Answers
The way to transform A to B is (1,-1).
We are given that;
The coordinates (-1,1),(-3,1),(-1,3) and (1,-1),(3,-1),(1,-3).
Now,
To transform the coordinates (-1,1),(-3,1),(-1,3) to (1,-1),(3,-1),(1,-3), you can apply a reflection about the origin. This transformation can be represented by the matrix [-1 0; 0 -1]. When you multiply this matrix with the original coordinates, you will get the transformed coordinates.
First, represent the point (-1,1) as a column vector:
[-1]
[ 1]
Then, multiply this vector by the reflection matrix [-1 0; 0 -1]:
[-1 0; 0 -1] * [-1] = [ 1]
[ 1] [-1]
Therefore, by transformation the answer will be (1,-1).
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Related Questions
What is the volume of this pyramid?
Enter your answer in the box.
Answers
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
Answers
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
400 in the ratio 1:3:4
Answers
Answer: 50:150:200
Step-by-step explanation:
We can add up the ratios to find out what our ratio is for 400. Adding up all the ratios totals 8, and dividing 400 by 8 gives us 50, which means our ratio is 50:1.
To find the ratio for 3, we multiply the 50:1 ratio by 3, to get 150.
To find the ratio for 4, we multiply the 50:1 ratio by 4, to get 200.
Thus, our final answer is 50:150:200
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answers
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
pls help need helpasap
Answers
Answer: 0.25
Step-by-step explanation:
the mean is 7.25. the median is 7. so, the difference is 0.25.
At a table in the college cafeteria, three deans meet and discuss class size in their departments. The Math dean remarks, “It was kind of funny thing with our numbers. We divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 1.”“Gee,” said the Biology dean, “We had something very similar happen. Like you, we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 2.”Then the History dean made his remarks: “You’re hardly going to believe this, but we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students. In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 3.”How many professors and students were there in the fall and spring in math, biology and history?
Answers
First, let's define our variables.
Let:
• M, be the number of ,math, teachers and ,m, be the number of math students.
,• B, be the number of ,biology, teachers and ,b, be the number of ,biology, students.
,• H, be the number of ,history, teachers and ,h, be the number of ,history, students.
Similarly, we'll have that:
• Cm, will be the number of students in a ,math, class.
,• Cb, will be the number of students in a ,biology, class.
,• Ch, will be the number of students in a ,history, class.
Now, we'll traslate what each dean said into mathematic expressions, so we can work on them and get our solution.
FOR MATH:
The dean said:
1. "We divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."
\(\frac{m}{M}=C_m\)2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 1.”
\(\frac{m+1}{M+1}=C_m-1\)Now, let's clear Cm from equation 2 and equal both equations, as following:
\(\begin{gathered} \frac{m+1}{M+1}=C_m-1 \\ \\ \rightarrow1+\frac{m+1}{M+1}=C_m \\ \\ \Rightarrow1+\frac{m+1}{M+1}=\frac{m}{M} \end{gathered}\)Solving for m, we'll get an expression for the number of students asigned to a certain number of teachers:
\(\begin{gathered} 1+\frac{m+1}{M+1}=\frac{m}{M} \\ \\ \rightarrow\frac{M+1+m+1}{M+1}=\frac{m}{M}\rightarrow\frac{M+m+2}{M+1}=\frac{m}{M} \\ \\ M(M+m+2)=m(M+1) \\ \rightarrow M^2+Mm+2M=Mm+m \\ \rightarrow M^2+2M=m \\ \\ \Rightarrow m=M^2+2M \end{gathered}\)Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.
For instance, we can choose 10 teachers, and we'll get that:
• There were 10 teachers and 120 students in the fall semester
,• There were 11 teachers and 121 students in the fall semester
FOR BIOLOGY:
The dean said:
1. "...we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."
\(\frac{b}{B}=C_b\)2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 2."
\(\frac{b+1}{B+1}=C_b-2\)Similarly, we'll clear Cb from equation 2 and equal both equations, as following:
\(\begin{gathered} \frac{b+1}{B+1}=C_b-2 \\ \\ \rightarrow2+\frac{b+1}{B+1}=C_b \\ \\ \Rightarrow2+\frac{b+1}{B+1}=\frac{b}{B} \end{gathered}\)Solving for b, we'll get an expression for the number of students asigned to a certain number of teachers:
\(\begin{gathered} 2+\frac{b+1}{B+1}=\frac{b}{B} \\ \\ \rightarrow\frac{2B+2+b+1}{B+1}=\frac{b}{B}\rightarrow\frac{2B+b+3}{B+1}=\frac{b}{B} \\ \\ \rightarrow B(2B+b+3)=b(B+1) \\ \rightarrow2B^2+Bb+3B=Bb+b \\ \rightarrow2B^2+3B=b \\ \\ \Rightarrow b=2B^2+3B \end{gathered}\)Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.
For instance, we can choose 10 teachers, and we'll get that:
• There were 10 teachers and 230 students in the fall semester
,• There were 11 teachers and 231 students in the fall semester
FOR HISTORY:
The dean said:
1. "...we divided all the students evenly among all the professors in the fall semester, and each class had exactly the same number of students."
\(\frac{h}{H}=C_h\)2. "In the spring semester, we hired one additional professor and our student enrollment went up by exactly 1, and it turned out that our class size in the spring went down by exactly 3."
\(\frac{h+1}{H+1}=C_h-3\)Just as we did, we'll clear Ch from equation 2 and equal both equations, as following:
\(\begin{gathered} \frac{h+1}{H+1}=C_h-3 \\ \\ \rightarrow3+\frac{h+1}{H+1}=C_h \\ \\ \Rightarrow3+\frac{h+1}{H+1}=\frac{h}{H} \end{gathered}\)Solving for h, we'll get an expression for the number of students asigned to a certain number of teachers:
\(\begin{gathered} 3+\frac{h+1}{H+1}=\frac{h}{H} \\ \\ \rightarrow\frac{3H+3+h+1}{H+1}=\frac{h}{H}\rightarrow\frac{3H+h+4}{H+1}=\frac{h}{H} \\ \\ \rightarrow H(3H+h+4)=h(H+1) \\ \rightarrow3H^2+hH+4H=hH+h \\ \rightarrow3H^2+4H=h \\ \\ \Rightarrow h=3H^2+4H \end{gathered}\)Now, we can choose any number of teachers that we want, and we'll get the corresponding number of students that make the dean's statements correct.
For instance, we can choose 10 teachers, and we'll get that:
• There were 10 teachers and 340 students in the fall semester
,• There were 11 teachers and 341 students in the fall semester
Ju used 6
bags of mulch in her front yard and
2 bags of mulch in her backyard. How many
bags of mulch has Ju used (in simplest form)?
Answers
Answer:
she used 8 bags of mulch altogether.
Step-by-step explanation:
if this isn't correct, you may want to reword or specify the question.
MP Reason Hugo walk5/6 mile from his home to the library on
Monday. He walks 1/3 mile from his home to the park on Tuesday.
• How much farther does he walk on Monday than on Tuesday?
• Is your answer reasonable? Explain.
Answers
He travels 2.5 times as farther on Monday than on Tuesday.
How to obtain the ratio between the distances?The ratio between the distances is obtained applying the proportions in the context of this problem, as the Monday's distance is divided by the Tuesday's distance.
It gives how much farther he traveled on Monday than on Tuesday.
Then the ratio is given as follows:
(5/6)/(1/3) = 15/6 = 2.5.
(the ratio between two amounts is obtained dividing the two amounts).
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Divide £104 in the ratio 3:5
Answers
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
Which number is not a factor of 42?
2 3. 4 7
Answers
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answers
Answer:
A, B
Step-by-step explanation:
After being simplified and put in standard form, the equations are ...
A. 3x² +8x -13 = 0 . . . a quadratic
B. 3x² -x -30 = 0 . . . . a quadratic
C. 4x = -16 . . . . . . . . . a linear equation, not quadratic
D. 3x⁴ -5x -6 = 0 . . . . a quartic equation, not quadratic
Both of the quadratic equations can be solved using the quadratic formula.
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answers
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
Saved
250 mg
sing value in
50 mg
10 ml
X
Choice
Answers
What is the question and then i can help!
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
Answers
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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can you the number that belongs in the green boxes you solve for p
Answers
we have the equation
\(2p=18\)Solve for p
Divide both sides by 2
\(\begin{gathered} \frac{2p}{2}=\frac{18}{2} \\ \\ p=9 \end{gathered}\)The answer is the green box is 2Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said
Answers
Answer:
D
Step-by-step explanation:
If you ask questions while their speaking it shows that you are paying attention to them. Avoiding eye contact could mean your thinking about something else or you aren't interested. Interrupting them is just being disrespectful. Leaning towards them doesn't really do anything other than you moving.
A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x
Answers
The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²
What is an Equations?Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
N(x) = 625 + 2.5x
The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:
R(x) = (625 + 2.5x)(400 - x)
Simplifying the expression, we get:
R(x) = 250000 + 375x - 2.5x²
Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:
R(x) = 250000 + 375x - 2.5x²
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HELPPPPP SOMEONE HELP AND I WILL MARK BRAINLIST!!!
Answers
Answer:
Angle B and Angle D are both 101 degrees
Step-by-step explanation:
Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).
Given that fact, we can deduce the measure of angle B.
180-79=101.
Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.
180-79=101.
Therefore, both Angle B and D are 101 degrees.
79 Points!!! Algebra question. A biologist plotted the data from his latest experiment and connected the points to form the graph shown. He recognizes that the graph is a translation of y=x^2. Write a function f(x) to represent the graph of his data. Photo attached. Thank you!
Answers
The function for the following graph is:
( X - 3 ) ^2 = y - 1
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
Answers
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Please show work (if needed) help ASAP
Answers
Answer:
First one is option D. Plane Bad, second one is option B. Point C
can anyone help me out here? I will pay you 20 points
Answers
Answer:
The ordered pair that makes an equation true is called a solution
a)solution
b) not a solution
c) solution
d) solution
e)not a solution
f) not a solution
g) solution
h) not a solution
Step-by-step explanation:
The first number in an ordered pair is x, the second one is y
Plug in the numbers to x and y respectively
I'll give two examples so you know how to solve it
a) y=3x+1
-5=3(-2)+1
make sure you use pemdas (multiply first)
-5=-6+1
add
-5=-5
this is true (meaning it is a solution)
b) 6=3(-3) +1
6=-9+1
6 = -8
this is NOT true (not a solution)
If you have any questions feel free to ask
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
Answers
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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A) alternate interior
B) same-side interior
C) corresponding
D) alternate exterior
Answers
Answer:A
Step-by-step explanation:x and y are on opposite sides so they are alternate and they are on the inside so interior
(5x3)+(nx4)=5(3+4) write each missing number.
Answers
Answer:
5
Step-by-step explanation:
5 x 3 = 15
n x 4 = 4n
3 + 4 = 7
(5 x 3) + (n x 4) = 5(3 + 4)
15 + 4n = 5*7
15 + 4n = 35
4n = 35 - 15
4n = 20
n = 20/4
n = 5
Hence, the value of missing number (n) is 5.
FIND THE AREA PLEASE
Answers
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
can someone help me answer this question please!!
Answers
Answer:
i think its A
Step-by-step explanation:
Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.
Answers
Answer:
A = 22.62°
B = 67.38°
c = 26
Step-by-step explanation:
\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)
\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios
\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)
There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
Answers
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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