↑ middle
median = 55
The lower quartile is the middle value to the left of the median
51, 51, 53, 53, 54, 55
↑
Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53
The upper quartile is the middle value of the data to the right of the median
56, 58, 58, 58, 59, 60
↑
Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58
I need help asap!!
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Similar triangles that have a scale ratio other than 1 are not congruent triangles.
The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]
The scale ratio is given as: 5 : 2
And the corresponding sides are given as:
AB and DE.BC and EF.CA and FD.The above highlights mean that,
[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]
Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]
Read more about similar triangles at:
https://brainly.com/question/14285697
Plz help (MATH)...................
Answers
Answer:
2.8 pounds
Step-by-step explanation: For this one, I rounded the answer, but what you need to do is divide 20 by 7.
20/7 = 2.85714285714
2.85714285714 ≈ 2.8 pounds
Gordon types 2,584 words in 38 minutes.
Answers
Answer:
Gordon types 68 words per minute
Step-by-step explanation:
2584/38=68
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answers
I don't understand the question your asking
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
Answers
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
The two triangle shown below are similar triangles.
What is the value of d in meters?
Answers
Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?
Answers
Answer:
Apples cost 50 cents and bananas 25 cents.
please mark brainliest if this helped
Step-by-step explanation:
1) Assign variable (x,y) to apples and bananas.
x=apples
y=bananas
2) Write system of equations for Alice and Betty.
Alice: 4x+8y=4
Betty: 6x+10y=5.5
3) Use substitution, elimination, or graphing to solve for x and y.
x=0.5
y=0.25
a 16 ounce package of hamburger meat has 3% fat how much of the total package is fat
Answers
Multiply the total weight by the percentage
16 ounces x 0.03 = 0.48
0.48 ounces is fat
HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)
Answers
Answer: 1. 24
2. 32
3. 22
4. 16
5. 14
6. 34
7. 44
8. 30
9. 24
10. 50
Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest
Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.
Answers
The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.
The transformation rule is given as:
[tex](x,y) \to (-x,y)[/tex]
When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:
[tex]H'A'M' = (-x,y)[/tex]
So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.
This, in other words means that the y-axis bisects the line segment AA'.
Hence, the relation between the segment and the y-axis is (c)
Read more about reflection at:
https://brainly.com/question/1600006
Answer:
C. The y-axis is a bisector of the segment drawn.
Step-by-step explanation:
Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________
The distance between corresponding points in the image and pre-image is constant.
The orientation of points on the polygon is preserved by the transformation.
The angle measures between sides on the polygon are preserved by the transformation.
The distances between points on the polygon are preserved by the transformation.
Answers
Answer:
The last 2
Step-by-step explanation:
Danny buys,
1 loaf of bread for £1.20
1 bottle of milk for 70p
2 packets of cheese for £2.30 each packet
Danny pays with a £10 note.
He says,
“I should get £3.30 change.”
Is Danny correct?
You must show how you get your answer.
Answers
Answer:
Danny is incorrect.
Step-by-step explanation:
1 loaf of bread = 1.2
1 bottle of mil = 0.7
2 packets of cheese = 4.6
1.2+0.7+4.6 = 6.5
10-6.5 = 3.5
Danny is incorrect as he should be given £3.50 change instead of £3.30 change.
please help I don't understand
Answers
Answer:
104 m^2
Step-by-step explanation:
First find the area of the rectangle.
A = 10 * 8 = 80 m^2
Then find the area of the triangle
A = 1/2 bh = 1/2 (8) *6 = 24 m^2
Add the areas together
80+24 = 104 m^2
A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?
Answers
The price of the package of screws would be = $40
How to calculate the package of screws bought by the customers?The quantity of nails bought by the customer = 6 packages
The quantity of screw bought by the customer = 7 packages of screw.
The total amount of the whole package = $74.35
The total number of packages = 6+7 = 13
For screws = 7/13 × 74.35
= 520.45/13 = $40
Learn more about division here:
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Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))
Answers
(-1)2-7(-1)-9=-4
(-4)-2=-6
it’s -6
my Christmas present to you
Answers
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answers
Answer:
B. (1.8)/(30) = (x)/(45)
solve one step equation x - 10.5 = 2.5
Answers
Answer:
x = 13
Step-by-step explanation:
need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13
Simplify this expression
4X^2y^3 x 2x^3y^4
Answers
Answer:
8^5^7
Step-by-step explanation:
Multiply the numbers:
4X^2 y^3 x 2x^3 y^4
8^2 ^3 ^3 ^4
Combine Exponents:
8^2 ^3 ^3 ^4
8^5 ^3 ^4
8^5 ^3 ^4
8^5 ^7
