Answer:
The correct option is;
d. Reflecting about the line y = -1, followed by translating 8 units to the right
Step-by-step explanation:
The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)
By reflecting across the line y = -1, we get
A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)
B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)
C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)
By translating 8 units to the right get
A(-4, 3) by translation 8 units right gives A prime (4, -5)
B(-1, 5) by translation 8 units right gives B prime (7, -7)
C(-1, 2) by translation 8 units right gives C prime (7, -4)
Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;
1) Reflection across the line y = -1
2) An horizontal translation 8 units to the right get.
Transformation involves changing the size and position of a shape.
The sequence of two transformations are: (d). reflecting about the line y = -1, followed by translating 8 units to the right
The coordinates of ABC are given as:
[tex]\mathbf{A =(-4,3)}[/tex]
[tex]\mathbf{B =(-1,5)}[/tex]
[tex]\mathbf{C =(-1,2)}[/tex]
First, the coordinates of ABC are reflected across the line [tex]\mathbf{y =-1}[/tex]
The transformation rule is:
[tex]\mathbf{(x,y) \to (x,-y -2 \times 1)}[/tex]
So, we have:
[tex]\mathbf{A' = (-4,-3 -2 \times 1)}[/tex]
[tex]\mathbf{A' = (-4,-5)}[/tex]
[tex]\mathbf{B' =(-1,-5 - 2 \times 1)}[/tex]
[tex]\mathbf{B' =(-1,-7)}[/tex]
[tex]\mathbf{C' =(-1,-2 -2 \times 1)}[/tex]
[tex]\mathbf{C' =(-1,-4)}[/tex]
Next, the shape is translated 8 units right.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x + 8, y)}[/tex]
So, we have:
[tex]\mathbf{A" = (-4 + 8, -5)}[/tex]
[tex]\mathbf{A" = (4, -5)}[/tex]
[tex]\mathbf{B" =(-1+8,-7)}[/tex]
[tex]\mathbf{B" =(7,-7)}[/tex]
[tex]\mathbf{C" =(-1+8,-4)}[/tex]
[tex]\mathbf{C" =(7,-4)}[/tex]
Hence, the sequence of two transformations are:
(d). reflecting about the line y = -1, followed by translating 8 units to the right
Read more about transformations at:
https://brainly.com/question/13801312
i need help please. thanks!
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
8x + 2 + 70 + 60 = 180
Step 2: Solve for x
Combine like terms: 8x + 132 = 180Subtract 132 on both sides: 8x = 48Divide 8 on both sides: x = 6And we have our final answer!
Last year during the hurricane season the amount of rain that fell on the texas gulf coast in october was 14 inches which was 3 1/2 times more than the rainfall during the month of september ?
Given :
Last year during the hurricane season the amount of rain that fell on the Texas gulf coast in October was 14 inches which was 3 1/2 times more than the rainfall during the month of September.
To Find :
Amount of rainfall in September.
Solution :
Let, amount of rainfall in September is x.
It is given that rainfall in October is 3 1/2 = 7/2 times of september.
So,
[tex]\dfrac{7}{2}x=14\\\\x = 4\ inches[/tex]
Therefore, rainfall in October is 4 inches.
Hence, this is the required solution.
What equation is graphed in this figure?
A. y−4=−13(x+2)
B. y−3=13(x+1)
C. y+2=−3(x−1)
D. y−5=3(x−1)
Answer:
c. [tex] y + 2 = -3(x - 1) [/tex]
Step-by-step explanation:
By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.
Using two points, (1, -2) and (0, 1),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3 [/tex]
m = -3
Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in [tex] y - y_1 = m(x - x_1) [/tex].
Thus, we would have:
[tex] y -(-2) = -3(x - 1) [/tex]
[tex] y + 2 = -3(x - 1) [/tex]
The equation that is graphed in the figure is:
✔️[tex] y + 2 = -3(x - 1) [/tex]
Juan and Dylan are selling bottled water. Juan sold 4 bottles for every 6 that Dylan sold. Dylan sold 16 more bottles than Juan. How many did each boy sell?
Answer:
Dylan sold 48 bottles
Juan sold 32 bottles
Step-by-step explanation:
The ratio of bottles sold is;
J:D = 4:6
Dylan sold 16 more than Juan
That means d = j + 16
so;
j/j + 16 = 4/6
6j = 4(j + 16)
6j = 4j + 64
6j - 4j = 64
2j = 64
j = 64/2
j = 32
d = j + 16
d = 32 + 16
d = 48
Factor completely: 1-1/8p^3
Answer:
the answer is on the picture
Step-by-step explanation:
a = 1 and b = [tex]\frac{1}{2}p\\[/tex]
(1- [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)
Write an equation in slope-intercept form of the line that passes through the given points.
y=
Answer:
[tex]y=\frac{1}{3}x-3[/tex]
Step-by-step explanation:
Slope is 1/3 and the y intercept is (0,-3), if you plug these answers into slope intercept form (y=mx+b) you get this answer
Among us?
Dndkxjdjjdskskskdkx what’s 5*5-8
Answer:
17
Step-by-step explanation:
5×5-8
5×5= 25
25-8=17
help me pls i need this done so i pass
Answer: b.
Step-by-step explanation:
Factor 6c - 8d
help please!
Answer:
6c - 8d = 2 (3c - 4d)
Step-by-step explanation:
Factoring
To factor a polynomial, we must find the Greatest Common Divisor (GCD) among all its terms.
The expression to factor is 6c - 8d.
The GCD is found by factoring all terms:
6c : 2,3,c
8d : 2,2,2,d
And take the common divisor between the coefficients and the variables
GCD=2
Thus, the factorization is:
6c - 8d = 2 (3c - 4d)
-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3
Answer:
-1.48148148
Step-by-step explanation:
-7 x -8 = 56
-7 x -4a = 28a
25-56=-31
27a/-31
a=-1.48148148
i need help with this pls
Answer:
Function 1 is linear
Step-by-step explanation:
A linear is a straight line on the graph.
What is 1+2333333366666666+55666666666666655555555555587777777777777777777777777777777777799999999999999999+4664644646646=?
Answer: 5.5666667e+79
:)
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes lest in the game. If each half is 45 minutes long, how many minutes did Evelyn play?
Answer:
The number of minutes Evelyn played in the second half.
Step-by-step explanation:
Simplify
3x + 5 + 2x - 4
Answer:
5x+1
Step-by-step explanation:
Use the diagram to find the measures of each angle. Make your thinking visual. Explain your
reasoning.
decide whether the sequence Is a arithmetic, geometric, or neither 5,1,-3,-7
Answer:
Arithmetic
Step-by-step explanation:
5-4=1
1-4=-3
-3=4=-7
Find the total perimeter of the composite figure.
>30 in
Plz HURRY
Answer:
100
Step-by-step explanation:
because if 3 circles wide is 30 in then 2circles wide is 20 and 30+30+20+20 =100
-4,-7 moved 90 degrees clockwise
go math chapter 4 riview
Answer:
OKAY
Step-by-step explanation:
Answer:
Okay
Step-by-step explanation:
22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.
Answer:
519
Step-by-step explanation:
We know the admission for adults is $22, and the kids ticket is 5 less.
22 - 5 = 17
now we know the kids ticket is $17
12 adult tickets - 22 x 12 = 264
15 children - 15 x 17 = 255
264 + 255 = 519
graph the function. label the vertex and axis of symmetry
f(x) = -6x^2 - 4x - 5
Answer:
Vertex is (-1/3, -13/3)
Axis of symmetry is x = -1/3
Step-by-step explanation:
For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k
Vertex form for this equation is:
Y = -6(x + 1/3)^3 - 13/3
To find the vertex, the formula is (h,k)
So, ( -1/3, -13/3)
When would you expect the experimental probability of an event to be closest to its theoretical probability?
a. When the results of 10 trials were used in C. When the results of 100 trials were used in
calculating the theoretical probability
calculating the experimental probability
b. When the results of 10 trials were used in d. None of the above, because the experimental
calculating the experimental probability probability is unrelated to the theoretical
probability
Answer: C -when the results of 100 trials were used in calculating the experiment probability
Step-by-step explanation:
Took the assessment right now
Answer:
Step-by-step explanation:
I will give brainliest
A. 2x-1+3x=0
B. 5x-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Rewrite one side (or both) by combining like terms
(Choice D) Rewrite one side (or both) using the distributive property
Gavin drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.
Answer:
8.0 litersStep-by-step explanation:
The question is not well-formatted, this is supposed to be the correct format
Gavin drank 4.5 liter of water Monday before going jogging. He drank 2.3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.
Given
we are told that he first drank 4.5 liters of water before jogging
after jogging he drank 2.3 liters
Required
Total amount of water drank
=4.5+3.5
=8.0liters
Find the total cost to the nearest cent. $44.90 Jacket; 4.5% sales tax
PLZ!!!!!!!!!!!!!! Hurry!!!!!!!!!!
Answer:42.8795
Step-by-step explanation: because their is a easier way. $44.90 - 4.5%=42.8795 i hope this helps you .
HELP I will give Brainliest!
Find the measure of the angle indicated.
Answer:
45
Step-by-step explanation:
The price for chips have increased by 12% in recent years.If the approximate price for chips today is 2.50, how much was original price before the increase?
Answer:
Approximately $2.232
Step-by-step explanation:
Given that:
Percentage increase in Price of chips = 12%
Approximate price of chips today = $2.50
Original price before the increase :
Let original price = y
(Original price) + (12% of original price) = approximate price today
y + (12% of y) = $2.50
y + 0.12y = 2.50
1.12y = 2.50
Divide both sides by 1.12
1.12y / 1.12 = 2.50 / 1.12
y = 2.2321428
y = $2.232
Hence, original price of chips is approximately $2.232
I really need help with these two questions ASAP
Answer:
22) 7d+ 4d-23y
=11d -23y
25) =n-6t
The math says expand 5(2-7x) what is the answer
Step-by-step explanation:
in my opinion
5(2- 7x)
5×2 - 5×7x
= 10-35x
The number of workers, f(x), needed to complete a building is given by the function below where x represents the number of floors in the building.
Select the correct statement.
When f(3) = 18, the 3 represents the the number of workers needed and the 18 represents number of floors.
When f(3) = 18, the 3 represents the number of floors and the 18 represents the number of workers needed.
When f(4) = 48, the 4 represents the number of floors and the 48 represents the number of workers needed.
When f(4) = 48, the 4 represents the the number of workers needed and the 48 represents number of floors.
Answer:
When f(4) = 48, the 4 represents the number of floors and the 48 represents the number of workers needed.
Step-by-step explanation:
Just took the test