Answers
Answer:
first option
Translate seven left followed by mirror over y = 2
Step-by-step explanation:
The solution is Option A.
The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the triangle be represented as MNP
Now , the transformed triangle be STR
Now , the translation is given as
Step 1 :
The coordinates of triangle is MNP
M = M (-5 , 2 )
N = N ( - 8 , 5 )
P = P ( -2 , 4 )
Now , the translation of 7 units to the right will result in
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Step 2 :
The coordinates of the translated triangle M'N'P' is
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Now , on reflection of triangle M'N'P' by R = 2 , we get
S = S ( 2 , 2 )
T = T ( -1 , -1 )
R = R ( 5 , 0 )
Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2
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Related Questions
Answer the questions below.
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: /m
Answers
Answer:
63 m
Step-by-step explanation:
Perimeter is 276, 2L + 2W = 276, so L + W = 138
L = 75
138 - 75 = W
63 m
Need answer for the question please
Answers
Answer:
-7/4
Step-by-step explanation:
The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.
Answer:
— 7/4
Step-by-step explanation:
1) Find the slope of line A:
m=∆y/∆x
=(4—0)/(0+7)
= 4/7
2) When a line is perpendicular to another we have: mm' = — 1
(m' stands for slope of second line)
In this case m' is: m' = — 7/4
10. Which of the following is the best financial situation?
Answers
Answer:
Having enough to retire.
Step-by-step explanation:
The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.
If x = 9, what is the value of 6(x - 2)?
Answers
Answer: 42
6(9-2)
= 6 * 7
= 42
Answer:
6(9-2)
=6×7
=42 ans
Step-by-step explanation:
I think it help you I also you understand it
a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?
Answers
Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28
Given dataSample Space
Red mugs = 4
yellow mugs = 8
white mugs = 2
Sample Size = 4+8+2 = 14
We are going to assume the selection was done with out replacement
Hence the probability of selecting the first white mug is
Pr(W1) = 2/8 = 1/4
The probability of selecting the second white mug is
Pr(W2) = 1/7
Hence the probability of selecting two white mugs one after another
= 1/4*1/7
=1/28
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What does it mean to be an independent student? A. You must pick your own study topics and research them. B. You can set your own deadlines, within a fixed time frame. C. You are responsible for your own study schedule and organization. D. You are expected to work without extra help from a teacher or tutor.
Answers
Answer:
C
Step-by-step explanation
It makes the most sense
Answer:
check online for more information
Creshawna has $52 in her bank account. She sells a few of her games and makes $134. She deposits that amount into her bank account. How much money does Creshawna have in her bank account after she deposits $134?
$180
$186
$190
$196
Answers
I'm pretty sure it's $186
write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate you expression when s=2
Answers
Answer:
10.00 +4s .
u wanted expression , not answer.?
Step-by-step explanation:
Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6
Answers
Seven values on the number line above are marked with letters. Which letters represent integers?
Answers
help plslssssssssssssssss
Answers
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
Answers
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:
[tex]r = x^{2}+y^{2}[/tex] (1)
Where [tex]r[/tex] is the square distance function.
We can modify (1) as following:
[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]
[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]
[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]
[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
[tex]-4\cdot y +12 = 0[/tex]
[tex]y = 3[/tex]
Second derivative test
[tex]r'' = -4[/tex]
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].
Closest points: [tex](0, -1)[/tex].
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
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What fraction equals 15/21 with a denominator of 7
Answers
Answer:
5/49
Step-by-step explanation:
decimal form = 0.10
Answer:
5/49
hope it helps! stay safe as always!
A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?
Answers
Answer:
The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.
A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?
Answers
56 + 8x
Area of Rectangle = Length x Width
Area of Rectangle = 8(7 + x)
I need help understanding this
Answers
Step-by-step explanation:
I am sorry but I cannot see your question
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.
Answers
Answer:
so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)
y = -x -1 is parallel because it has the same slope and goes through the right point
Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?
y=70+27x
Answers
Answer:
he starts with 70 and $45-18=27 so he makes $27 to add to those $70
Step-by-step explanation:
Solve for x: one over four (4x + 15) = 24
A: 45
B: 207/4
C: 81/4
D: 9
Answers
Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answers
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form
15, 11 ,7, …
Answers
Answer:
This is the arithmetic sequence which has a common difference that equals to -4.
Step-by-step explanation:
An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.
A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.
________
Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.
11-15 = -4
7-11 = -4
Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.
Let me know if you have any question so regarding the sequence!
Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?
Answers
Average power output, in watts = 0.8103 watts
What is average power?The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.
It can be expressed by the following relation:
P=E/T
Given,
Energy consumed per mile = 93 calories
Time taken to cover 1 mile = 8 minutes
Energy consumed per minute = 93/8 calories
Average power = 93/8 = 11.625 calorie per minute
1 calorie per minute = 0.0697 watt
Average power output in watts = 11.625 × 0.0697
= 0.8103 watt
Hence, 0.8103 watt is the average power output in watt.
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Description of a turn for those who have never done math / for a child
Answers
Answer:
Step-by-step explanation:
1+1=2
2+2=4
3+3=6
4+4=8
5+5=10
Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.
PLEASE HELP Me
Answers
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Let the number be x
#11
[tex]\\ \sf\longmapsto x+6=20[/tex]
#12
[tex]\\ \sf\longmapsto x-7=4[/tex]
#13
[tex]\\ \sf\longmapsto x(x+1)=31[/tex]
#14
[tex]\\ \sf\longmapsto 2x+2=13[/tex]
#15
[tex]\\ \sf\longmapsto x-1=18[/tex]
#16
[tex]\\ \sf\longmapsto x^2+4=17[/tex]
#17
[tex]\\ \sf\longmapsto x^2/2=18[/tex]
#18
[tex]\\ \sf\longmapsto x+90/2=70[/tex]
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
Answers
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
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Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.
Answers
i hope thats right
Two side of a triangle have the following measures.
Answers
Answer:
add the two then subtract the two and put those answers in each box :)
Step-by-step explanation:
hope this helped! happy holidays!
how to make chicken, with rice ....
Answers
Answer:
put rice with chicken
Step-by-step explanation:
can someone please find the slope for this?
Answers
As you take two points the line passes though, then use the rise/run equation to find the slope or gradient
Divide £121 in the ratio 2:9.
Answers
is this one of your answer choice?