For the function g(x) = 4x – 48, find g(-4).-4.)(Enter your answer as Ø if the function does not have a value at x =Provide your answer below:g{ – 4)=
Answers
Solution:
Given:
[tex]g(x)=\sqrt[3]{4x-48}[/tex]g(-4) means the value of g(x) when x = -4
Substituting x = -4 into the function,
[tex]\begin{gathered} g(x)=\sqrt[3]{4x-48} \\ g(-4)=\sqrt[3]{4(-4)_{}-48} \\ g(-4)=\sqrt[3]{-16_{}-48} \\ g(-4)=\sqrt[3]{-64} \\ g(-4)=-4 \end{gathered}[/tex]Also, showing the function on a graph using a graph plotter, the function is as plotted below;
The point when x = -4 corresponds to y = -4
Therefore,
[tex]g(-4)=-4[/tex]
Related Questions
Simplify and write an exponential form (2^3) (2^5•2^0x^5/ 3^2x^3y^4)
Answers
Answer:
8 · (32 · x^5 / 9 x^3 y^4)
What is the image point of (-1,9) after the transformation R 270∘ ∘r y-axis?
Answers
The image point of the point (-1, 9) after the transformation R270° or y-axis as required in the task content is; (1, 9).
What is the image point of (-1,9) after the transformation R 270∘?It follows from the task content that the image of the point under the rotation transformation; R270° be determined.
Since the pre-image point (-1, 9) exists in the 2nd quadrant, it follows that the transformation; R270° indicates a reflection over the y-axis.
Hence, only the x-coordinate of the pre-image changes sign and therefore, the image is; (1,9).
Ultimately, the image point is; (1, 9).
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A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.
Which expression represents the volume, in cubic units, of the composite figure?
(Four-thirds)π(103) + π(102)(28)
(Four-thirds)π(203) + π(202)(28)
2(Four-thirds)π(103) + π(102)(28)
2(Four-thirds)π(203) + π(202)(28)
Answers
The expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .
In the question ,
it is given that
the composite figure has a cylinder and two hemisphere , one at top and other at bottom,
Formula for Volume of Cylinder = πr²h ,where ,
r and h are radius and height of cylinder .
,
volume of Hemisphere = (2/3)πr³
where , r is the radius .
given the diameter of cylinder = 20
hence ,the radius of the cylinder = 10
and height of the cylinder = 28
So , the volume of cylinder = π(10)²(28) ...(i)
since half sphere is stacked on the top and the bottom of the cylinder
the radius of sphere is also = 10
So, the volume of the one Hemisphere = (2/3)π(10)³
the volume of the two Hemisphere = 2*(2/3)π(10)³
= (4/3)π(10)³ ....(ii)
The Volume of the composite figure = volume of cylinder + volume of the two Hemispheres
Substituting the values from (i) and (ii) , we get
Volume of the composite figure = π(10)²(28) + (4/3)π(10)³
Rewriting we get
= (4/3)π(10)³ + π(10)²(28)
in words , it is
= (Four-thirds)π(10)³ + π(10)²(28)
Therefore , the expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .
The given question is incomplete , the complete question is
A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.
Which expression represents the volume, in cubic units, of the composite figure?
(a) (Four-thirds)π(10)³ + π(10)²(28)
(b) (Four-thirds)π(20)³ + π(20)²(28)
(c) 2(Four-thirds)π(10)³ + π(10)²(28)
(d) 2(Four-thirds)π(20)³ + π(20)²(28)
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Answer:
Option A
Step-by-step explanation:
EDGE
Determine the x- and y-intercepts of the graph of x + 3y = 9.
Then plot the intercepts to graph the equation.
Line
Answers
x intercept (9, 0) and y intercept (0, 3)
Equation in y intercept form is
y = -1/3x + 3
Step by step
x + 3y = 9
Change this into y intercept form
3y = -1x + 9
Divide both sides by 3 to isolate y
3/3 y = -1/3x + 9/3
y = -1/3x + 3 is your equation
Your points to graph
Using your original equation
x + 3y = 9
Substitute 0 for x and solve for y intercept
0 +3y = 9
Divide both sides by 3
Y = 3
Substitute 0 for y and solve for x intercept
X + (3)(0) = 9
X = 9
You now have points to graph
(9, 0) and (0, 3)
Graph is attached
Liters of 10% acid solution and liters of 70% acid solution
Answers
Let
x -----> number of liters of 10% acid solution
y ----> number of liters of 70% acid solution
so
we have that
x+y=90 ------> x=90-y -----> equation 1
Remember that
10%=10/100=0.10
70%=70/100=0.70
20%=20/100=0.20
so
0.10x+0.70y=0.20(90) ------> equation 2
Solve the system of equations
substitute equation 1 in equation 2
0.10(90-y)+0.70y=0.20(90)
solve for y
9-0.10y+0.70y=18
0.60y=18-9
0.60y=9
y=15
Find out the value of x
x=90-y
x=90-15=75
therefore
the answer is
number of liters of 10% acid solution is 75 and number of liters of 70% acid solution is 15Sarah, Leah, Haley, Lindsay, and Kim bought 4 bottles of water to share among themselves. They divided each bottle of water into 5 equal portions. Sarah took 1 portion from each bottle of water. Which equation represents how much of a bottle of water Sarah took?
Answers
Sarah has taken 4/5 portion of the available water bottles.
How is a ratio determined?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. A ratio is a comparison or condensed version of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.
Given, Total number of water bottles bought = 4
Total number of people sharing the bottles = 5
Since each bottle is divided in equal portion, each portion of bottle = 1/5
Also, Sarah took one portion from each of the four bottles, thus
Sarah has portion of water = 4*(1/5) = 4/5
Sarah has taken 4/5 portion of the available water bottles.
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use similar triangles to calculate the height h cm of triangale abe
Answers
The height of ∆EBA is 24cm in the given question where two triangles are similar.
What are similar triangles?Similar triangles are triangles that have the same shape but differ in size. Similar objects include all equilateral triangles and squares with any side length. In other words, if two triangles are similar, their corresponding angles and sides are congruent and in equal proportion. The " symbol here denotes the similarity of triangles.
We know that in two similar triangles, the ratio of corresponding sides are equal to ratio of their heights.
We have given that ∆DBC ≅ ∆EBA
So,
⇒ (36-h)/h = DC/AE
⇒ (36-h)/h = 10/20
Using cross multiplication
⇒ 20(36-h) = 10h
⇒ 720 - 20h = 10h
⇒ - 20h -10h = -720
⇒ -30h = -720
⇒ 30h = 720
⇒ h = 720/30
⇒ h = 24
Thus, the height of ∆EBA is 24cm in the given question where two triangles are similar.
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Full question
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
С
В.
36 cm
E
20 cm
When subtracting 538 - 446, why is there no digit in the hundreds place?
Answers
Answer:82
Step-by-step explanation:
Because you need to regroup the numbers, therefore leaving 4-4, which is just a 0, (don't include the 0 in a number).
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time 2.25 minutes.
Answers
Using the uniform distribution, it is discovered that there is a 0.625 = 62.5% chance that a randomly picked passenger will have to wait longer than 2.25 minutes.
The boundaries of a uniform distribution are a and b.
The likelihood of discovering a value greater than x is:
P(X > x) = (b - x)/(b - a)
In this problem, the time is equally distributed between 0 and 6 minutes, so.
a=0
b=6
P(X > 2.25) is the probability of a time larger than 2.25 minutes, so:
P(X > x) = (6 - 2.25)/(6 - 0) = 0.625
A randomly picked passenger has a 0.625 = 62.5% chance of waiting longer than 2.25 minutes.
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If y represents total earnings in dollars and x represents hours worked, then the equation that corresponds to the earnings of someone who makes $71.50 an hour is __
Answers
The linear equation representing the earnings of someone is y=$71.50x.
What is a linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
It is given that x is the number of hours worked, and y is the total amount of money earned.
So, the rate of earning will be the ratio of total earnings to the total number of hours.
So, the rate of earning= y/x dollars per hour
It is given that someone earns $71.50 an hour.
So, the rate of earning= $71.50
Put the value of the earning rate in terms of x and y to obtain a linear equation.
y/x=$71.50
y=$71.50x
So, the linear equation representing the earnings of someone is y=$71.50x.
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The perimeter of the rectangle below is 88 units. Find the length of side QR.
Write your answer without variables.
Answers
Answer: QR = 21 Units
P = 2(l) + 2(w)
[tex]88= 2(4z-1) + 2(3z+3)[/tex]
[tex]88 = 8z-2+6z+6[/tex]
[tex]88 +2-6= 8z+6z[/tex]
[tex]84=14z[/tex]
[tex]\frac{84}{14} =\frac{14z}{14}[/tex]
[tex]6 = z[/tex]
[tex]QR = 3z+3[/tex]
[tex]QR = 3(6) +3[/tex]
QR = 21 Units
Find the slope of the line that passes through each pair of points. Then, match it with the corresponding m-value. (Remember, m usually represents slope!)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(3, 2) and (5, 8)
(-2, -7) and (-4, -3)
(1, -6) and (-2, -4)
(4, -8) and (-2, 16)
(-5, 10) and (7, 13)
Answers
By using the formula for the slope of a line that passes through two points, we will get that the slopes are:
a) 3
b) -2
c) -1.5
d) -4
e) 1/4
How to get the slopes?
For a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by the formula:
a = (y₂ - y₁)/(x₂ - x₁)
So we will use that for each of the given pairs.
a) The first pair is (3, 2) and (5, 8), so the slope is:
a = (8 - 2)/(5 - 3) = 6/2 = 3
b) The pair is: (-2, -7) and (-4, -3), so the slope is:
a = (-3 + 7)/(-4 + 2) = 4/-2 = -2
c) The pair is (1, -6) and (-2, -4) so the slope is:
a = (-4 + 6)/(-2 - 1) = 2/-3 = -3/2 = -1.5
d) The pair is (4, -8) and (-2, 16) so the slope is:
a = (16 + 8)/(-2 - 4) = 24/-6 = -4
e) The pair is (-5, 10) and (7, 13) so the slope is:
a = (13 - 10)/(7 + 5) = 3/12 = 1/4
We found all the slopes for the lines that pass through the given pairs of numbers.
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4(2x - 5) + 15 = 11 what are the steps
Answers
Given expression
As given
Its solution will be,
[tex]\begin{gathered} =4\left(2x-5\right)+15 \\ =8x-20+15 \\ =8x-5 \end{gathered}[/tex]For x=2, it will be,
[tex]\begin{gathered} =8\left(2\right)-5 \\ =16-5 \\ =11 \end{gathered}[/tex]This is the answer.
Determine whether the polygons are similar. If so, identify the correct similarity ratio and the similarity statement.
Answers
The two polygons are calculated to be similar and the correct statement to show the similarity is in option A
How to show that the polygons are similar
To show that the polygons are similar we show that
The angles of the corresponding sides are equal The ratio of the sides chosen are equalComparing the angles
< P ≅ < C< G ≅ < H< A ≅ < J< R ≅ < KComparing the ratio of corresponding sides
10.5 / 7 = 12 / 8 = 6 / 4 = 9 / 6 = 3 / 2
This shows that option A is the correct choice
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Select the correct answer. Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0B. 1C. 2D. 4E. infinitely many
Answers
Answer: Infinitely many
The answer is infinitely many
This is because if the sides are parallel, the other measurements must be the same. They can be any measurement
what is the division law of exponents?
Answers
(^ means exponents)
Pls help its for finals!!
Answers
Answer:
They all work at $13.5 an hour, so they all are payed $270 for 20 hours of work
Step-by-step explanation:
Answer:
good luck give other guy branilest
Step-by-step explanation:
8 7/8+(7 5/6−2 1/3) Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
following a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] , we get [tex]16 \frac{3}{8}[/tex]
According to the question, given that
Mixed numbers
[tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex]
⇒ [tex]\frac{87}{8} + (\frac{25}{2} - 7 )[/tex]
⇒ [tex]\frac{87}{8} + \frac{25}{2} - 7[/tex]
⇒ [tex]\frac{87 + 100 - 56}{8}[/tex]
⇒ [tex]\frac{131}{8}[/tex]
⇒ [tex]16 \frac{3}{8}[/tex]
Therefore, after solving a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] , we get [tex]16 \frac{3}{8}[/tex]
A whole number plus a proper fraction are combined to form a mixed number. Mixed numbers, commonly referred to as mixed fractions, make it easier for us to comprehend numbers.
A whole number and a legal fraction make up a mixed number. A mixed number like [tex]3\frac{1}{4}[/tex] is one where 1/4 is the correct fraction and 3 is the whole number portion. It should be emphasized that once mixed numbers are transformed into an incorrect fraction, they are simple to add, subtract, multiply, and divide.
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2. Round the following numbers to the nearest 10 thousand:
990,201:__________
159,994 :__________
Answers
The values of the given numbers when it is rounded up to the nearest 10 thousands are:
990000150000What is rounding up in mathematics?Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.
It should be noted that in rounding the a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .
From the given values, we are given the 990,201 and 159,994 and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000
and 150000.
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A recent survey on movies found that 1 out of 6 students likes comedy films. Graph the relationship between the total number of students and the students who like comedy films for different number of students given in the table below. Total Number of Students 90 180 270 360
Answers
A recent survey on movies found that 1 out of 6 students likes comedy films. The probability that individuals will like comedies is equal to one in six.
This is further explained below.
What is probability?Generally, If there are a total of 90 people, then the number of people who like comedic films is equal to 90 divided by 6, which is 15.
If there are a total of 180 people, then the number of people who like comedic films is equal to 180 divided by six, which is 30. If there are 270 people in total, then the number of people who like comedic films is equal to 270 divided by six, which is 45.
If there are a total of 360 individuals, then the number of persons who like comedic films is equal to 360 divided by six, which is 60.
Let the x-axis show the total number of persons, and let the y-axis show: The number of persons who like comedic motion pictures are shown along the y-axis.
In conclusion, The following will be the function: f(x) equals six times the total number of persons, where x is the total headcount.
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Given mn, find the value of x.
t
(7x+7)°
(2x+2)°
Answers
The values are, x = 287° and x = 82°
How are internal and exterior angles distinguished?
The external angle is the angle formed by any side of an object and a line that runs from another side.
An interior angle is the shape that results from joining the two rays at their terminal. An internal angle is the angle inside a shape. A polygon is a closed shape with sides and vertices.
If this angle is one, the total exterior angle is 360 degrees.
and if the angle is inside, enter 180 degrees.
I'm taking this given angles i.e, (7x+7)° and (2x+2)° as an exterior angle to solve for x.
Now, (7x+7)° + (2x+2)° = 360°
7x + 7 + 2x + 2 = 360°
9x + 9 = 360°
9(x + 1) = 360
x + 1 = 360 / 9
x + 1 = 40
x = 39
We get x = 39, now put these x value to find the angle
(7x+7)° | (2x+2)°
(7 * 39 + 7)° | (2 * 39 + 2)°
280° | 80°
Hence, the values are, x = 287° and x = 82°
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if the degree of he monimial is -xy^3m (where m is a constant) is 10, then the value of m is ______
Answers
The value of m that makes the expression a monomial is 10/3
How to determine the value of m?From the question, the given parameters are
Monomial: -xy^3m
Degree = 10
The degree of a polynomial is the highest power of the polynomial
This means that
Degree = 10
Degree = 3m
Substitute the known values in the above equation
So, we have
3m = 10
Divide both sides of the equation by 3
m = 10/3
Hence, the value of m is 10/3
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Write each fraction as a decimal 3\5
Answers
Answer:
0.6
Step-by-step explanation:
3/5 as a decimal is 0.6; divide the numerator by the denominator. :)
b. Fred got a score of 84 on the test. Write a division sentence using negative numbers
where the quotient represents the number of questions Fred answered incorrectly.
Answers
Answer:
Step-by-step explanation:
What is the Product Rule of Exponents?When multiplying two numbers with the same base, their powers/exponents would be added.For example, .Given:(a²c)³Therefore:(a²c)³ = (a²c)(a²c)(a²c) (a²c)³ = (a²c)³ = Therefore, applying the product rule of exponents, (a²c)³ = .
9.)DIVERS A boat is located at sea level. A scuba diver is 80 feet along
of the water from the boat and 30 feet below the
the surface
water surface. A fish is 20 feet
along the horizontal plane from the scuba diver and 10 feet below the scuba
diver. What is the slope between the scuba diver and fish?
80 ft
20 ft
(80, -30)
Answers
The slope between the scuba diver and fish would be; 0.5 .
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Given that boat is located a sea level. A scuba diver is given as 80 feet along the surface of the water from the boat and 30 feet below the water surface.
A fish is given as 20 feet along the horizontal plane from the scuba diver and 10 feet.
We are asked to slope between the scuba diver and fish.
The Horizontal distance between diver and fish = 20 feet.
Fish below the scuba diver = 10 feet
Slope between scuba diver and fish is :
Tan Ф =10/20
Tan Ф = 0.5
Therefore, the slope between the scuba diver and fish would be; 0.5 .
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please help me with this.
Answers
The equation for g(x) = -(x + 1)² - 4.
Where f(x) = x².
Solution:
The given parent function is ,
f(x)= x²
Begin by solving the equation f(x) = x². Write the equation for the g(x) graph that has been flipped or reflected over the x-axis.f1(x) = -f(x)
So,
f1(x) = -x²
Apply the equation and create an equation for the graph of g(x).It has also been moved down 4 units.
f2(x) = f1(x) -4
f2(x) = -x² - 4
Apply the equation from above step. Create an equation for the graph of g(x).1 unit has also been shifted to the left.
g(x) = f2( x + 1)
g(x) = -(x + 1)² - 4
As a result, the required equation is.
g(x) = -(x + 1)² - 4.
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yall please help me!!! if i dont pass imma need tutoring
Answers
Given:
The expression is,
[tex]2x^2+(4x-6x^2)+9-(6x+3)[/tex]Simplify the expression,
[tex]\begin{gathered} 2x^2+(4x-6x^2)+9-(6x+3) \\ =2x^2+4x-6x^2+9-6x-3 \\ =-4x^2-2x+6 \end{gathered}[/tex]Answer: option G
Help with the bottom of the paper
Answers
Using the angle and segment addition postulates, the measures are:
a. m<TSM = 95°
b. m<SIJ = 93°
c. SR = 12 units
d. PQ = 10 units
What is the Angle Addition Postulate and the Segment Addition Postulate?The angle addition postulate states that two smaller angles have a sum of measure that is equal to the larger angle they form.
Similarly, the segment addition postulate states that two smaller segments that make up a larger segment have a sum that equals the length of the larger segment.
a. m<TSM + m<MSR = m<TSR [angle addition postulate]
Substitute
32x - 1 + 48 = 48x - 1
Solve for x
32x + 47 = 48x - 1
32x - 48x = -47 - 1
-16x = -48
x = -48/-16
x = 3
m<TSM = 32x - 1 = 32(3) - 1
m<TSM = 95°
b. m<HIS + m<SIJ = m<HIJ [angle addition postulate]
Substitute
x + 40 + 2x + 93 = 133
3x + 133 = 133
3x = 133 - 133
3x = 0
x = 0/3
x = 0
m<SIJ = 2x + 93 = 2(0) + 93
m<SIJ = 93°
c. x + 14 + x + 15 = 23
2x + 29 = 23
2x = 23 - 29
2x = -6
x = -3
SR = x + 15 = -3 + 15
SR = 12 units
d. -6 + 2x + 2x - 4 = 22
-10 + 4x = 22
4x = 22 + 10
4x = 32
x = 32/4
x = 8
PQ = -6 + 2x = -6 + 2(8)
PQ = 10 units
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The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 10 members, how many ways could the officers be chosen?
Answers
Answer:
210 ways
Step-by-step explanation:
This is a combinatorics problem of the general nature of choosing r elements from a sample of n elements
It is indicated by the term
[tex]C(n,r) = $\displaystyle \binom{n}{r} = \dfrac{n!}{( r! (n - r)! )$}\\\\[/tex]
where n! represents the factorial of n = n x (n-1) x (n-2) x .... 3 x 2 x 1
With n = 10, r = 3 there are C(10, 3) ways of choosing the officers
[tex]C(n,r) = C(10,4)\\\\= \dfrac{10!}{4! (10 - 4)! }\\\\\\[/tex]
[tex]= \dfrac{10!}{4! \times 6! }[/tex]
[tex]$\displaystyle = 210[/tex]
DE has a length of 5 cm. What is the length of the image of DE after applying the comp
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 20 cm
Please select the best answer from the choices provided
OA
OB
Answers
The correct option: B. 5 cm, the image of DE will have the same length as DE, i.e. 5 cm.
What is defined by the term transformation?A transformation is a method of modifying a polygon or even other two-dimensional element on a plane as well as coordinate system. Two-dimensional figures keep moving around a plane as well as coordinate system using mathematical transformations.A preimage, also known as an inverse image, is the this double shape that exists before any transformation. The estimate after transformation is depicted in the image.For the given question;
DE segment length is 5 cm.
The transformation implemented to DE now is; Rx degrees R₀.-270 degrees.
That is, DE is the segment.
270° counter-clockwise rotation about the origin, then reflected across the x-axis
It is necessary to determine the length of a segment that is the image of DE.
Because, as we all know,
The only transformation that affects the figure's measurements is 'dilation.'
As a result, rotation and reflection have no effect on the shape and size of a segment DE.
Therefore, the image of DE will have the same length as DE, i.e. 5 cm.
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The complete question is-
DE has a length of 5 cm. What is the length of the image of DE after applying the composition Rx degrees R₀.-270 degrees?
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 20 cm
