Answers
reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
\((x,y)\to (y,x)\)
It represents reflection across the line y=x.
In option 2,
\((x,y)\to (x,-y)\)
It represents reflection across the x-axis.
In option 3,
\((x,y)\to (4x,4y)\)
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
\((x,y)\to (x+2,y-5)\)
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
Related Questions
Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.
Answers
Answer:
-3, -3
Step-by-step explanation:
ANYONE...........help
Answers
Answer:
1 cmStep-by-step explanation:
Sides of the picture added margin:
l = 8 + 2xw = 5 + 2xA(margin) = 30 cm²Solution:
A(margin) = Total area - A(picture)(8 + 2x)(5 + 2x) - 5*8 = 304x² + 10x + 16x + 40 - 40 - 30 = 04x² + 26x - 30 = 02x² + 13x - 15 = 0x = (-13 + √(13² + 2*4*15))/4x = (-13 + 17)/4 x = 1 cmNote. The other root is ignored as negative.
Mr. Simmons drives 32 miles each day to work and back. Ms. Lee drives 45 miles each day to work and back. Mr. Simmons drove to work and back 232 days last year. Ms. Lee drove to work and back 198 days last year. Who drove more and by how many miles?
Answers
Ms. Lee drove more than Mr. Simmons by 1486 miles.
Mr. Simmons drive in a day = 32 miles / day
Number of days Mr. Simmons drove = 232 days
Now, we will use multiplication.
Total miles Mr. Simmons drove = 232 × 32 miles = 7424 miles.
Ms. Lee drive in a day = 45 miles / day
Number of days Ms. Lee drove = 198 days
Total miles Ms. Lee drove = 198 × 45 miles = 8910 miles.
Ms. Lee drove more than Mr. Simmons by = 8910 - 7424 miles = 1486 miles.
Therefore, Ms. Lee drove more than Mr. Simmons by 1486 miles.
Learn more about multiplication here:
https://brainly.com/question/10873737
#SPJ9
if your study had an alpha value of 0.05 and a power of 80%, calculate the chance that you made a type ii error.
Answers
There is a 20% chance that you made a Type II error in your study with an alpha value of 0.05 and a power of 80%. This means that there is a 20% chance that you failed to detect a true effect or relationship in the population.
To calculate the chance of making a Type II error, we need to understand what Type II error is and how it relates to the alpha value and power of a study.
Type II error, also known as a false negative, occurs when we fail to reject the null hypothesis when it is actually false. In other words, it means we incorrectly conclude that there is no effect or relationship in the population, even though there is one.
The power of a study represents the probability of correctly rejecting the null hypothesis when it is indeed false. It is directly related to the probability of making a Type II error. Therefore, the chance of making a Type II error is equal to 1 minus the power of the study.
Given that the power of the study is 80% (or 0.80), the chance of making a Type II error can be calculated as follows:
Chance of making a Type II error = 1 - Power of the study
= 1 - 0.80
= 0.20 or 20%
Learn more about error here at:
https://brainly.com/question/1191244
#SPJ11
first equation: y = -20x+800
third equation: y = -30x+800
how do the descent and landing time of the third balloon compare with that of the first balloon? What does this mean graphically
Answers
Answer:
Step-by-step explanation: You can look it up and you will get your answer.
I need Help with this Question Plzz!!!
Answers
joseph has 5 less than 3 times the amount of doughnuts as his friend Jerry. Joseph has 13 doughnuts. What amount does Jerry have? Write and solve an equation to show this
Answers
Answer:
18
Step-by-step explanation:
The altitude of an equilateral triangle is 4.2 meters long. Find the perimeter of the triangle. It is a 30,60,90 triangle and please dont use SIN, TAN, COS.
Answers
The perimeter of Equilateral Triangle is 14.547 m.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
The altitude of an equilateral triangle is 4.2 meters long.
let x is the measure of the side of the equilateral.
Using Pythagoras theorem
x = √(4.2)(4.2) + (x/2)(x/2) )
x = √( 4.2)² + (x²/4) )
x² = 17.64 + x²/4
3x²/4 = 17.64
x² = 17.64 (4)/3
x² = 23.52
x= 4.849
So, the perimeter of Equilateral Triangle
= 3 x side
= 3 (4.849)
= 14.547 m
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ1
Give an example of a pair of series an and bn with positive terms where limn rightarrow infinity (an/bn) = 0 and bn diverges, but an converges. (Note this demostrates the contrapositive of the limit comparison test: "If one of an and bn converges and the other diverges, then limn rightarrow infinity (an/bn) = 0 or infinity or DNE. ")
Answers
Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.
Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n
Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))
To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)
As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0
Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.
Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.
To know more about "Limit" refer here:
https://brainly.com/question/30761744#
#SPJ11
In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm find the radiu of the circumcircle
Answers
In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm then the radiu of the circumcircle is 39
A chord is the line segment joining two points of the circumference of a circle as shown in the image attached.
If the chord is passing through the center of the circle then it will become diameter which means the diameter is the longest possible chord inside a circle.
A chord is always within the circumference because it is inside the circle.
Whats the definition of a circumference?
a line that goes around or encloses a circle. : the outer boundary of a figure or area. 3. : the distance around something. the circumference of the earth at the equator.
since ABC is an equilateral triangle
therefore SD bisects BC
BD= BC/2
BD= 36
IN Triangle ABC
since angle BDS = 90 degree
Therefore
BS = 39
learn more about of triangle here
https://brainly.com/question/28757341
#SPJ4
Scuba diver starts at the surface and the sand at a rate of 25 ft./min. write and evaluate a multiplication expression find the death of the scuba driver after six minutes
Answers
The scuba diver will be at a depth of 150 feet after six minutes.
We have,
To find the depth of the scuba diver after six minutes, we can write and evaluate a multiplication expression using the given rate of descent.
Rate of descent: 25 ft/min
Depth after 6 minutes = Rate of descent * Time
Depth after 6 minutes = 25 ft/min * 6 min
Depth after 6 minutes = 150 ft
Therefore,
The scuba diver will be at a depth of 150 feet after six minutes.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Find the principal.
Annual rate of interest
=8%Period =5 years
Total interest = 2900 rupees
Answers
Answer:
7,250.
Step-by-step explanation:
Find the coordinates of the midpoint of line segment AB a. (14, -9 ) b. (-6, 5)
Answers
Answer:
The answer is
( 4 , - 2)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
a. (14, -9 ) b. (-6, 5)
The midpoint is
\(M = ( \frac{14 - 6}{2} \: , \: \frac{ - 9 + 5}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{4}{2} )\)
We have the final answer as
( 4 , - 2)Hope this helps you
The one-to-one function f is defined below.
f(x)= x/8x-3
Find f^-1(x),where f^-1 is the inverse of f. Also state the domain and range of f^-1 in interval notation.
Answers
The inverse of f, f^-1 = 8x / (x + 3)
To find the inverse function, let's consider the following steps:
Step 1: Replace f(x) with y. y = x/8x - 3
Step 2: Swap the x and y variables. x = y/8y - 3
Step 3: Solve for y. x(8y - 3) = y x 8y - 3x = y y = f⁻¹(x) = 8x / x + 3
Therefore, f⁻¹(x) = 8x / (x + 3)
The domain of f⁻¹ is all real numbers except -3, as it is not defined for x = -3.
Hence the domain is (-∞, -3) U (-3, ∞).
The range of f⁻¹ is also all real numbers except 0, as it is not defined for x = 0. Hence the range is (-∞, 0) U (0, ∞).
Thus, the domain and range of f⁻¹ are (-∞, -3) U (-3, ∞) and (-∞, 0) U (0, ∞) respectively, in interval notation.
Learn about " Domain" and "Range": https://brainly.com/question/10197594
#SPJ11
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Answers
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
To know more about values visit :
https://brainly.com/question/30145972
#SPJ11
Can someone have a heart and pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesse! help me I need HELP!!!!!!!!!!!!!!!!!!!!
WHat is the x and y value? that little space I need help filling out.
Answers
Answer:
2
Step-by-step explanation:
In this project we find formulas for the volume enclosed by a hypersphere in n-dimensional space. 1. Use a double integral and trigonometric substitution, together with Formula 64 in the Table of Integrals, to find the area of a circle with radius r. 2. Use a triple integral and trigonometric substitution to find the volume of a sphere with radius r. 3. Use a quadruple integral to find the hypervolume enclosed by the hypersphere x^2 + y^2 + z^2 + w^2 = r^2 in R^4. (Use only trigonometric substitution and the reduction formulas for f sin x dx or integral cos x dx.) 4. Use an n-tuple integral to find the volume enclosed by a hypersphere of radius r in n-dimensional space R. [Hint: The formulas are different for n even and n odd.]
Answers
The area of a circle with radius r is given by the formula A = πr^2. To derive this formula using a double integral and trigonometric substitution, we can use polar coordinates.
Let x = r cos θ and y = r sin θ, where r is the radius and θ is the angle measured counter clockwise from the positive x-axis. Then the circle is described by the equation x^2 + y^2 = r^2, or r^2 = r^2 cos^2 θ + r^2 sin^2 θ. Thus, we can write the area of the circle as:
A = ∫∫D dA
where D is the disk enclosed by the circle and dA is the area element in polar coordinates, which is r dr dθ. Then we have:
A = ∫θ=0..2π ∫r=0..r r dr dθ
Using Formula 64 in the Table of Integrals, we can evaluate the integral as:
A = ∫θ=0..2π r^2/2 dθ = πr^2
which is the formula for the area of a circle with radius r.
The volume of a sphere with radius r is given by the formula V = (4/3)πr^3. To derive this formula using a triple integral and trigonometric substitution, we can use spherical coordinates. Let ρ be the distance from the origin to a point P on the sphere, let θ be the angle between the positive z-axis and the line segment OP, and let φ be the angle between the positive x-axis and the projection of OP onto the xy-plane. Then we have:
x = ρ sin φ cos θ
y = ρ sin φ sin θ
z = ρ cos φ
The sphere is described by the equation x^2 + y^2 + z^2 = r^2, or ρ^2 = r^2. Thus, we can write the volume of the sphere as:
V = ∫∫∫E dV
where E is the region enclosed by the sphere and dV is the volume element in spherical coordinates, which is ρ^2 sin φ dρ dφ dθ. Then we have:
V = ∫θ=0..2π ∫φ=0..π/2 ∫ρ=0..r ρ^2 sin φ dρ dφ dθ
Using the reduction formula for sin^2 x, we can evaluate the integral as:
V = 2π ∫φ=0..π/2 ∫ρ=0..r ρ^2 sin φ dρ dφ
= 2π ∫φ=0..π/2 (r^3/3) sin φ dφ
= (4/3)πr^3
which is the formula for the volume of a sphere with radius r.
The hypervolume enclosed by the hypersphere x^2 + y^2 + z^2 + w^2 = r^2 in R^4 can be found using a quadruple integral. Let u, v, w, and x be the distances from the origin to a point P on the hypersphere in the directions of the positive x-axis, positive y-axis, positive z-axis, and positive w-axis, respectively. Then we have:
u^2 + v^2 + w^2 + x^2 = r^2
We can use spherical coordinates to express u, v, w, and x in terms of ρ, θ, φ, and ψ, where
Visit here to learn more about trigonometric substitution:
brainly.com/question/31701596
#SPJ11
Show Your Work
Please help I’ll mark brainliest
Answers
Answer:
(c)
Step-by-step explanation:
3+2+4 = 9, 4+2= 6- 3= 3
5) Find LM
K
K
9
-4+4x
x-1
L
M
Answers
According to the solving the line segment LM of line KM = 3.
What is line segment?A line segment is defined as the area between two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment includes two fixed or definite endpoints.
What exactly is a line segment?In general, if both end points of a line segment are vertices of such a polygon or polyhedron, the line segment has to be either the edge (of that polygon or polyhedron) if they are both adjacent vertices, or a diagonal. A chord is a line segment whose end points are both on a curve (such as a circle) (of that curve).
According to the given data:KL = 9
LM = x - 1
KM = -4 + 4x
So
KL + LM = KM
Substituting the value we get:
9 + x - 1 = -4 + 4x
8 + x = -4 + 4x
8 + 4 = 4x - x
12 = 3x
x = 4
The value of x = 4 putting the value in the (LM = x - 1):
We get:
LM = x - 1
LM = 4 - 1
= 3
LM = 3
According to the solving the line segment LM of line KM = 3.
To know more about line segment visit:
https://brainly.com/question/25727583
#SPJ9
Is the following a statistical question?
In what year did Thomas Jefferson become president of the United States?
it is on ixl
Answers
Are the following triangles congruent? Why or why not? Yes, AAS Yes, SAS Yes, SSS No, there is not enough information
Answers
The following triangles are congurent
Yes SAS
Which is the first step in simplifying the expression 2(x 3) 5? 2x 2(3) 5 2x 3 5 2 x 3 5 2(5) x 3
Answers
The first step in simplifying the expression 2(x+3)+5 = 2x+2(3)+5.
Given expression in 'x' is 2(x+3)+5.
In order to simplify this expression, we need to expand it by opening the parenthesis. That is, we need to distribute 2 over (x+3) first. For this we multiply 2 into (x+3) and then only we can add 5 to it.
So, 2(x+3) +5 = 2x + 2(3) +5
= 2x +6 +5
= 2x+11
Learn more about simplifying expressions at https://brainly.com/question/723406
#SPJ4
Mary earns $277.30 tutoring. If she works for 23.5 hours, how much money does
she make per hour?
Answers
Answer: $16.06 (rounded to nearest cent)
Step-by-step explanation:
if 2 measurments have the same number of decimal places and te same number of signifigant digits is it ever possibe for the result of an operation
Answers
It is possible for the outcome of an operation to differ between two measurements that share the same number of significant digits and the same number of Decimal places.
Indeed, it is conceivable. For instance, both 0.2 and 0.2 have one significant digit and one decimal place. Their product, 0.04, has two decimal places but only one significant digit.
The most common method for distinguishing between integers and non-integers is the decimal numeral system. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation.
The number of digits to the right of the decimal point is called the number of decimal places, and the number of significant digits is the total number of digits that do not include the decimal point, including all leading zeros and some trailing zeros.
To know more about Decimal places,
brainly.com/question/29622901
#SPJ4
Question:
Is it ever possible for the outcome of an operation performed using these measurements to have a different number of decimal places or significant digits than the original measurements if two measurements have the same number of significant digits and decimal places? Explain.
What is the value of x in the figure? In this diagram
Answers
Answer: E, and F
Step-by-step explanation:
I need help with this please
Answers
The angle in radian at which p travels with when the wheel makes 3/4 of complete revolution is 3/2π.
What is angle of revolution?A revolution in math is a full rotation, or a complete, 360-degree turn.
To measure angle there are different measures we can use. we can use degree or radian.
The relationship between degrees and radian is
180° = π
π is a symbol is radian that shows half revolution.
since 1 revolution = 360
360° = 2π
3/4 of 360 = 270°
270° in radian = 270/180
= 3/2π radian
therefore the angle of p with 3/4 revolution is 3/2π
learn more about revolution from
https://brainly.com/question/10287362
#SPJ1
What is the arithmetic mean of the following numbers?
1, 2, 4, 6, 4
Answers
Answer:
3.4
Step-by-step explanation:
2) Solve for A
-0.2a – 4.4 = 6.2
Write your answer as a decimal.
a = ?
Answers
Answer:
a=-53
Step-by-step explanation:
-0.2a-4.4=6.2
+4.4 on both sides
-0.2a=10.6
divide -0.2 on both sides
a=-53
What's the Correlation (Strong vs. Weak and Pos. vs. Neg.)
Answers
Correlation refers to the statistical relationship between two or more variables. A strong correlation means that there is a significant association between the variables, while a weak correlation suggests that there is little to no relationship between them.
Additionally, correlations can be either positive or negative. A positive correlation means that as one variable increases, so does the other, while a negative correlation means that as one variable increases, the other decreases.
To determine the strength and direction of a correlation, one can use a correlation coefficient. This measure ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation. When the correlation coefficient is close to -1 or +1, this suggests a strong correlation, while coefficients closer to 0 indicate a weaker correlation.
Overall, understanding the correlation between variables is essential for analyzing data and making informed decisions. By recognizing the strength and direction of a correlation, one can gain insights into the relationships between different variables and how they impact one another.
Learn more about variables here:
brainly.com/question/13733697
#SPJ11
What is the
vertex of this
absolute value
function?
Answers
Answer:
0,0
Step-by-step explanation:
See the image below:)
