Quadrilateral RUST has a vertex at R(4,2).
What are the coordinates of R'after the translation (x, y) + (x - 1, y - 1).
followed by a dilation by a scale factor of 2, centered at the origin?
O A. (6,1)
O B. (7,3)
C. (6,2)
O D. (8,2)
Answers
Answer: it is C
Step-by-step explanation:
Translation: (4,2) -> (3,1)
Dilation: (3,1) -> (6,2)
The solution is, the coordinates of point R' are (7, 3) and the correct option is B.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given:
The coordinate of point R in quadrilateral RUST are (4,2).
R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 2, centered at the origin, then
(x, y) ⇒ ( 2x, 2y )
We value R(4,2).
R(4,2) ⇒ R_1( 8,4)
The rule of translation is:
(x, y) + (x - 1, y - 1).
Using this rule, we get
R_1( 8,4) ⇒ R' ( 7,3)
Therefore, the coordinates of point R' are (7, 3) and the correct option is B.
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Related Questions
Find the domain D and range R of the function f(x)=|9+2x|. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol [infinity] for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)
Answers
Answer:
Domain of the function 'f' → [tex](-\infty,\infty)[/tex]
Range of the function 'f' → [tex][0,\infty)[/tex]
Step-by-step explanation:
Parent function of an absolute function is,
g(x) = |x|
Domain of the parent function → [tex](-\infty,\infty)[/tex]
Range of the parent function → [tex][0,\infty)[/tex]
If the function 'g' is vertically stretched by a factor of 2, the new function will be,
h(x) = |2x|
Function 'g' is translated by 9 units to the left, then the new function will be,
f(x) = |2x + 9|
By shifting the parent function on x-axis domain of the function will remain same as of the parent function.
Domain of the function 'f' → [tex](-\infty,\infty)[/tex]
Since, there is no shifting along the y-axis therefore, Range of the function will remain the same as the parent.
Range of the function 'f' → [tex][0,\infty)[/tex]
A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(2, 5)
(5, 2)
(2, 3)
(3, 2)
Answers
Answer:
(2,3)
Step-by-step explanation:
graph the equations of the lines and then look which point they intersect which in this case is over 2 and up 3 so (2,3)
Answer:
C (2' 3) is the correct one i got it right on my test
Step-by-step explanation:
Complete the statements about the series.
4
∑(-1/2)^K
k=0
1. There are ____ terms.
2. The sign of each term in the series ___.
3. What is the last term in this series?
Answers
Answer:
Use the attachment below.
Step-by-step explanation:
There will be 5 terms, there will be an alternative sign of the series and their last term will be 1/16.
What is a series?A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Given that the series
∑(-1/2)^K and this summation goes from k =0 to k = 4
Now the question is asking how many terms are in there, the sign of each term in the series, and the last term in this series.
Now if you take k =0 and find the first term then it will be
(-1/2)⁰ = 1 so the first term will be 1.
Similarly, you can put k =1,2,3,4 so there will be a total of 5 terms.
The sign of each term will be alternative since because of negative somethings power will be positive if power is odd and negative if power is even.
In the last term put k = 4, and you will get (-1/2)⁴ = 1/16.
For more information about the series
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Fifteen is the quotient of thirty-two and a number
Answers
can someone do these questions 1-3 please i have an F in math now :/
Answers
Answer:
There is no picture.
Step-by-step explanation:
Answer:
I can helpppppp
Step-by-step explanation:
Can somebody help me please
Answers
Answer:
A. 34/40
Step-by-step explanation:
The Unit Circle
What is cos 270°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from choices provided
Answers
Answer:
0 is the correct answer dude
Answer:
A. 0
Step-by-step explanation:
I calculated it logically
5% equals what fraction, in lowest terms?
Answers
Answer:
1/20
Step-by-step explanation:
According to G0ogle 5 percent equals 1/20 in lowest terms.
Answer:
5% equals 5/100 which is 1/20 in lowest terms.
Step-by-step explanation:
5% is basically equivalent to 5/100. 5/100 in lowest terms is 1/20 since you divide the numerator and denominator by 5.
I hope this helps, have a nice day.
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answers
Answer:
Step-by-step explanation:
ILL GIVE BRAINLIEST! FIND THE MEASURE OF B AND SHOW YOUR WORK. If you dont show the equation you used to get your answer then i wont give you brainliest. No links
Answers
Answer:
23 and 131
Step-by-step explanation:
For the first one. Since a whole entire angle thingie is 360, subtract 243 and 94 from 360. Answer is 23 :)
For the second one. This is a supplementary angle. 180- 49 is 131. Your done!
Figure ABCD is a rectangle find the value of X. X +11. 6X plusone
Answers
Answer:
its 2
Step-by-step explanation:
because AE equals EC so x+11=6x+1
Given f(x)=-x-2f(x)=−x−2, find f(-6)f(−6)
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
Put -6 where x is and do the arithmetic.
f(x) = -x -2
f(-6) = -(-6) -2 = 6 -2
f(-6) = 4
ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED SO SUBMIT IN 3 MINUTES HELPP!!
Answers
Answer:
(1, -2) is the coordinate of B' after a rotation of 90 degrees
Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n
There are 2 correct answers
Answers
Answer:
Step-by-step explanation:
c
can some one help me pls I will give the brainlist (20 points more)
Answers
Hector used the quadratic formula to solve the polynomial equation
9x^2+ 8x - 2 = 0
Which number did Hector have to square when he used the quadratic formula?
Answers
Answer:
STEP
1
:
Equation at the end of step 1
(32x2 - 8x) - 2 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 9x2-8x-2
The first term is, 9x2 its coefficient is 9 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 9 • -2 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -8 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
-2 + 9 = 7
-1 + 18 = 17
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2
:
9x2 - 8x - 2 = 0
STEP
3
:
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = 9x2-8x-2
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 9 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 0.4444
Plugging into the parabola formula 0.4444 for x we can calculate the y -coordinate :
y = 9.0 * 0.44 * 0.44 - 8.0 * 0.44 - 2.0
or y = -3.778
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 9x2-8x-2
Axis of Symmetry (dashed) {x}={ 0.44}
Vertex at {x,y} = { 0.44,-3.78}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-0.20, 0.00}
Root 2 at {x,y} = { 1.09, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving 9x2-8x-2 = 0 by Completing The Square .
Divide both sides of the equation by 9 to have 1 as the coefficient of the first term :
x2-(8/9)x-(2/9) = 0
Add 2/9 to both side of the equation :
x2-(8/9)x = 2/9
Now the clever bit: Take the coefficient of x , which is 8/9 , divide by two, giving 4/9 , and finally square it giving 16/81
Add 16/81 to both sides of the equation :
On the right hand side we have :
2/9 + 16/81 The common denominator of the two fractions is 81 Adding (18/81)+(16/81) gives 34/81
So adding to both sides we finally get :
x2-(8/9)x+(16/81) = 34/81
Adding 16/81 has completed the left hand side into a perfect square :
x2-(8/9)x+(16/81) =
(x-(4/9)) • (x-(4/9)) =
(x-(4/9))2
Things which are equal to the same thing are also equal to one another. Since
x2-(8/9)x+(16/81) = 34/81 and
x2-(8/9)x+(16/81) = (x-(4/9))2
then, according to the law of transitivity,
(x-(4/9))2 = 34/81
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(4/9))2 is
(x-(4/9))2/2 =
(x-(4/9))1 =
x-(4/9)
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-(4/9) = √ 34/81
Add 4/9 to both sides to obtain:
x = 4/9 + √ 34/81
Since a square root has two values, one positive and the other negative
x2 - (8/9)x - (2/9) = 0
has two solutions:
x = 4/9 + √ 34/81
or
x = 4/9 - √ 34/81
Note that √ 34/81 can be written as
√ 34 / √ 81 which is √ 34 / 9
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving 9x2-8x-2 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 9
B = -8
C = -2
Accordingly, B2 - 4AC =
64 - (-72) =
136
Applying the quadratic formula :
8 ± √ 136
x = —————
18
Can √ 136 be simplified ?
Yes! The prime factorization of 136 is
2•2•2•17
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 136 = √ 2•2•2•17 =
± 2 • √ 34
√ 34 , rounded to 4 decimal digits, is 5.8310
So now we are looking at:
x = ( 8 ± 2 • 5.831 ) / 18
Two real solutions:
x =(8+√136)/18=(4+√ 34 )/9= 1.092
or:
x =(8-√136)/18=(4-√ 34 )/9= -0.203
Two solutions were found :
x =(8-√136)/18=(4-√ 34 )/9= -0.203
x =(8+√136)/18=(4+√ 34 )/9= 1.092
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
ax² + bx + c = 0
In the quadratic formula the "b" coefficent gets sqaured
bx = 8x
b = 8
Find the amount of interest earned on $5,000 at 15% compounded annually for 10 years. (Round your answer to the nearest dollar.)
Answers
Answer:
$7500
Step-by-step explanation:
I=PRT
=5,000×0.15×10
A cheery tree is 6 feet tall. A palm is 3 times as tall as the cherry tree. Which model represents this problum
Answers
Answer: Bottom left
Step-by-step explanation:
Answer:
Bottom Left
Step-by-step explanation:
Im near 100% sure if im wrong im very sorry
PLEASE HELP ME OUT WITH THIS I AM TIMED I HAVE 5 MIN LEFT
Answers
Answer:
From what I've seen, the answer should be 28. Also, let me know if I'm wrong.
Answer:
28
Step-by-step explanation:
It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of repondents reported that they had participated in an online auction. In this same survey, 45% of repondents were men and 38% were men who had participated in online auctions. What is the probability that a respondent selected at random is female and has never participated in an online auction?
A. 0.62
B. 0.72
C. 0.38
D. 0.28
E. 0.07
Answers
Answer:
Hence, the Female and not participated is [tex]\frac{28}{100}=0.28\%[/tex]
Step-by-step explanation:
Let Total respondents [tex]=100[/tex]
Participated in online action [tex](P)=65[/tex]
Men [tex](m)=45[/tex] and Women [tex](F)=100-45=55[/tex]
Male and participated [tex](M\; \text{and}\;P)=38[/tex]
Female and participated [tex](F\; \text{and}\;P)=65-38=27[/tex]
Male and not participated is [tex]45-38=7[/tex]
Female and not participated is [tex]55-27=28[/tex]
Therefore, the Female and not participated is [tex]\frac{28}{100}=0.28\%[/tex]
Hence, the correct option is [tex]D[/tex].
Find the midpoint of AB given A (-2,5) and B (-4,7)
Answers
Answer:
[tex]\displaystyle (-3, 6)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1 + x_1}{2}, \frac{y_1 + y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(-2, 5)
Point B(-4, 7)
Step 2: Find Midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{-2 + -4}{2}, \frac{5 + 7}{2})[/tex]Add: [tex]\displaystyle (\frac{-6}{2}, \frac{12}{2})[/tex]Divide: [tex]\displaystyle (-3, 6)[/tex]81,94,83,91 what is the median
Answers
Answer:
15.5
Step-by-step explanation:
Answer:
87
Please mark as brainliest if answer is right
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Explain briefly in a few sentences an outline of how you would use this figure to prove that ACD is a square .
Answers
Answer:
A square simply has 4 sides and Abcd=4 and the entire angle adding is 180
Step-by-step explanation:
help me please I don't get it
Answers
First, the square in the middle, 4 x 4 = 16, the square is 16 centimeters. Next are the triangles. 6 x 4 = 24, but since a triangle takes up half the space a square would, divide by 2. Each triangle’s surface area is 12, so 12 x 4 = 48. Now, to add it up. 48 + 16 = 64 centimeters squared, which is my final answer.
A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
Answers
176 + 44 = 220
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi (π)
390°
a. 13/pi/5
b. 13/pi/12
c. 13/pi/3
d. 13/pi/6
Please select the best answer from the choices provided
Answers
Answer:
D. 13/pi/6
Step-by-step explanation:
I calculated it logically
what percent of 80 is 60
Answers
It is 75%.
Hope this helps.
We can write the complete statement as -
75% of 80 is equivalent to 60.
How can we represent "a% of b"?We can represent "a% of b" as -
a% of b = a/100 x b
a% of b = ab/100
So, a% of b = ab/100
Given is to find what percent of 80 is 60.
Assume that {x}% of 80 is equivalent to 60. So, we can write -
60 = x% of 80
60 = {x}/100 x 80
60 = 80x/100
60 = 8x/10
x = 600/8
x = 75
So, we can write that
75% of 80 is equivalent to 60.
Therefore, we can write the complete statement as -
75% of 80 is equivalent to 60.
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Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:
Answers
Answer:
Given
f(x) = 3x + 2g(x) = (x + 3) / (2x - 10)#1
g · f(x) = g(f(x)) = (3x + 2 + 3)/ (2(3x + 2) - 10) = (3x + 5) / (6x - 6)#2
f · g(x) = f(g(x)) = 3[(3x + 2) / (2x - 10)] + 2 = (9x + 6) / (2x - 10) + 2 = (9x + 6 + 4x - 20)/ (2x - 10) = (13x - 14) / (2x - 10)PLEASE HELP THIS IS DUE SOON!
Sales Hester sells televisions. She earns a fixed amount for each television and an additional $20if the buyer gets an extended warranty. If Hester sells 19 televisions with extended warranties, she
earns $1,710. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is $]
Answers
Answer:
380
Step-by-step explanation:
multiply 20 x 19
find the volume of the cynlinder.
Answers
Answer:
Step-by-step explanation:
Volume of the cylinder = volume of the outer cylinder - volume of the inner cylinder
volume of the inner cylinder = πr2h
r = 1
h = 6
Volume = 18.85
Volume of outer cylinder = πr2h
r = 6/2 = 3
h = 6
volume = 169.65
Volume of the desired cylinder = 169.65 - 18.85 = 150.8
Hope this helps u
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