perform a glide reflection by translating ABC right 2, 4, then reflect across the y-axis. five the coordinates for the first image A' B' C'pre-image A(3,11) B(3,4) C(10,4)
Answers
The glide reflection that concerts the pre-image of the points:
A = (3, 11)
B = (3, 4)
C = (10, 4)
to the right 2 units is given by adding to the x coordinate 2 units. These points then become:
A' = (3 + 2, 11) = (5, 11)
B' = (3 + 2 , 4) = (5, 4)
C' = (10 + 2, 4) = (12, 4)
Related Questions
FILL IN THE BLANK eigenvalues and eigenvectors of a matrix (optional) 0 points possible (ungraded) let , ____ and ____, where unanswered_____- , where unanswered . therefore, is an eigenvector of with eigenvalue , and is an eigenvector of with eigenvalue .
Answers
Let A be a matrix, v and λ be vectors. Therefore, Av = λv, where v is an eigenvector of A with eigenvalue λ, and if there is another non-zero vector w such that Aw = μw, then w is an eigenvector of A with eigenvalue μ. Therefore, v is an eigenvector of A with eigenvalue λ, and w is an eigenvector of A with eigenvalue μ.
Allow a to be a matrix, and v and λ to be vectors. Consequently, av = λv, wherein v is a non-zero vector and λ is a scalar. This means that v is an eigenvector of a with eigenvalue λ.
Further, if there may be every other non-0 vector w such that aw = μw, then w is an eigenvector of a with eigenvalue μ. The eigenvectors and eigenvalues of a matrix are vital in lots of packages, including fixing systems of linear equations, studying dynamical systems, and studying facts using strategies along with main thing evaluation.
By computing the eigenvectors and eigenvalues of a matrix, we will benefit perception of its shape and conduct, and use these records to solve problems and make predictions.
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Juan and his children went into a movie theater and he bought $52.50 worth of bags of popcorn and pretzels. Each bag of popcorn costs $7.50 and each pretzel costs $3.75. He bought 5 more pretzels than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Juan bought.
Answers
Answer:
Juan bought 3 bags of popcorn and 8 bags of pretzel
Step-by-step explanation:
Given
\(x = popcorn\)
\(y = pretzels\)
\(Amount = \$52.50\)
Required
Solve graphically
First, we need to represent the cost as an equation.
If popcorn costs 7.50 per bag and pretzel costs 3.75 per bag
The cost is then represented as:
\(7.50x + 3.75y = 52.50\)
Next, we represent the quantity as an equation.
Bags of pretzel is 5 more than bags of popcorn
The quantity is then represented as:
\(y = x + 5\)
At this stage, we have:
\(7.50x + 3.75y = 52.50\)
\(y = x + 5\)
See attachment for graph
\(7.50x + 3.75y = 52.50\) is represented by the \(green\ line\) while the \(blue\ line\)represents \(y = x + 5\)
At the point of intersection of both lines, we have:
\((x,y) = (3,8)\)
This implies that;
Juan bought 3 bags of popcorn and 8 bags of pretzel
Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
Answers
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answers
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!
Answers
Answer:
y = 2x +5
X=2y + 5
X-5 =2y
X-5 / 2 = y
f-1 (x) = x-5/2
Step-by-step explanation:
Answer
This is correct for sure
Step-by-step explanation:
A piece of cloth is cut into three pieces and the smallest piece is 6 yards long. What was the original length of the cloth in yards before it was cut, if the ratio representing the three pieces is 25: 20: 15
Answers
Answer:
24 yards
Step-by-step explanation:
If the ratio is 25:20:15, we can assume that the pieces added together would equal 60. Not 60 yards, just 60 for now. 6 yards represents 15 in 25:20:15, and 15/60 = 1/4. So the piece that is 6 yards is 1/4 the length of the whole cloth. So in order to get the whole length, we multiply 6 by 4, which is equal to 24.
Help me please!!!!!!
Answers
Answer:5 35/36
Step-by-step explanation:
63 13/18 − 57 3/4 =?
Solving the whole number parts
63−57=6
Solving the fraction parts
13/18−3/4 is equal to 26/36 − 27/36
Combining the whole and fraction parts
6−1/36 = 5 35/36
Show that the sequence defined by
a1= 1
an+1 = 3-(1/an)
is increasing and an<3 for all n. Deduce that{an} is convergent and find its limit
Answers
Using Monotone Convergence Theorem, {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent
How is aₙ convergent and it's limitTo show that the sequence {aₙ} defined by a₁ = 1 and aₙ₊₁ = 3 - (1/aₙ) is increasing, we need to prove that aₙ < aₙ₊₁ for all n.
Let's first prove that aₙ < 3 for all n by induction:
Base case: For n = 1, a₁ = 1 < 3.
Inductive step: Assume aₙ < 3 for some arbitrary n. Then we have:
aₙ₊₁ = 3 - (1/aₙ) < 3 - (1/3) = 8/3
Since aₙ₊₁ is positive (because aₙ < 3), we can also write:
aₙ₊₁ = 3 - (1/aₙ) > 3 - 1 = 2
Therefore, we have:
2 < aₙ < 3 < aₙ₊₁
This shows that {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent by the Monotone Convergence Theorem.
To find the limit of {aₙ}, we can take the limit of both sides of the recursive definition:
limₙ→∞ aₙ₊₁ = limₙ→∞ (3 - (1/aₙ))
Since {aₙ} is convergent, we can replace limₙ→∞ aₙ with a to get:
a = 3 - (1/a)
Multiplying both sides by a, we get:
a² = 3a - 1
This is a quadratic equation that can be solved using the quadratic formula:
a = (3 ± √(3² + 4))/2
a = (3 ± √13)/2
Since aₙ < 3 for all n, we have:
a = (3 - √13)/2
Therefore, the limit of {aₙ} is (3 - √13)/2.
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Round 56.834 to the nearest tenth
Answers
Answer:
56.8
Step-by-step explanation:
8 is the tenth
numbers that are 4 or under stay the same
numbers that are 5 or above round up
Answer:
56.8
Step-by-step explanation:
When rounding to the nearest tenth you look at the number behind the decimal. And the number in the hundredths place if it is 4 or lower you keep it the same. If it is 5-9 you up it by one.
what's a quarter of 46.5
Answers
Answer:
11.625 or mixed number form 11 \(\frac{5}{8}\)
Step-by-step explanation:
divide 46.5 by 4
help plz rn fast fastvlook at pic!
Answers
Answer:
9/15/19
Step-by-step explanation:
Determine whether the pair of figures is similar.
2.8 m
11)
8.4 m
499
12)
88°
3.1 m
49° 4 m
9.3 m
12 m
439
PLS HELP
Answers
Answer:
The triangles are similar
Step-by-step explanation:
You first flip the first triangle so the hypotenuse is facing the bottom right like the second triangle and the 49 degrees would be matching the same side as the picture would depict
You can then use the equaation 43 + 49 + x = 180 to solve for the missing angle in the second right triangle.
92 + x = 180
x = 88
The degrees match up, you then have to compare the sides.
You can first check the ratios between the same sides of the different triangles.
2.8 : 8.4
4 : 12
3.1 : 9.3
all of these ratios would be simplified to a 1:3 ration, meaning all the sides are proportional, making the triangles similar.
Answer:
answered in comments :)
Step-by-step explanation:
what's 1+9 pls helpppppppp
Answers
5) dilation of 2 about the origin
(-2, 0), (2.1), K(1.-1)
A) (-0.5, 0), (0.5, 0.25), K(0.25, -0.25)
B) I(-4,0), (4,2), K 12, -2)
C) 11-5.0), (5,2.5), K (2.5, -2.5)
D) 7(-3,0), J13, 1.5), K (1.5, -1.5)
Answers
Answer:
the answer is c I did it before but I can't explain step by step I hope it helps u
The grocery store charges $6.85 for 5 bags of potatoes. If someone bought 7 bags of potatoes, how much would it cost them? *
Answers
Answer:
9.59
Step-by-step explanation:
You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)
Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
Answers
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
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students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answers
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10
Answers
Answer:
1543/100 is the answer
Answer: 15 43/100
1. Split the number into its whole number component and decimal component.
15.43 = 15 + 0.43
2. For the decimal component, 0.43 is the same as 43/100.
43/100
3. Combine the whole number component with the fraction.
15 43/100
Simplify 310x + 16y + 310x + 56y ( i need help)
Answers
Answer:
\(620x+72y\)
Step-by-step explanation:
\(310x+16y+310x+56y \\ \\ =310x+310x+16y+56y \\ \\ =620x+72y\)
Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)
Answers
Based on the relative frequency table that compares nonfiltered and filtered cigarettes, we can infer that cigarette filters are effective because they reduce larger tar amounts.
How can the relative frequency table be drawn?Tar (mg) Relative Frequency Relative Frequency
(nonfiltered) (filtered)
6 - 11 0/ 25 = 0% 1 / 25 = 4%
12 - 17 0/ 25 = 0% 1 / 25 = 4%
18 - 23 2/ 25 = 8% 5 / 25 = 20%
24 - 29 1/ 25 = 4% 18 / 25 = 72%
30 - 35 13/ 25 = 52% 0 / 25 = 0%
36 - 41 6/ 25 = 24% 0 / 25 = 0%
42 - 47 3 / 25 = 12% 0 / 25 = 0%
Total 25 / 25 = 100% 25 / 25 = 100%
From the table, we can see that the unfiltered cigarette has higher tar amounts which means that cigarette filters are effective in reducing tar content.
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please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
Answers
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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What graph shows the solution to this system
y >= 3x + 2
-4x + 3y > 12
(Less than or equal to: >=
Answers
Answer:
C
Step-by-step explanation:
first
let 3x-y= -2
here after rearranging fin the different values of x and y w. r. t the equation then shade the upper region of the line
similarly do with the second one equation and then mark the line as dotted and shade the below part of the equation of the line and then find the common shaded area
two 6 sided dice are rolled. What is the probability of rolling a number that is not an odd number?
Answers
Answer:1/4, 25%
Step-by-step explanation:
even number: 2,4,6
odd umber 1,3,5
even number probability when 1 dice is rolled: 3/6 = 1/2
2 dice is rolled: 1/2*1.2 = 1/4 = 25%
what is a bisection
Answers
Answer:
this is the intersecting of lines
Answer:
gogel chrome. will answer faster than this app
Can anyone help please. Please show work too
Answers
The solutions to the system of equations are x = 2 and 4
How to determine the solution to the system of equationsFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 3
g(x) = 1/(x - 3)
The solution to the system of equations implies that
f(x) = g(x)
So, we have
x - 3 = 1/(x - 3)
Cross multiply the equation
This gives
(x - 3)² = 1
So, we have
x - 3 = ±1
Add 3 to both sides
x = 3 ± 1
So, we have
x = 2 and 4
Hence, the solutions to the system of equations are x = 2 and 4
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The points (12,33) and (28,77) slope is
Answers
44/16
Answer
11/4
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,142 was collected on the sale of 1,330 tickets. How many of each type of ticket were sold?
The basketball game sold
______adult tickets and
_______student tickets.
Answers
Answer:
453 adult tickets and 877 student tickets were sold.
Step-by-step explanation:
Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:
5 - 1 = 4
1330 x 1 = 1330
3142 - 1330 = 1812
1812/4 = 453
1330 - 453 = 877
877 x 1 + 453 x 5 = X
877 + 2265 = X
3142 = X
Therefore, 453 adult tickets and 877 student tickets were sold.
Find the slope and y intercept for each table, and then write an equation
Answers
Answer:
1. y=2x
2. y= X+3
3. y= 2x-1
4. y=5-2x
5.
A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?
Answers
Answer:both a and b are correct
Step-by-step explanation:
So far this semester, Franco is averaging a score of 70.7 points on math tests, which is 1% higher than his average last semester. What was the average of his scores last semester?
help me pleasee