Answers
Option C. ΔABC rotates 180° counterclockwise about the origin and dilated by a scale factor of 2/5 centered at the origin.
Define the term a transformations in graph?In graph theory, a transformation across origin is a type of transformation that involves reflecting a graph across the origin of a coordinate plane. This transformation can be described in terms of clockwise and counterclockwise rotations around the origin.
When a graph is reflected across the origin, all points in the graph are multiplied by a factor of -1, which results in a mirror image of the original graph across the x-axis and y-axis.
To describe the direction of traversal around a cycle in a graph after a transformation across origin, we can use the terms clockwise and counterclockwise as well.
Clockwise direction refers to the direction of traversal around a cycle in the transformed graph that follows the order of the vertices in a clockwise manner, starting from a specified vertex.
Counterclockwise direction refers to the opposite direction of traversal around a cycle in the transformed graph, following the order of the vertices in a counterclockwise manner, starting from a specified vertex.
According to the graph the transformations of the triangle ABC to the triangle A'B'C'
It shows that ΔABC rotates 180° counterclockwise about the origin and dilated by a scale factor of 2/5 centered at the origin.
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Related Questions
this is your question
Answers
Answer:
The probability of pulling a chicken is 97/221 (or 43.89%), cow is 47/221 (or 21.27%) and the probability of pulling a human is 77/221 (or 34.84%)
Step-by-step explanation:
I hope this helps. You add all the numbers together, and then divide the number of animals abducted (single type) by the total number of animals abducted.
Answer:
Chicken: 43.89
Cow: 21.27%
Human: 34.84%
4,7,14,49, next number is what
Answers
kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf. how fast is kellys knitting speed?
Answers
Answer:
9/8 per hour
hope this helps if so please mark me brianliest
Find the value of cos H rounded to the nearest hundredth, if necessary.
Answers
Given:-
A right angled triangle right angled at I is given to us.The measure of the longest side (hypotenuse) is 41 and the other two sides are 40 and 9 .To find:-
The value of cosH .Answer:-
In the given right angled triangle, cosine is the ratio of base and hypotenuse. In this triangle with respect to angle H , IH is base, IJ is perpendicular and JH is hypotenuse. And their measures are ,
HJ = 41 IH = 40IJ = 9 .And as mentioned earlier, we can find cosH as ,
\(\implies\cos\theta =\dfrac{b}{h} \\\)
\(\implies \cos H =\dfrac{IH}{HJ} \\\)
On substituting the respective values, we have;
\(\implies\cos H = \dfrac{40}{41}\\\)
\(\implies \cos H = 0.975 \)
Value rounded to nearest hundred will be ,
\(\implies \cos H =\boxed{0.98}\)
Hence the value of cos H 0.98 .
Answer:
cos H = 0.98 (rounded to the nearest hundredth)
Step-by-step explanation:
Answer:
\(\cos R=\dfrac{3}{5}\)
Step-by-step explanation:
To find the cosine of an angle in a right triangle, we can use the cosine trigonometric ratio.
The cosine trigonometric ratio is the ratio of the side adjacent to the angle to the hypotenuse.
\(\boxed{\cos \theta=\sf \dfrac{A}{H}}\)
From inspection of the given right triangle HIJ, the side adjacent to angle H is IH, and the hypotenuse is HJ. Therefore:
θ = HA = IH = 40H = HJ = 41Substitute these values into the formula:
\(\implies \cos H=\dfrac{40}{41}\)
As 41 is a prime number, the fraction cannot be reduced any further.
The value of cos H rounded to the nearest hundredth is:
\(\implies \cos H=0.975609756...\)
\(\implies \cos H=0.98\)
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
D
3
20 of 21
If the pointer cannot land on a line, how many different outcomes of a number and a color are possible?
v
Spinner B
Yellow
Brown
12 13
Red
Answers
Answer:
Step-by-step explanation:
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
You have been hired t0 design family-friendly see-saw. Your design will featurc uniform board (mass M , length L) that can be moved so that the pivot is distance d from the center of the board. This will allow riders t0 achieve static equilibrium even if they are of different mass_ as most people are _ You have decided that each rider will be positioned so that hishher center of mass will be distance Xoffset from the end of the board when seated as shown. You have selected child of mass m (shown on the right) , and an adult of mass times the mass of the child (shown On the left) to test out your prototype. (a) Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive_ Xoffct Xottct (b) Derive an expression for the torque applied by the child rider (on the right) in terms of given quantities and variables available in the palette . Assume counterclockwise is positive. Derive an expression for the torque applied by the board in terms of given quantities and variables available in the palette_ Othcexpertta.COm Determine the distance d in terms of n, g and the masses and lengths in the problem. Determine the magnitude of the force exerted on the pivot point by the see-saw while in use in terms of given quantities and variables available in the palette'
Answers
Where F_pivot is the magnitude of the force exerted on the pivot point.
What are perpendicular lines?
Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, if you draw a line perpendicular to another line, the two lines will form four right angles at the point where they intersect.
(a) The torque applied by the adult rider (on the left) can be calculated as the product of the force applied by the rider and the perpendicular distance from the pivot to the force. Let F_a be the force applied by the adult rider and let r_a be the perpendicular distance from the pivot to the force. Then, the torque applied by the adult rider is:
τ_a = F_a * r_a
The perpendicular distance r_a can be calculated using the Pythagorean theorem:
r_a = sqrt((L/2 - d)^2 + Xoffset^2)
Therefore, the torque applied by the adult rider is:
τ_a = F_a * sqrt((L/2 - d)^2 + Xoffset^2)
(b) Similarly, the torque applied by the child rider (on the right) can be calculated as:
τ_c = F_c * sqrt((L/2 + d)^2 + Xoffset^2)
where F_c is the force applied by the child rider and r_c is the perpendicular distance from the pivot to the force, which can be calculated using the Pythagorean theorem.
(c) The torque applied by the board can be calculated as the sum of the torques applied by the two riders:
τ_b = τ_a + τ_c
Substituting the expressions for τ_a and τ_c, we get:
τ_b = F_a * sqrt((L/2 - d)^2 + Xoffset^2) + F_c * sqrt((L/2 + d)^2 + Xoffset^2)
(d) To determine the distance d in terms of given quantities and variables, we can use the condition for static equilibrium, which requires that the sum of the torques about the pivot point is zero:
τ_a + τ_c = 0
Substituting the expressions for τ_a and τ_c and simplifying, we get:
F_a * (L/2 - d) = F_c * (L/2 + d)
Solving for d, we get:
d = (F_a/F_c - 1) * L/4
Substituting F_a = Mg and F_c = mg, where M is the mass of the adult rider, m is the mass of the child rider, and g is the acceleration due to gravity, we get:
d = (M/m - 1) * L/4
(e) The magnitude of the force exerted on the pivot point by the see-saw while in use can be calculated using the condition for static equilibrium, which requires that the sum of the forces in the vertical direction is zero:
F_a + F_c = Mg + mg
Substituting F_a = Mg and F_c = mg, we get:
F_pivot = Mg + mg
Therefore, where F_pivot is the magnitude of the force exerted on the pivot point.
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For the following exercises, start with the graph of f (x) = 4x. Then write a function that results from the given
transformation.
32. Shift f (x) 4 units upward
33. Shift f (x) 3 units downward
34. Shift f (x) 2 units left
35. Shift f (x) 5 units right
36. Refl ct f (x) about the x-axis
37. Refl ct f (x) about the y-axis
Answers
32. g(x) = 4x + 4
This transformation shifts the graph
of f(x) 4 units upward.
33. g(x) = 4x-3
This transformation shifts the graph
of f(x) 3 units downward.
34. g(x)=4(x+2)
This transformation shifts the graph
of f(x) 2 units left.
35. g(x) = 4(x-5)
This transformation shifts the graph
of f(x) 5 units right.
36. g(x) = -4x
This transformation reflects the graph
of f(x) about the x-axis.
37. g(x) = -4x
This transformation reflects the graph
of f(x) about the y-axis.
chatGPT
2. PHOTOGRAPHS Tracy is 4 feet tall and
her father is 6 feet tall. In a photograph
of the two of them standing side by side,
Tracy's image is 2 inches tall on the scale
Although their images are much
smaller, the ratio of their heights
remains the same. How tall is Tracy's
father's image in the photo? What is
the scale of the photo?
Answers
Answer:
below
Step-by-step explanation:
Scale is 1 inch = 2 feet
Tracy's height is 1/2 the number of feet in inches
her father's height is then 3 inches
pls help!! Thank you!
Answers
Answer:
C
Step-by-step explanation:
\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)
The denominator cannot equal 0, so:
\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)
I not understand this any help please answer and explain please
Answers
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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1 1/2 decided by 1/5 is what
Answers
Answer:
7.5
Step-by-step explanation:
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Answers
Check the picture below.
Calvin has been trusted to manage the school candy store, but he is taking advantage of the situation. For every seven pieces of candy that a student buys, Calvin helps himself to three pieces of candy. If Marty buys 42 pieces of candy, how many will Calvin take for himself? Show your work or explain your reasoning.
Answers
Answer:
18 piecesStep-by-step explanation:
Calvin takes 3 pieces of candy for each 7 pieces sold.
If 42 pieces sold, Calvin takes x pieces.
Use ratios to find the value of x:
3/7 = x/42x = 3*42/7x = 18please help please...
Answers
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
Answers
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Answers
The statements that are true are:
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Options A, B, D, E, and F.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Clayton could use the relationship (x, y) → (y, x) to find the points of the image.
This is the y = x reflection rule.
This is true.
Clayton could negate both the x and y values in the points to find the points of the image.
Reflection of (x, y) along the x-axis and y-axis consecutively will give us
(-x, -y).
This is true.
C’ will remain in the same location as C because it is on the line of reflection.
This is not true.
C’ will move because all points move in a reflection.
This is true.
The image and the pre-image will be congruent triangles.
This is true.
The image and pre-image will not have the same orientation because reflections flip figures.
This is true.
Thus,
All statements are true except the statement:
C’ will remain in the same location as C because it is on the line of reflection.
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1. Find the equation of the line that passes through the point
(2,12) and is parallel to the equation below.
y = 40 - 1
A. y = 43 – 20
B.y = 45 + 4
C. y = + 14
D.y = x + 10
Answers
Answer:
None of the above ? （the equation should be y=12）
Step-by-step explanation:
the line parallel to line y=40-1=39 means it's a horizontal line. Which means it's y coordinate is also a constant. Since it pass through （2,12）,it means the constant of y is 12.
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answers
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
the following pair of triangles are similar. find the value of x 10 x x+2 x+14
Answers
The numerical value of x in the similar pair of triangle is 10.
What is the numerical value of x?A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
From the diagram,
Side A of the small triangle = 10
Side B of the small triangle = x + 2
Side A of the Big triangle = 10 + x
Side B of the big triangle = x + 14
Hence;
Ratio of Side A to Side B of the small triangle = 10 / x + 2
Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14
Since the triangle area similar, equate the two ratio and solve for x.
10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )
Cross multiply
10( x + 14 ) = ( 10 + x )( x + 2 )
Expand using FOIL method
10x + 140 = 10x + 20 + x² + 2x
10x + 140 = x² + 12x + 20
x² + 12x + 20 = 10x + 140
x² + 12x + 20 - 10x - 140 = 0
x² + 2x - 120 = 0
Factor the left side of the equation
( x - 10 )( x + 12 ) = 0
Hence;
x - 10 = 0 and x + 12 = 0
x = 10 and x = -12
Since the dimension of the triangle cannot be negative,
x = 10
Therefore, the value of x is 10.
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need help asap. pls somebody help.
Answers
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
A bag contains 1 gold marbles, 6 silver marbles, and
28 black marbles. Someone offers to play this game:
You randomly select one marble from the bag. If it
is gold, you win $3. If it is silver, you win $2. If it is
black, you lose $1.
What is your expected value if you play this game?
Answers
Step-by-step explanation:
the expected value is the sum of all values multiplied by their corresponding probabilities.
and a probability is always
desired cases / totally possible cases.
in the bag are
28 + 6 + 1 = 35 marbles
the probability to pull the gold is
1/35
the probability to pull a silver is
6/35
the probability to pull a black is
28/35 = 4/5
the expected value = $3×1/35 + $2×6/35 - $1×28/35 =
= 3/35 + 12/35 - 28/35 =
= -13/35 = -0.371428571... ≈
≈ -$0.37
that means (like with all games of that kind like all casino games) the bank will win in the long run.
your only chance to win is to play very few times and get a winner by pure chance. the longer you play you might actually hit a winner somewhere in between, but the surer you still lose in total.
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Answers
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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a. -6 + 2x + 4 + 3x - (-2)
What is the answer?
Answers
Answer:
5x
Step-by-step explanation:
-6 + 2x + 4 + 3x - (-2)
rearrange to make it easier to solve
2x + 3x - 6 + 4 - (-2)
add like terms, negative time negative is positive
5x - 2 + 2
5x
What is the missing number?
Question 4 options:
Answers
Answer:
i dont see it
Step-by-step explanation:
select all zeros of the function (x)=(x+10)(x-5) (x+1)
Answers
have a great day :)
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36X13=36(10+3)=360+108=
Answers
27. Write a linear equation in slope-intercept form. An auto repair shop
charges $ 40 plus $ 20 per hour.
Help plz
Answers
Answer:
Put the 4 at the beggining at line then always at +20 to it
Question
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay
for the trip?
Answers
Answer:
13 hours
Step-by-step explanation:
Given that Daniel will incur the following costs:
Transportation : $310
Food : $275
Hotel : $70 per night for 6 nights = $70 x 6 = $420
his total cost = $ (310 + 275 + 420) = $1005
it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260
hence he needs to make up the remaining $260 by tutoring for $20 per hour
number of hours to make up the $260
= $260 ÷ $20/hr
= 13 hours
86051472 in numerical and word form
Answers
Which number doesn't share the same pattern as
2,20, 4,8,300