This diagram shows a pre-image △ABC and its image, △A′′B′′C′′ , after a series of transformations.
Select from the drop-down menus to correctly complete the statements.
△ABC is
1. reflected across the y-axis.
2. rotated 90 degrees counterclockwise about the origin.
3. translated 4 units right
to become △A′B′C′. Then △A′B′C′ is
1. reflected across the x-axis.
2. reflected across the line y = x
3. rotated 90 degrees counterclockwise about the origin
to become △A′′B′′C′′ . Because the transformations are
1. both rigid
2.not both rigid,
The pre-image and image are
1. congruent
2. not congruent
Answers
Using translation concepts, we have that:
△ABC is 3. translated 4 units right to become △A′B′C′. Then, △A′B′C′ is 3. rotated 90 degrees counterclockwise about the origin to become △A′′B′′C′′ .Because the transformations are both rigid, the pre-image and the image are congruent.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:
(x,y) -> (x + 4, y).
Hence it was translated 4 units right.
On the translation of △A′B′C′ to △A′′B′′C′', the rule is given by:
(x,y) -> (-y,x).
Hence it was rotated 90 degrees counterclockwise about the origin.
The triangle keeps the same size after the translations, hence:
Because the transformations are both rigid, the pre-image and the image are congruent.
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Related Questions
The quadrilateral ABCD is to be reflected across the line y = x, as shown in the diagram, to give a new quadrilateral, A'B'C'D'
B
A
7
6
5
4
3
4
-2
-3
-4
-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8
-5
-6
D
-7
y=x
What are the coordinates of A?
Answers
Using translation concepts, the coordinates of A' are given as follows:
A' (6,-2).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a translation over the line y = x is given by:
(x,y) -> (y,x).
The coordinates of A are (-2,6), hence the coordinates of A' are given as follows:
A' (6,-2).
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A spinner with 6 equally sized slices has 2 blue slices, 1 red slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice?
Write your answer as a fraction in simplest form.
Answers
Answer:
3/6
Step-by-step explanation:
i think
What is the image of the point (-10, 6) after a 90 degree counterclockwise
rotation?
Answers
After a 90-degree counterclockwise rotation of the point (-10, 6); the image point will be (- 6, - 10) .
As we all know, when a point ( x, y ) rotates counterclockwise, then the new coordinates of the given point are ( -y, x ).
Here the given point is (-10, 6) , where x = -10 and y = 6 ; as we know after rotation new x will be -6 and new y will be -10 .
So, after rotation the new coordinates will be ( -6 , -10 ) .
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Raymond has saved $50, and Felicia has saved $30. Each week, Felicia saves $15 and Raymond saves $10.
The following is true:
n=the number of weeks
R= the amount Raymond saves
F=the amount Felicia saves
Create equations to represent how much Raymond and Felicia will save after n weeks.
Answers
Answer:
50+10n for Raymond and 30+15n for Felicia
Step-by-step explanation:
N is for the amount of weeks times the amount saved per week then add the amount saved in the beginning.
A bathtub is filled with 38 1/2 gallons of water. If 2 3/5 gallens splash out, how much water is left in the tub
Answers
Answer: 35.9
Step-by-step explanation:
Answer:
The answer would be 35 9/10 gallons of water left.
HELP URGENT how many minutes does it take for omar to print the pages on tuesday?
Answers
An equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
We have been given Omar uses a laser printer that prints 30 pages per minute.
So, the rate of printing = 30 pages/ minute
On Monday, he prints 8 pages.
Omar prints a total of 143 pages on Monday and Tuesday.
So, the number of pages printed on Tuesday are:
143 - 8 = 135
So On Tuesday, Omar prints 135 pages.
let m be the amount of time, in minutes, he spends printing on Tuesday.
We need to find an equation to model the amount of time Omar spends printing on Tuesday.
number of pages printed = (rate of printing) × (amount of time, in minutes)
Using this formula for given example, we get an equation,
135 = 30 × m
Therefore, an equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
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Your question was incomplete. Please refer the content below
Omar uses a laser printer that prints 30 pages per minute. on Monday, he prints 8 pages. on Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. let m be the amount of time, in minutes, he spends printing on Tuesday. part a create an equation using m to model the amount of time Omar spends printing on Tuesday.
Joyce's dad packs her lunch and always packs a yogurt. Joyce knows there are five yogurts in the refrigerator: one raspberry, two strawberry, one blueberry, and one vanilla. Her dad usually reaches into the refrigerator and randomly grabs a yogurt. which flavor is she most likely to have in her lunch today?
Answers
She is most likely to get strawberry in her lunch today.
This problem can be understood if we know the concept of probability.
In probability we just have to calculate what are the chances of any favorable outcome to occur by dividing with the total number of outcomes.
Here, Joyce's dad packs her lunch with one Yoghurt everyday.
And there are 5 yoghurts in the refrigerator.
The probability of getting raspberry flavor = 1/5
The probability of getting a strawberry flavor is = 2/5
The probability of getting a blueberry flavor is = 1/5
The probability of getting vanilla flavor is = 1/5
So, the highest probability is of getting strawberry flavor.
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please refer to the image!!
Answers
The expression for f(x) is -3x² - 2
What are different form of Transformation ?Transformation can be any of the following.
TranslationalRotationalReflectionEnlargementGiven that g(x) = -3x² + 7
if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,
f(x) = -3x² + 7 - 9
f(x) = -3x² - 2
Therefore, the expression for f(x) is -3x² - 2
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1/2 of the candles on Claire's birthday cake are pink of the candles are green. The rest 2/10 are red What fraction of the candles is red?
Answers
According to the solving the fraction of the candles is red = 7/10.
What exactly is a fraction in mathematics?A fraction is a portion of a whole. In arithmetic, each number is represented as a quotient, which is the numerator divided by the denominator. In a simple fraction, are both integers. A complicated fraction contains a fraction in either the numerator or denominator.
How do you calculate a fraction?To calculate a fraction of either a number, divide it by the fraction's denominator, then multiply the result by the fraction's numerator. For example, if we wanted to figure out what 3/8 of 24 is, we might divide 24 by 8. (the denominator of the fraction).
According to the given data:Let 1 would be the total,
So,
2/10 are green.
1/2 of 1 is 1/2, so 1/2 candles are pink.
1/5+1/2.
1/5+1/2 = red candles
there is ultimately 7/10 candles that are red.
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I understand that the question you are looking for is:
1/2 of the candles on Claire's birthday cake are pink. 2/10 of the candles are green. The rest are red. What fraction of the candles is red?
−t+(5−t) 3; when t=3
Answers
Answer: 3
Step-by-step explanation:
t=3
−t+(5−t) 3=
−t+(5−t)*3=
−t+3(5−t)=
−3+3(5−3)=
-3+15-9=
12-9=3
Hence, the answer is 3.
Answer:
Given t = 3,
[tex]\sf -t + (5 - t) * 3\\-3 + (5 - 3) * 3\\5 - 3\\= 2\\= -3 + 2\\= 1\\= 1 * 3\\= 3[/tex]
Therefore, your answer is 3.
Help please asap!!!!
Answers
A, perpendicular line
1. A 5 pound bag of dog treats cost $15.80. What is the uni
cost of the dog treats per pound?
Answers
Answer: $3.16 per pound
Step-by-step explanation:
$15.8/5=$3.16 per pound
Find the quotient of x^5 − 2x^3 + 1 / x^2 − 6 by any appropriate method. Given that the initial expression is of the form a(x)/b(x) , rewrite the quotient in the form q(x)+r(x)/b(x) , noting that r(x) could possibly be zero. Identify q(x) , r(x) , and b(x) .
q(x)=
r(x)=
b(x)=
Answers
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6), and the identification q(x) , r(x) , and b(x) are as follow :q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
Given details in the following question are as follows:
x^5 − 2x^3 + 1 is divided by x^2 − 6
By using the divisor method :
x^5 − 2x^3 + 1 / x^2 − 6 = x3 +(4x^3+1 is divided by x^2 − 6)
= x^3 +4x +(24x +1 divided by x^2 − 6)
where we can see that the q(x) +r(x)/b(x) is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
What is the divisor method?A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor.
Divisor Formula
The divisor formula is formed for two situations - with or without a remainder:
If the remainder is 0, then Divisor = Dividend ÷ Quotient.
If the remainder is not 0, then Divisor = (Dividend - Remainder) ÷ Quotient
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The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels
since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005,
the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase.
Round to the nearest tenth of a percent.
Increase carbon dioxide levels:
Percent increase:
196
Submit Question
parts per million
Question Help: Video Message instructor
Answers
Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.
Step-by-step explanation:
Translate the following into an expression or equation.
Five more than twice a number.
Answers
Answer: 5>x
Step-by-step explanation: hope this right
Answer: 2x+5
Step-by-step explanation:
Five more is adding 5
Twice a number would be 2 times something so we use a variable as "a number"
Susan Marciano invested part of her 29000 bonus in a fund that paid an 11
% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was 2740.
Answers
The amount invested in the in account that had an 11% profit is $26,000
The amount invested in the in account that had a 4% loss is $3,000.
What are the linear equations?a + b = 29,000 equation 1
0.11a - 0.04b = 2740 equation 2
Where:
a = amount invested in the account that had an 11% profit
b = = amount invested in the account that had a 4% loss
How much was invested in each account?
Multiply equation 1 by 0.11
0.11a + 0.11b = 3190 equation 3
Subtract equation 2 from equation 3
0.15b = 450
Divide both sides of the equation by 0.15
b = 3000
Subtract 3000 from 29,000
a = 29,000 - 3,000 = 26,000
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Use function notation to write the equation of the line.
please help
Answers
Answer:
f(x)=3
Step-by-step explanation:
equal to y=3 because the lime is horizontal meaning each point has the same y value
define terminating.math
Answers
Answer:numbers
Step-by-step explanation:
numbrres and letters
A decimal number has 2 digits to the right of it's decimal point. If we round it to the nearest tenth, the result is 18.6. What is the maximum possible value of this decimal ?
Answers
This number can have a maximum value of 18.64.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Non-recurring (non-repeating or terminating, for example), recurring (repeating or non-terminating, for example), and decimal fractions are the three types of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, when rounded to the nearest tenths, the number is 18.59.
Now, look at the number to the right of it.If that number is 5 or higher, we round the 5 to a 6.But if that number is 4 or lower, the number remains a 5.18.55 rounded to the nearest tenths equals 18.6 (because the number to the right of 5 is 5, we round up to 18.6)18.54 rounded to tenths = 18.5 (because the number to the right of the 5 is 4, so we round it to 18.5).Therefore, this number can have a maximum value of 18.64.
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Describe the path of a baseball in terms of the forces, balanced or unbalanced, that are acting on it.(1 point)
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. The forces remain unbalanced while the ball is traveling through the air at a constant speed. The forces only return to being balanced once the ball makes contact with the catcher's glove, preventing it from moving.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. The forces remain unbalanced while the ball is traveling through the air at a constant speed. The forces only return to being balanced once the ball makes contact with the catcher's glove, preventing it from moving.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release. The forces remain unbalanced while the ball is traveling through the air at a constant speed and when the ball hits the catcher's glove and slows down. The forces only return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release. The forces remain unbalanced while the ball is traveling through the air at a constant speed and when the ball hits the catcher's glove and slows down. The forces only return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's glove and slows down. They then return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's glove and slows down. They then return to being balanced once the ball is completely at rest in the catcher's glove.
The baseball is at rest in the pitcher's glove, meaning the forces are balanced, and remain balanced during the pitcher's windup since the ball is still in contact with the glove. During the release, the forces become unbalanced and remain unbalanced as the ball travels through the air at a constant speed. The forces become balanced again the moment the ball makes contact with the catcher's glove.
Answers
The path of the ball in terms of the balanced or unbalanced forces that act on it is described by the following option;
The baseball is at rest in the pitcher's glove, meaning the forces are balanced. The forces are unbalanced during the pitcher's windup and release since the ball is moving. They then return to being balanced while the ball is traveling through the air at a constant speed. The forces become unbalanced when the ball hits the catcher's gloves and slows down. They then return to being balanced once the ball is completely at rest in the catcher's gloveHow can the path of the baseball be described?According to Newton's laws of motion, a body remains at rest or maintains a uniform motion in a straight line unless unbalanced forces are acting on it.
Therefore;
The forces are balanced when the ball is at rest in the pitcher's glove.
While the ball is made to move during the pitcher's windup and release, the forces are unbalanced.
The forces are balanced while the ball is traveling at a constant speed (uniform motion).
When the ball's speed is changed as it hits the catcher's gloves, the forces are unbalanced.
When the ball is at rest in the catcher's gloves, the forces are balanced.
The correct option is therefore the 6th option
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Write the following numbers
In order from least to greatest
Answers
[(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
As per question statement, we are provided with 5 random numbers:
[(3/4), -(√5), -3, 2.5 and 0].
We are required to rearrange the above mentioned numbers in their ascending order.
We know from basic mathematical knowledge that, any number of integer or fraction with a negative sign is less than Zero or any other positive number.
Here, we have two negative quantities [-(√5) and (-3)]. Since [tex]4 < 5 < 9\\or, \sqrt{4} < \sqrt{5} < \sqrt{9} \\or,2 < \sqrt{5} < 3\\or,(-2) > [-(\sqrt{5})] > (-3)\\or,(-3) < [-(\sqrt{5})] < (-2)[/tex]
That is, we have established our required relation between the negative numbers.
We also know that, zero is the midpoint of the number line and any other positive number is greater than zero while any negative number is less than zero. Hence, [tex][(-3) < -(\sqrt{5}) < 0][/tex] and [tex](0 < \frac{3}{4}),(0 < 2.5)[/tex].
Now, between (3/4) and 2.5, since (3/4) is a proper fraction, it means that (3/4) is less than 1, and since (1 < 2.5), therefore, [tex](\frac{3}{4} < 2.5)[/tex].
Hence, [(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
Ascending Order: In mathematics and also in any field of daily life, arranging a set of values starting with the least one, then the second least, then the third least and so on till the greatest value is known as an Ascending Order.To learn more about Ascending Order, click on the link below.
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15 Points help ASAP!!!
v Simplify This equation v
6 ⋅ 7 - 3^2 ⋅ 9+4^3
Answers
Answer42 - 2197
Step-by-step explanation:
4 is multipled by the difference of 5 and a number.
Answers
Answer:
Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4
pls help with math. :(
Answers
Answer:
I would say 9 miles
Step-by-step explanation:
He would have to be HAULING it to run 6 miles in 8 minutes lol.
But, I think it's 9 miles
Answer:
Tom will run 9 miles in 12 minutes.
Step-by-step explanation:
60 PTS, BRAINLIEST, 5-STAR, THANKS.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Answers
Step-by-step explanation:
Add everything and then equate it to 360 and when you have found x, substitute it in A and B
1/5 x - 4 = 3
maths exercise 4.4 1st question b part
class 7
Answers
The value of x in the expression is 35
How to calculate the value of x in the expression ?The expression is written as
1/5x - 4 = 3
collect the like terms of both sides to get the value of x
1/5x = 3 + 4
1/5x= 7
Divide both sides by the coefficient of x which is 1.5
1/5x ÷ 1/5 = 7 ÷ 1/5
x= 7 ÷ 1/5
x= 7 × 5/1
x= 35
Hence the value of x in the expression is 35
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A rectangle has a perimeter of 24 units. If the rectangle is dilated so that its new perimeter is 12 units, what is true about the dilation?
The dilation is an enlargement.
The dilation has a translation factor of 2.
The dilation has a scale factor of 2.
The dilation has a scale factor of 0.5.
Answers
The true statement about the dilation is (d) The dilation has a scale factor of 0.5.
How to determine the true statement?The given parameters are
Initial perimeter = 24 units
New perimeter = 12 units
The scale factor of dilation is calculated as
Scale factor = New perimeter/Initial perimeter
So, we have
Scale factor = 12/24
Evaluate
Scale factor = 0.5
Hence, the true statement about the dilation is (d) The dilation has a scale factor of 0.5.
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The equation of the line that goes through the point (2,2) and is parallel to the line going through the points (-1,6) and (1,5) can be written in the form y=mx+b where m is what and b is what?
Answers
Answer:
m = -1/2b = 3Step-by-step explanation:
You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).
SlopeThe parallel line will have the same slope. The slope is given by the equation ...
m = (y2 -y1)/(x2 -x1)
m = (5 -6)/(1 -(-1))
m = -1/2
InterceptWe need to find the y-intercept of the desired line. Solving the equation for "b", we get ...
y = mx +b
b = y -mx . . . . . . . subtract mx to find b
b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)
b = 2 +1
b = 3
The equation we want is ...
y = -1/2x +3
ESTIMATE CUBE ROOTS
Which two integers is
3 v12 between?
Answers
Answer:
between 2 and
Step-by-step explanation:
Answer:
between
2 and
Step-by-step explanation:
Aircraft A has 127 seats more than aircraft B. If their total number seats it 505, find the number of seats for each aircraft
Answers
In linear equation ,316 is the number of seats for each aircraft .
What are instances of linear equations?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Aircraft B: x seats
Aircraft A: x+ 127 (127 more than B)
Total seats on both is 505.
So, x+127+x = 505
Combine like terms
2x+127 = 505
Subtract by 127 both sides
2x = 505-127 = 378
Divide by 2 on both sides
x = 189 seats (B)
x + 127 =189 + 127 = 316 (A)
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