The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
What are the coordinates of the image of a line segment?
In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:
A'(x, y) = (3, 4) + (- 2, 1)
A'(x, y) = (1, 5)
B'(x, y) = (- 1, - 2) + (- 2, 1)
B'(x, y) = (- 3, 1)
Second, determine the coordinates of the ends of the line segment by using the rotation formula:
A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)
A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))
A''(x, y) = (1, 3) + (2, 0)
A''(x, y) = (3, 3)
B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)
B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))
B''(x, y) = (1, 3) + (- 2, 4)
B''(x, y) = (- 1, 7)
The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.
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Suppose you want to test whether girls who attended girls-only high school do better in math than girls who attend coed schools. You have a random sample of senior high school girls from a state in the US, and score is the score on a standardized math test. Let girlhs be a dummy variable indicating whether a student attends a girls-only high school. (i) What other factors would you control for? (Think about factors that are reasonable to collect data on e.g. ability data can not be measured perfectly.) (ii) Write an equation relating score to girlhs and the other factors you listed in part (i). Is this a structural equation? (iii) Suppose that parental support and motivation are unmeasured factors in the error term in part (ii). Are these likely to be correlated with girlhs? Explain. (iv) Discuss the assumptions needed for numghs: "the number of girls-only high schools within a 20-mile radius of a girl's home" to be a valid IV for girlhs. (v) Suppose that, when you estimate the reduced form for girlhs, you find that the coefficient estimate on the chosen IV numghs defined in part (iv) is negative and statistically significant. Should you feel comfortable proceeding with IV estimation while this IV is used for girlhs? Explain.
(i) When testing whether girls who attended girls-only high schools do better in math, it is important to control for various factors that could potentially influence math scores.
Some factors to consider are:
Socioeconomic status: Family income, parental education level, and other indicators of socioeconomic status can have an impact on educational opportunities and resources available to students.Prior academic performance: Controlling for the students' past math scores or their performance in other subjects can help account for differences in baseline ability.School quality: The quality of the school, teaching resources, and curriculum may vary across different schools, and it is important to consider this as a potential factor.Peer effects: The composition of the student body and peer interactions within the school can influence academic performance.Teacher quality: The effectiveness and experience of teachers can affect students' learning outcomes.Access to resources: Availability of math-related resources such as textbooks, online materials, and tutoring services can impact performance.(ii) The equation relating the math score (score) to girlhs (dummy variable indicating girls-only high school attendance) and other factors can be written as:
score = β0 + β1 * girlhs + β2 * socioeconomic status + β3 * prior academic performance + β4 * school quality + β5 * peer effects + β6 * teacher quality + β7 * access to resources + ε
This equation represents the structural relationship between the math score and the factors being controlled for. The coefficients β1, β2, β3, β4, β5, β6, and β7 represent the respective effects of girlhs and the other factors on the math score.
(iii) Parental support and motivation, which are unmeasured factors, may be correlated with girlhs. This is because parents who choose to send their daughters to girls-only high schools might have certain preferences or beliefs regarding education, which could include providing higher levels of support and motivation. However, without directly measuring parental support and motivation, it is difficult to establish a definitive correlation.
(iv) To ensure that numghs (the number of girls-only high schools within a 20-mile radius of a girl's home) is a valid instrumental variable (IV) for girlhs, certain assumptions are needed:
Relevance: The number of girls-only high schools within a 20-mile radius should be correlated with the girlhs variable (attendance at girls-only high schools).Exogeneity: The IV should be unrelated to the error term in the equation for girlhs (i.e., it should not have a direct effect on math scores beyond its effect on school attendance choice).Exclusion restriction: The IV should only affect the math scores through its influence on girlhs and not through any other pathway.(v) If the coefficient estimate on the chosen IV numghs is negative and statistically significant in the reduced form estimation, it suggests a strong relationship between the instrumental variable and the attendance at girls-only high schools. This provides some confidence in the validity of the IV. However, the decision to proceed with IV estimation should also consider other factors such as the strength of the instruments, the overall model fit, and the robustness of the results to alternative specifications.
It is important to carefully evaluate the assumptions and limitations of the IV estimation approach before drawing conclusions in math.
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Solve for x. Round your answer to the nearest tenth. A 12 8 E 10
The value of x shown in the right angled triangle is 15.9 units
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:
Hypotenuse² = Adjacent² + Opposite²
From the diagram, substituting:
17² = x² + 6²
x² = 17² - 6²
x² = 253
x = 15.9 units
The value of x is 15.9 units
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Given the definitions of f(x) and g(x) below, find the value of g(f(6)).
f(x) = -33 + 10
g(x) = x2 + 3x – 12
The charges and coordinates of two charged particles held fixed in an xy plane are q _1 =2.05μC,x _1 =5.32 cm,
y_1 =0.723 cm and q _2 =−5.00μC,
x _2=−1.89 cm,y_2=1.52 cm. Find the
(a) magnitude and
(b) direction (with respect to +x-axis in the range (−180 ° ;180 ° ]) of the electrostatic force on particle 2 due to particle 1. At what
(c) x and
(d) y coordinates should a third particle of charge q _3=6.54μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?
(a) Number Units
(b) Number Units
(c) Number Units
(d) Number Units})
The magnitude of the force on particle 2 due to the third particle can be found using: F_32 = k(q_2q_3)/r_23^2.The direction of the force is 91.7° with respect to the +x-axis.
(a) The magnitude of the electrostatic force on particle 2 due to particle 1 is 0.183 N. ( b)The direction of the electrostatic force can be found by taking the inverse tangent of the y and x components of the force, which are -0.107 N and -0.159 N, respectively. Thus, the direction of the electrostatic force is 126.2°.(c) In order to find the x and y coordinates of the third particle that would cause the net electrostatic force on particle 2 due to particles 1 and 3 to be zero, we need to set up an equation for the forces in the x and y directions. The force on particle 2 due to particle 1 can be found using Coulomb's law :F_12 = k(q_1q_2)/r^2where k is Coulomb's constant, q_1 and q_2 are the charges of particles 1 and 2, respectively, and r is the distance between the particles. Similarly, the force on particle 2 due to particle 3 can be found using:F_23 = k(q_2q_3)/r^2where q_3 is the charge of the third particle, and r is the distance between particles 2 and 3.
If the net electrostatic force on particle 2 is zero, then:F_12 + F_23 = 0orF_12 = -F_23. Substituting the expressions for F_12 and F_23 from above, we get:k(q_1q_2)/r_12^2 = -k(q_2q_3)/r_23^2where r_12 is the distance between particles 1 and 2, and r_23 is the distance between particles 2 and 3. Solving for r_23 in terms of r_12 and q_3, we get:r_23 = r_12 sqrt(|q_1|/|q_3|)Substituting the given values for r_12, q_1, and q_3, we get:r_23 = 1.347 cm. Thus, the third particle should be placed at coordinates (x,y) = (-1.89 cm, 1.52 cm - 1.347 cm) = (-1.89 cm, 0.173 cm). The magnitude of the force on particle 2 due to the third particle can be found using:F_32 = k(q_2q_3)/r_23^2. Substituting the given values for q_2, q_3, and r_23, we get:F_32 = 4.39 NThe direction of the force on particle 2 due to the third particle can be found by taking the inverse tangent of the y and x components of the force, which are -4.37 N and -0.031 N, respectively. Thus, the direction of the force is 91.7° with respect to the +x-axis.
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the lengths, in inches, of adult corn snakes are normally distributed with an unknown population mean and standard deviation. if a random sample of 45 snakes is taken to estimate the mean snake length, what t-score should be used to find a 99% confidence interval estimate for the population mean?
The t-score that should be used to find a 99% confidence interval estimate for the population mean is given as follows:
t = 2.6923.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 45 - 1 = 44 df, is t = 2.6923.
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Rewrite the equation in Ax+By=C form. Use integers for A, B, and C.
Answer:
Step-by-step explanation:
move things to the other side of the equal sign as you need to and change their sign
(-1/6)x -y = 2
A= -1/6
B= -1
C= 2
Look at this graph:
y
100
90
80
70
60
50
40
30
20
10
X
0
10
20 30 40 50 60 70 80 90 100
What is the slope?
Find the x- and y-intercepts of the graph of each ... CCSS REASONING The equation 5x + 10y = 60 ... 20. SOLUTION: The x-intercept is the point at which the y-coordinate is 0, or the line ... charges $50 for admission before 6 p.m. and $20 for ... (90, 70). 100 f (100) = 160 – (100). 60. (100, 60). 130 f (130) = 160 – (130). 30.
I have no idei hellppppp
Answer:
Step-by-step explanation:
(1/2)*x+4=-8
x+4/2=-8
x+4=-8*2
x+4=-16
x=-16-4
x=-20
Answer:
x = -20
Step-by-step explanation:
1/2(x + 4) = -8
1/2x + 2 = -8
1/2x = -10
x = -10(2)
x = -20
Hope this helps!
I need help,please help me.
Answer:
1 5/8
Step-by-step explanation:
subtract
Answer:
Step-by-step explanation:
4+7/8-3-1/4
1+7/8-(1/4)(2/2)
1+7/8-2/8
1+5/8 ft
y=x-6 and y=-x-2 graph the system then right a solution if there is one
Answer: To graph the system of linear equations, you can plot the two lines on the same coordinate plane and look for the point where they intersect. If they intersect, that point represents the solution to the system.
The equation y = x - 6 can be written in slope-intercept form, y = mx + b, where m = 1 and b = -6. The equation of the line will be y = x - 6.
The equation y = -x - 2 can be written in slope-intercept form, y = mx + b, where m = -1 and b = -2. The equation of the line will be y = -x - 2.
Plotting these two lines on the same coordinate plane, we can see that they intersect at the point (2, -4). This means that there is one solution to the system of equations: (2, -4).
Step-by-step explanation:
EFGH is a parallelogram. Find the measure of EG. parallelogramefghmsidesw7 The measure of EG is .
Answer: EG = 80
Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.
The diagonals of a parallelogram bisect each other, which means, using the figure as example:
EJ = JG
So, to determine EG, first find w:
\(4w+4=2w+22\)
\(2w=18\)
w = 9
Substituting:
\(EJ=4w+4\)
\(EJ=4(9)+4\)
EJ = 40
Since each segment has the same measure:
EG = 2EJ
EG = 2(40)
EG = 80
The measure of EG is 80 units
HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
When you look at the blueprint, the lengths of the walls on the drawing are 7.5 inches by 9 inches. What
is the scale used on the blueprint?
The Scale used on blueprint is 1 inches represents 4/3 feet
Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.
Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:
Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet
1 inches = 4/3 feet
The Scale used on blueprint is 1 inches represents 4/3 feet
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the house was in the shape of an __________ , eight separate bedrooms on each side
The house was in the shape of an octagon, with eight separate bedrooms on each side.
The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.
The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.
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The diagram below shows part of the graph of the equation y=\(2x^{2}+ax+b.\) the graph intersects the x-axis at the points \((-\frac{7}{2}, 0) and (2,0)\). Find the value of a and the value of b
The value of a is 3.
The value of b is -14.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The function of the graph is,
y = 2x² + ax + b
The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).
Now,
Since, The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).
Hence, The points must satisfy the graph of the function.
So, Points (-7/2, 0) and (2, 0) are satisfy the function y = 2x² + ax + b.
When point (-7/2, 0) satisfy the function y = 2x² + ax + b
Then,
0 = 2 × (-7/2)² + a × (-7/2) + b
0 = 49/2 - 7a/2 + b
7a/2 - b = 49/2 .... (i)
And, When point (2, 0) satisfy the function y = 2x² + ax + b
Then,
0 = 2 × (2)² + a×2 + b
2a + b = -8 .... (ii)
Add equation (i) and (ii) we get;
7a/2 - b + 2a - b = 49/2 + (-8)
11a/2 = 33/2
11a = 33
a = 3
And, 2a + b = -8
2 × 3 + b = -8
b = -8 - 6
b = -14
Hence, The value of a is 3.
The value of b is -14.
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the ratio of carp to bass in a lake is 7 to 2 there are 2,700 of these types of fish combined how much bass are in the lake please helpppppppppp
Answer:
divide
Step-by-step explanation:
divide the questions and then that should give you the answer if it doesn't
then subtract.
Which line is parallel with y = -3x + 10
Answer:
If a line is parallel with Another...
They will have the same Gradient or equal Gradient (m)
So for two parallel lines
m=m'
So the gradient of the second or other line would be Same
Now
y= -3x + 10
comparing with
y= mx + c
m = -3
So the other line would have the same gradient.
from the options provided in the comment section...
y= -3x + 12
Is your Most probable answer cos it has the same gradient
A scientist removed a sample of 37.8 grams of a chemical from a containerThe sample was 4(1)/(4) grams less than (1)/(5) of the total mass of the chemical in the container. What was the measure of the total chemical in the container? Show your work.
if f(x) = 5x^3 - 2, then what is the remainder when f(x) is divided by x + 2
Answer: -12
Step-by-step explanation: use synthetic division
Answer: -42
Step-by-step explanation:
please help! i will mark you as brainliest :) (worth 30 points)
Answer:
Step-by-step explanation:
Find the critical point and the intervals on which the function is increasing or decreasing and apply the First Derivative Test to each critical point on the interval [−π/2 , π/2]
f(x)=6e−xcos(x)
(Use symbolic notation and fractions where needed.)
c=
The critical point is:
The critical point is:
a) neither maximum nor minimum (inflection point).
b) a local minimum.
c) a local maximum.
----------------------------------------------------------------------------------------------------------------------------------------------------------
Find all critical points of the function f(t)=t−6√(t+2)
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. If the function does not have any critical points, enter DNE.)
Critical Points:
-------------------------------------------------------------------------------------------------------------------------------
Determine the intervals on which the function is concave up or down and find the points of inflection.
y = 7.2? +In(2)(x >0)
Provide intervals in the form (∗,∗). Use the symbol [infinity] for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(",")", " [,or "]", depending on whether the interval is open or closed. Enter ∅ if the interval is empty.
Provide points of inflection as a comma‑separated list of (x,y)(x,y) ordered pairs. If the function does not have any inflection points, enter DNE.
Use exact values for all responses.
(a) The critical point of the function f(x) = 6e^(-x)cos(x) on the interval [-π/2, π/2] is a local maximum.
(b) The function f(t) = t - 6√(t + 2) has one critical point at t = -2.
(a) To find the critical point of the function f(x) = 6e^(-x)cos(x), we need to find where the derivative equals zero or is undefined. Taking the derivative of f(x) with respect to x gives f'(x) = -6e^(-x)cos(x) + 6e^(-x)sin(x). Setting f'(x) equal to zero and solving for x yields x = π/4, which is the only critical point on the interval [-π/2, π/2]. To determine if it is a maximum or minimum, we can apply the First Derivative Test. Since f'(x) changes sign from negative to positive at x = π/4, the critical point is a local maximum.
(b) To find the critical points of f(t) = t - 6√(t + 2), we need to find where the derivative equals zero or is undefined. Taking the derivative of f(t) with respect to t gives f'(t) = 1 - 3/(√(t + 2)). Setting f'(t) equal to zero and solving for t yields t = -2 as the critical point. Thus, the function f(t) has one critical point at t = -2.
For the third part of the question regarding the intervals of concavity and points of inflection, the given function y = 7.2? + In(2)(x > 0) seems to be incomplete or not well-defined. Therefore, it is not possible to determine the intervals of concavity or points of inflection for the given function.
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Each group of students receives a bag that has 4 red cubes, 10 green cubes, and 6 blue cubes. Each group makes 20 pulls, replacing the cube after each pull, with the results shown below. Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?
Answer:
You stated the question, "Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?
Step-by-step explanation:
Therefore, this question makes no sense.
explain step-by-step how to solve this equation. 5-2(3-x)=4x+10
If the price of milk was $1.25 a gallon and it is now $2.25 a gallon, what is the percentage change in price
Answer:
The Percentage change of the price was $1
Step-by-step explanation:
$2.25 - $1.25 = $1
The percentage change in the price of milk is 80%, meaning the price has increased by 180%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To find the percentage change in price, you can use the following formula:
Percentage change = (New Price - Old Price) / Old Price × 100
Percentage change = (2.25 - 1.25) / 1.25 × 100
= 80%
So, the percentage change in the price of milk is 80%, meaning the price has increased by 180%.
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How to multiply 28 and 36 using set of steps
Answer:
Either do 28+28+28, etc. 38 times, or follow the diagram I attached.
If you want to know more about what I did in the attachment, just ask <3
Answer:
Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.
Step-by-step explanation:
The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
Is Jupiter diameter is diameter is 141868 and 768 and certain diameter is 1 is 19296 so so which planet has the biggest diameter
Jupiter has the largest diameter of all the planets in our solar system.
Jupiter's diameter is roughly 139,822 kilometres, compared to Earth's circumference of 12,742 km. This suggests that Jupiter is substantially larger in diameter than Earth. With a diameter that is over eleven times greater than that of Earth, Jupiter is actually one of the biggest planet in the galaxy.
Jupiter's enormous gravitational pull, which enabled it to assemble a sizable quantity of dust and gas during its birth, is the cause of its size. The planet has a diameter that would allow it to comfortably contain all the reverse planets in the inner solar system.
With a diameter in roughly 116,460 kilometres, Saturn is the planet that comes in second place to Jupiter in terms of size. Uranus and Pluto are two more substantial planets in our solar system.
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Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown
VX
What should Allison do next to find the value of the expression?
remove 2 negative tiles
remove 3 negative tiles
add 2 negative tiles
Add 7 negative tiles
Answer:
its B. -3
Step-by-step explanation:
Remove 3 negative tiles .
Can I get brainliest??????
Answer:
Step-by-step explanation:
its b
The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
geometry help please, simple math problem. will mark you brainliest
Answer:
r and s cannot be parallel
Step-by-step explanation:
If a line intersects two parallel lines, then some special angles are formed between the parallel lines
Alternate angles, they are equal in measures (corners of Z)Corresponding angles, they are equal in measures (corners of F on inside and the other outside)Interior angles, they measures add up to 180° (corners of U)
From the given figure
∵ Line r and line s intersected by line m
∵ m∠1 = 111°
∴ The angle adjacent ∠1 must be 180 - 111 = 69° ⇒ linear pairs
∵ The angle of measure 69° and angle 5 are in the corresponding
position
∴ m∠5 must be equal 69°
∵ m∠5 = 59° from the given
→ That means the lines cannot be parallel because the angles
in the corresponding position are not equal in measures.
∴ Lines r and s can not be parallel
Answer:r and s cannot be parallel
Step-by-step explanation:
Put the numbers in order least to greatest!
0.9
-2.4
-0.8
1.6
0.2
Thanks to anyone who answers it always helps!
Have a great day!
Answer:
-2.4
-0.8
0.2
0.9
1.6
Step-by-step explanation:
I just know.