Name: Gabriela Lopez Date: Bell: Directions: Graph and label each figure and its image Give the new coordinates. Square BCDE with vertices B(-6,7),C(-2,6), D(-3,2), and E(-7,3) in the y-axis. Trapezoid JKLM with vertices J(-4,3),K(-2,7), L(2,7), and M(3,3) in the line y=1.
Answers
A. The new coordinates for Square BCDE after reflecting it across the y-axis are B(6,7), C(2,6), D(3,2), and E(7,3).
B. To reflect a figure across the y-axis, we need to change the sign of the x-coordinates while keeping the y-coordinates unchanged.
For Square BCDE with vertices B(-6,7), C(-2,6), D(-3,2), and E(-7,3), we can see that the y-coordinates remain the same, while the x-coordinates change sign.
Reflecting B(-6,7) across the y-axis gives us B(6,7).
Reflecting C(-2,6) across the y-axis gives us C(2,6).
Reflecting D(-3,2) across the y-axis gives us D(3,2).
Reflecting E(-7,3) across the y-axis gives us E(7,3).
Therefore, the new coordinates for Square BCDE after reflecting it across the y-axis are B(6,7), C(2,6), D(3,2), and E(7,3).
For Trapezoid JKLM with vertices J(-4,3), K(-2,7), L(2,7), and M(3,3), we are given that the trapezoid lies on the line y=1. Reflecting the trapezoid across the line y=1 is equivalent to reflecting it across the x-axis.
To reflect a figure across the x-axis, we need to change the sign of the y-coordinates while keeping the x-coordinates unchanged.
Reflecting J(-4,3) across the x-axis gives us J(-4,-3).
Reflecting K(-2,7) across the x-axis gives us K(-2,-7).
Reflecting L(2,7) across the x-axis gives us L(2,-7).
Reflecting M(3,3) across the x-axis gives us M(3,-3).
Therefore, the new coordinates for Trapezoid JKLM after reflecting it across the line y=1 (equivalent to reflecting it across the x-axis) are J(-4,-3), K(-2,-7), L(2,-7), and M(3,-3).
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Related Questions
Rewrite each expression as a trigonometric function of a single angle measure. sin 2θcos θ+cos 2 θ sinθ
Answers
The expression \(sin 2\theta cos\theta + cos 2\theta sin \theta\) can be rewritten as \(sin \theta (2cos^2 \theta - sin \theta)\) as a trigonometric function of a single-angle measure.
To rewrite the expression \(sin 2\theta cos\theta + cos 2\theta sin \theta\) as a trigonometric function of a single angle measure, we can use trigonometric identities to simplify it.
Using the double angle formula for sine (\(sin 2\theta = 2sin \theta cos \theta\)) and the double angle formula for cosine (\(cos 2\theta = cos^2\theta - sin^2 \theta\)), we can rewrite the expression as:
\(2sin \theta cos^2 \theta - sin^2 \theta cos \theta + sin \theta cos^2 \theta\)
Now, we can factor out \(sin \theta\) and \(cos \theta\):
\(sin \theta (2cos^2 \theta - sin \theta) + cos \theta (sin \theta cos \theta)\)
Simplifying further:
\(sin \theta (2cos^2 \theta - sin \theta) + cos \theta (sin \theta cos \theta)\\= sin \theta (2cos^2 \theta - sin \theta) + cos^2 \theta sin \theta\)
Now, we can rewrite the expression as a trigonometric function of a single angle measure:
\(sin \theta (2cos^2 \theta - sin \theta) + cos^2 \theta sin \theta\\= sin \theta (2cos^2 \theta - sin \theta + cos^2 \theta)\\= sin \theta (cos^2 \theta + cos^2 \theta - sin \theta)\\= sin \theta (2cos^2 \theta - sin \theta)\)
Therefore, the expression \(sin 2\theta cos\theta + cos 2\theta sin \theta\) can be rewritten as \(sin \theta (2cos^2 \theta - sin \theta)\) as a trigonometric function of a single angle measure.
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PLS HELPPPPPPPPPPPPP
Answers
Answer:
Step-by-step explanation:
I see three equations that represents the first step. All the others (I think) have flaws of one kind or another.
Third
The third one divides both sides of the equation by 3. All that remains on the left is what is inside the brackets. 24/3 becomes 8 which what equation 3 says.
x + 6 = 24/3
x + 6 = 8
Fourth
Shows how the distributive property is performed. It does this with great care. The right side is not affected.
3*x + 6*3 = 24 is what is the result. It is a good first step.
Five
This one is a little iffy. It is more like the second step. You have taken the fourth choice and removed the brackets. If you can do this in your head, I think it counts. I'm not sure how to answer what you should do. You're darned if you do and darned if you don't. My opinion is that it is perfectly OK but your marker may not agree.
Let X be a set. Let P be a set of subsets of X such that: • Ø∉P • the union of all sets AEP is X. Note that these are clauses (a) and (c) of the definition of a partition (Definition 1.5). Now define a relation R on the set X by R={(x,y):x∈A and y ∈ A for some A ∈ P), as in Theorem 1.7(b). Which of the following is true? Select one: a. R must be symmetric and transitive but might not be reflexive. b. R must be an equivalence relation, but ( [x]_R : x∈X) might not be equal to P. C. R must be reflexive and transitive but might not be symmetric. d. R must be an equivalence relation, and ( [x]_R: x∈X) must equal P. e. R must be reflexive and symmetric but might not be transitive.
Answers
The following statement (d) "R must be an equivalence relation, and ([x]_R: x∈X) must equal P." is true
The relation R defined as R={(x,y):x∈A and y∈A for some A∈P} is an equivalence relation.
1. Reflexivity: Since the set P does not contain the empty set, Ø∉P, for any element x∈X, there exists a set A∈P such that x∈A. Therefore, (x,x)∈R for all x∈X, making R reflexive.
2. Symmetry: Let (x,y)∈R, which means there exists a set A∈P such that x∈A and y∈A. Since A is a subset of X, it follows that y∈A and x∈A as well. Hence, (y,x)∈R, and R is symmetric.
3. Transitivity: Let (x,y)∈R and (y,z)∈R, which means there exist sets A and B in P such that x∈A, y∈A, y∈B, and z∈B. Since the union of all sets in P is X, the union of A and B is also a set in P. Thus, x∈A∪B, and z∈A∪B. Therefore, (x,z)∈R, and R is transitive.
Since R is reflexive, symmetric, and transitive, it satisfies the properties of an equivalence relation.
Additionally, the equivalence classes ([x]_R: x∈X) of R are equal to the set P. Each equivalence class [x]_R represents a subset of X that contains all elements y∈X such that (x,y)∈R. In this case, for each x∈X, the corresponding equivalence class [x]_R is the set A∈P such that x∈A.
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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
Answers
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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The movie theater has 30 seats in the front row. Each row has 3 more seats than the row before it. How many seats are in the 25th row?
63
102
33
105
Answers
Answer:
d
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
First you'd write an equation:
y(the number of seats) = 3x(the number of rows) + 30
Then, you'd replace the X with 25 and get your answer:
y = 3 (25) + 30
y = 75 + 30
y = 105
Which of the following is not true about a square?
O It has no right angles.
O All its sides are of equal lengths.
O It has opposite parallel sides.
O it can be classified as a rectangle.
Answers
The option i.e. not true about the square is the first option.
What is square?In the square, all 4 sides does have an equal length. Also, it should have parallel sides. Moreover, it should be treated as a rectangle. However, it does not contain any right-angle since it contains four right angles. It is a plane figure that contains four equal, straight sides.
Therefore, the first option is correct.
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Riley is saving up to buy a new television. She needs a total of $1,150.89. Riley has saved $200.13 already and earns $79.23 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A. 12
B. 13
C. 11
D. 10
Answers
Answer:
A. 12
Step-by-step explanation:
$1,150.89 - $200.13 = $950.76
$950.76 / $79.23 weekly = 12 weeks
To check:
12 weeks x $79.23 = $950.76
$950.76 + $200.13 = $1,150.89
1,229.99, enough to buy the tv.
What is formula data type?
Answers
Formula data type is used to determine different values based on a variety of fields in the existing table.
It also helps to create a pattern that takes input from all the fields and gives you the final value. Other fields include constants or functions and by using formula data type, you can remove the need to repeatedly enter the same information again and again. It also eliminated the margin of error that could occur during manual entry in the entirety of your work. Formula data type is used to help solve a combination of different equations that have different fields and/or equations.
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Given that 630 1 -14 -2 1 -28 14 -2 -1470 0 348 = 3 252 -60 -138 0 0 0 -2 0 0 3 0 -150 -347 -23 10 0 805 7 0 0 -1.16667 0.5 the eigenvalues of A are Without doing any calculations, a basis for the eigenspace corresponding to the largest (in the number line sense) eigenvalue is { }. Without doing any calculations, a basis for the eigenspace corresponding to the smallest (in the number line sense) eigenvalue is { }
Answers
When the equation (A - (-60)I)x = 0 is solved, a basis for the eigenspace corresponding to the least eigenvalue can be discovered. Again, we are unable to offer the foundation for the eigenspace without performing any calculations.
To find the eigenvalues of matrix A, we can look at the given equation, which represents the characteristic equation of matrix A:
630λ^3 - 14λ^2 - 2λ - 1470 = 0
The provided solutions for λ are:
λ1 = 3
λ2 = 252
λ3 = -60
The largest eigenvalue (in the number line sense) is λ2 = 252, and the smallest eigenvalue is λ3 = -60.
A basis for the eigenspace corresponding to the largest eigenvalue can be found by solving the system (A - 252I)x = 0, where I is the identity matrix and x is the eigenvector. However, we are asked to answer without doing any calculations, so we cannot provide the basis for the eigenspace in this case.
Similarly, a basis for the eigenspace corresponding to the smallest eigenvalue can be found by solving the system (A - (-60)I)x = 0. Again, without doing any calculations, we cannot provide the basis for the eigenspace.
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The formula for the volume, V, of a cone having the radius, and the helght, h, is shown below.
V +22
Write the formula to calculate the height, h.
Answers
Answer:
h = 3V/πr^2
Step-by-step explanation:
\(IF ;\\V = \frac{1}{3} \pi r^2 h\\Make ; h , subject-of-the-formula\\3V = \pi r^2 h\\Divide-both-sides-of-the-equation -by \pi r^2\\\frac{3V}{ \pi r^2} = \frac{ \pi r^2 h}{ \pi r^2 } \\\frac{3V}{ \pi r^2} = h\)
Answer:
Step-by-step explanation:
the answer is
multiply pie 4 square (3.1416 )(4/2)(9.95)= 500.14155 then it says to round to the nearest decimal for the answerV= 9.95 that is the answer to to question3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website
Answers
Answer:
The answer is 50 miles per hours.
help, circled numbers only. tysm.
Answers
I don’t know #6, #8, #10, sorry…
Answers:
For #2: 3 - n = 12
For #4: 12 * n = 432
For #12: 25 ÷ n = n
For #14: 86 - n = 2 * n + 4
I’m not sure if it’s right or not, but I tried…
Given −14.160 ÷ −0.48, find the quotient.
6.767
13.68
29.50
−2.95
Answers
Answer:
D. -29.5
Step-by-step explanation:
−14.160÷−0.48
Expand -14.16 over -0.48 by multiplying both numerator and the denominator by 100.
-1416 / -48
and lastly reduce the fraction -1416 / -48 to lowest terms by extracting and canceling out -24 to get 592/2 and
59/2 = 29 1/2 = 29.5
3. A random sample of students were surveyed as to how much non-school screen time they had each week
and if their grade average was above or below 80.
What PERCENT of students who spend 4-8 hrs
average above 80. Round your answer to the nearest
Answers
The number of students who for between 4-8 hours and obtained an average above 80 expressed as a percentage is 11.7%.
Calculating PercentagesRather than expressing values in fractions. A certain portion of a whole lot or item can be multiplied by 100 to get its equivalent value expressed as a percentage .
From the table , the number of students who studied for 4-8 hours and also had a grade above 80 is 11.
Total number of students in the sample = 94
Expressing as a percentage;
(11/94) × 100%
= 0.117 × 100%
= 11.7%
Hence, the percentage value is 11.7%
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The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
Answers
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Factor the polynomial function.
G(W) = -125w² +180
Answers
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
Define polynomial function.In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.
Given,
Polynomial function,
-125w² + 180 = 0
-125w² = -180
w² = 180/125
w² = 1.44
Squaring,
w = √1.44
w = 1.2
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
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Question 1 (5 marks) Your utility and marginal utility functions are: U = 4X+XY MU x = 4+Y MU₂ = X You have $600 and the price of good X is $10, while the price of good Y is $30. Find your optimal comsumtion bundle
Answers
To find the optimal consumption bundle, we need to maximize utility given the budget constraint. The summary of the answer is as follows: With a utility function of U = 4X + XY and a budget of $600, the optimal consumption bundle is (X = 20, Y = 10).
To explain the solution, we start by considering the budget constraint. The total expenditure on goods X and Y cannot exceed the available budget. Given that the price of X is $10 and the price of Y is $30, we can set up the equation as follows: 10X + 30Y ≤ 600.
Next, we maximize utility by considering the marginal utility of each good. Since MUx = 4 + Y, we equate it to the price ratio of the goods, MUx / Px = MUy / Py. This gives us (4 + Y) / 10 = 1 / 3, as the price ratio is 1/3 (10/30).
Solving the equation, we find Y = 10. Substituting this value into the budget constraint, we get 10X + 30(10) = 600, which simplifies to 10X + 300 = 600. Solving for X, we find X = 20.
Therefore, the optimal consumption bundle is X = 20 and Y = 10, meaning you should consume 20 units of good X and 10 units of good Y to maximize utility within the given budget.
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1. 12/5= 2. 27/12 =
-- Help pls
Answers
♀️
Easy question what is your favorite part of Christmas.
Answers
Answer:
Hanging out with my family. :D
Step-by-step explanation:
Hanging with friends and family
Select the equation which represents solving for the variable y.
−3x+3y=−21
y=x−7
y=x+7
y=3x−21
y=3x+21
Answers
Answer:
y = x-7
Thanks...........
Find the value of x.
See picture for full problem. Please and thank you so very much!!
Answers
Answer:
x=12
Step-by-step explanation:
The photo might help.
If anything is not understandable I'm here to help :)
Suppose On a Sunny Day the Temperature decreases 5.4 F° for each 1,000- foot rise in elevation. If the temperature at the base of a 3,000 foot mountain is 27 F°, what is the temp at the mountain summit?
GUYS PLS EXPLAINNN
Answers
Therefore, the temperature at the summit of the 3,000-foot mountain on a sunny day is estimated to be 10.8 F°.
What is equation?In mathematics, an equation is a statement that indicates the equality of two expressions. An equation typically contains one or more variables, which are placeholders for unknown values or quantities. The variables can take on different values, and the goal is often to find the values that satisfy the equation.
Here,
Let's start by calculating the rate of change of temperature with respect to elevation:
=-5.4 F° / 1,000 ft
This means that for every 1,000-foot increase in elevation, the temperature will decrease by 5.4 F°.
Next, we can calculate how much the temperature will decrease from the base of the mountain to the summit:
3,000 ft / 1,000 ft = 3
This means that the elevation difference between the base of the mountain and the summit is 3,000 - 0 = 3,000 ft.
So, the temperature decrease from the base to the summit is:
-5.4 F° / 1,000 ft * 3,000 ft = -16.2 F°
This means that the temperature at the summit will be:
27 F° - 16.2 F° = 10.8 F°
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Please help! and explain! no weird answers please. actual answers!
Answers
Answer:
AA criterion
a/x = c/a
a² = cx
b/(c - x) =c/b
b² = c(c - x)
a² + b² =cx + c(c - x) = c²
a² + b² = c²
Step-by-step explanation:
A cow produces 230 gallons of milk
in 6 days. At that rate, about how
many gallons should the cow
produce in one year?
A. 12.850
B. 13.990
C. 13,470
D. 14,130
Answers
Answer:
D
Step-by-step explanation:
Find f(−1) if f(x)= x^2-6x/x+2
Help please!
Answers
Answer:
f(-1)=6
Step-by-step explanation:
If \(f(x)=\frac{x^2-6x}{x+2}\), then f(-1) is found by substituting (-1) for x in the function:
\(f(-1)=\frac{(-1)^2+6(-1)}{(-1)+2}\)
Simplify:
\(f(-1)=\frac{1+5}{1}\\f(-1)=6\)
I NEED HELP PLS PSSSSSSSSSSSSSSS
Answers
Answer:
240
Step-by-step explanation:
The total overall profit of all the weekdays is 1200. The question asks for the average. 1200 divided by 5 is 240. the average is 240 dollars per weekday
Answer:
278
Step-by-step explanation:
average = sum/count
count = 7 (7 days)
monday = 150
tuesday = 250
wednesday = 200
thursday = 250
friday = 350
saturday = 450
sunday = 300
sum = 150 + 250 + 200 + 250 + 350 + 450 + 300 = 1950
mean = 1950/7 = 278.571428571 ≈ 278
There are blue , black and yellow counters in the bag in the ratio 5:2:9
What fraction of the counters are yellow?
Answers
9/16
I think you first add all the ratios then use the answer you got as a dinominator then the ratio of the yellow counter as you nominator
11. How many combinations of four can you make from the set?
25 baseball cards
Put your answer in the form [XXXXX]. Please do not insert a comma.
Answers
Replace variables with values and
evaluate using order of operations:
D = WT2
W = 70
T = 4
Answers
Answer:
742
Step-by-step explanation:
W+T =74
mark it as the brainliest
How do I partition a directed line segment?
Answers
The point of partition of the line segment AB in the ratio 2:3 with endpoints at A(9,5) and B (4,-5) is (7,1) .
What is Partition ?
The Simple words Partition means to separate or to divide . and
we know that , the point of partition of the line segment AB in the ratio a:b , can be calculated using the formula :
\(P=\frac{bA+aB}{a+b}\) ;
Substituting the values of end points A(9,5) and B (4,-5) and the ratio \(a=2\) , \(b=3\) ,
we get ;
P = \(\frac{3(9,5) +2(4,-5)}{2+3}\) = \(\frac{(27,15) + (8,-10)}{5}\) = \(\frac{(35,5)}{5}\) ;
Simplifying further ,
we get ;
P = (7,1) .
Therefore , the point of partition P is (7,1) .
The given question is incomplete , the complete question is
How do I find the point that partitions the segment AB into a 2:3 ratio with endpoints at A(9,5) and B (4,-5) ?
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