Answer: The size and shape will only change when the transformation being made to the figure is a dilation. Since it is only being translated, its image and preimage are still congruent in size.
Step-by-step explanation:
For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage of the figure remains congruent in size.
Transformation techniquesTransformation is a way of changing the size and shape of an object in an xy-plane
Some of the transformation techniques used are translations and dilation
For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage of the figure remains congruent in size.
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The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is _ cm and the width of the rectangle is _ cm.
Answer:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where:
L = length and W = width
The rectangle shown has a perimeter of 54 cm
Its length is 3 more than twice its width.
2L + 2W = 54 .... Equation 1
"length is 3 more than twice its width."
L = 2W + 3.....Equation 2
Substituting 2W + 3 for L
We have:
2L + 2W = 54 .... Equation 1
2(2W + 3) + 2W = 54
4W + 6 + 2W = 54
6W = 54 - 6
6W = 48
W = 48/6
W = 8cm
L = 2W + 3.....Equation 2
L = 2(8) + 3
L = 16 + 3
L = 19 cm
Therefore:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
what is the main purpose of efa? group of answer choices find out the relationship between variables. catch the idea of the latent variables testing the internal validity of a cluster of variables. generate large factor loadings
The main purpose of EFA is to find out the relationship between variables.
EFA is an abbreviation for exploratory factor analysis, which is used to determine the link between variables that are assessed.Exploratory factor analysis is a statistical tool used in multivariate statistics to find the underlying structure of a rather large set of variables. EFA is a factor analysis approach with the overriding purpose of identifying the underlying connections between measured variables.The common factor concept underpins EFA. Manifest variables are expressed as a function of common components, unique factors, and measurement errors in this model. Each distinct component has an effect on only one manifest variable and does not explain relationships between manifest variables. Common factors impact several manifest variables, and "factor loadings" are measurements of a common factor's influence on a manifest variable.To learn more about statistics, visit :
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Whats The Answer Marking Brainliest, Please explain your answer:D....
===========================================
Work Shown:
x = number of boxes
1 box = 12 envelopes
x boxes = 12x envelopes
I multiplied both sides of the equation by x
For instance, if we had 4 boxes, then 4 boxes represent 12x = 12*4 = 48 envelopes.
Will give brainliest!! Please help!!
Brian is playing a game with the spinner shown below. Each section is the same size.
What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?.
each of exercises 15–30 gives a function ƒ(x) and numbers l, c, and e 7 0. in each case, find an open interval about c on which the inequality 0 ƒ(x) - l 0 6 e holds. then give a value for d 7 0 such that for all x satisfying 0 6 0 x - c 0 6 d the inequality 0 ƒ(x) - l 0 6 e hol
The given inequality holds for the open interval (2.97,3.03)
It is given that
f(x)=6x+7
cL=25
c=3
ε=0.18
We have,
|f(x)−L| = |6x+7−25|
= |6x−18|
= |6(x−3)|
= 6|x−3|
Now,
6|x−3| <0.18 then |x−3|<0.03 ----->−0.03<x-3<0.03---->2.97<x<3.03
the given inequality holds for the open interval (2.97,3.03)
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Although part of your question is missing, you might be referring to this full question: For the given function f(x) and values of L,c, and ϵ0, find the largest open interval about c on which the inequality |f(x)−L|<ϵ holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−|<ϵ.
f(x)=6x+7,L=25,c=3,ϵ=0.18
.
How many solutions for 3(2x+5)-6x=40
The given linear equation can be simplified to:
15 = 40
Which means that the equation has no solutions.
How many solutions we have for the given equation?
Here we have the linear equation:
3*(2x + 5) - 6x = 40
And we want to see how many solutions does this equation has.
The solutions are the values of x such that the equation becomes true.
Then we can rewrite:
3*(2x + 5) - 6x = 40
Distributing the product we get:
3*2x + 3*5 -6x = 40
6x + 15 - 6x = 40
(6x - 6x) + 15 = 40
15 = 40
Notice that this equation does not depend of x, and it is false, (15 is not equal to 40)
So there are no value of x such that the equation is true, which means that the linear equation has no solutions.
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Which of the following is a benefit Social Security does not offer?
a.
automobile insurance
b.
disability insurance
c.
retirement insurance
d.
survivor insurance
Please select the best answer from the choices provided
A
B
C
D
Answer:
d. survivor insurance
Step-by-step explanation:
hope this helps :)
Factor x ²+x-30.
I need help with this question
Answer:
(x-5)(x+6)
Step-by-step explanation:
Answer:
(x-5) (x-6)
Step-by-step explanation:
How to solve your problem
²+x-30
Grouping
Use the sum-product pattern
1 ²x + x -30
²x + 6x - 5x - 30
Evaluate f(3) for the follow f(x)=x-5 f(3) =
Answer:
f(3) = - 2
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 3 - 5 = - 2
Answer:
If [tex]f(x)=x-5[/tex], f(3) = -2
Step-by-step explanation:
We are given [tex]f(x)=x-5[/tex] and we need to find f(3)
For finding f(3), we put x= 3 in the given function.
[tex]f(x)=x-5[/tex]
Putting x=3
[tex]f(3)=3-5\\f(3)=-2[/tex]
So, if [tex]f(x)=x-5[/tex], f(3) = -2
The temperature, in °C, of a solution t minutes after being cooled is
60(5/6)^t
After how many
minutes will the temperature of the solution be less than 30°C for the first time?
Answer:
t < 3.8 minutes
Step-by-step explanation:
We are told that the temperature "t" minutes after being cooled is
60(5/6)^t
We want to find After how many
minutes will the temperature of the solution be less than 30°C
Thus;
60(5/6)^t < 30
Divide both sides by 60 to get;
(5/6)^t < 0.5
t In(5/6) < In 0.5
-0.1823t < -0.6931
t < 0.6931/0.1823
t < 3.8 minutes
Which angles are congruent to 152˚?
Answer:
A Parallelogram has many important properties:
A parallelogram is a four-sided polygon.
Analyze the image of a parallelogram:
can anyone solve 84=4(1 - 4g) step by step?
Answer:
g= -5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
84-(4*(1-4*g))=0
84 - 4 • (1 - 4g) = 0
3.1 Pull out like factors :
16g + 80 = 16 • (g + 5)
16 • (g + 5) = 0
4.1 Solve : 16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : g+5 = 0
Subtract 5 from both sides of the equation :
g = -5
I hope it helps you and if you want you can give me a brainly crown only if you want
Answer:
g = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
84 = 4(1 - 4g)
Step 2: Solve for g
Distribute 4: 84 = 4 - 16gIsolate g term: 80 = -16gIsolate g: -5 = gRewrite: g = -5Step 3: Check
Plug in g into the original equation to verify it's a solution.
Substitute in g: 84 = 4(1 - 4(-5))Multiply: 84 = 4(1 + 20)Add: 84 = 4(21)Multiply: 84 = 84Here we see that 84 does indeed equal 84.
∴ g = -5 is a solution of the equation.
what is the answer?
x+y=15
-2x+5y=-2
What is the solution to the linear equation?
Madeline sold 200 tickets for a charter flight to Dallas. Some paid $200 for their tickets and some paid
$250. Madeline's revenue for the flight was $44,000. Below is Madeline's work in determining how
many of each ticket was sold.
x = number of $200 tickets
y = number of $250 tickets
200 (200 - 1) + 250y = 44,000
40.000 - + 250y = 44.000
40.000 + 249 y = 44.000
249v = 4.000
200x + 250y = 44.000
X = 200)
y' = 16.1
7
3 Part A
As Madeline was writing "y = 16.1," she realized her answer was not correct. How did
she know?
Answer:
Let x = number of regular tickets sold.
Let y represent the number of student tickets sold.
12x+8y≤100012x+8y≤1000
x+y≥200x+y≥200
12x+8y≤20012x+8y≤200
x+y≤200x+y≤200
12x+8y≥1000
hope this helps
Step-by-step explanation:
which method of comparing the numbers would you use.
Answer:
be more specific
Step-by-step explanation:
Answer:
alright I see, so basically you can choose standard form or scientific notation and explain why or how it is a better way for you :)
Find each difference.
a. 9−4
b. 4−9
c. 9−(-4)
d. -9−(-4)
e. -9−4
f. 4−(-9)
g. -4−(-9)
h. -4−9
the first term of an arthimetic sequence is 42 the rule an= an-1 +8 can 1 can be used explain how to write explict rules
Answer:
34 + 8n
Step-by-step explanation:
a₁ = 42
[tex]a_{n} = a_{n-1} + 8[/tex]
a₂ = a₁ + 8 = 42 + 8 = 50
a₃ = a₂ + 8 = 50 + 8 = 58
a₄ = a₃ + 8 = 58 + 8 = 66
Arithmetic sequence: 42, 50 , 58 , 66, ......
a₁ = 42 ; d = 8
[tex]a_{n}[/tex] = a₁ + d(n-1)
= 42 + 8(n - 1)
= 42 + 8n - 8
= 34 + 8n
Answer:
[tex]a_{n}[/tex] = 8n + 34
Step-by-step explanation:
The explicit rule for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive rule
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8
where + 8 is the common difference d , then
[tex]a_{n}[/tex] = 42 + 8(n - 1) = 42 + 8n - 8 = 8n + 34
Explicit rule is
[tex]a_{n}[/tex] = 8n + 34
If a insect is 0.74 cm long how long will the insect be in centimeters through a microscope.
When seen under a microscope, the length of the will bug is measured in centimeters.
x=74 cm
This is further explained below.
How long will the insect be in centimeters through a microscope.?Generally, The magnification power of a basic microscope is approximately 100.
This implies it amplifies the size of the picture to 100 times of the thing. Making it simpler for the viewer to examine the picture being shown consequently if a little bug is 0.095 cm long it will seem
0.74×100= 74 cm via the microscope.
In conclusion, The length of the will insect is in centimeters through a microscope.
74 cm
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Evaluate the following function for x = 4: h(x) = 7x + 15.
Answer:
43
Step-by-step explanation:
If x = 4, then plug in an x in the given equation
7(4) + 15 = 43
Therefore h(4) = 43
I hope this helps! :)
Use the area of the rectangle to find the area of the triangle.
4 ft
8 Ft
Answer:
The area of the triangle is 16 feet because the are of the rectangle is 32 feet.
Step-by-step explanation:
The length of the rectangle is 8 feet. Since the dotted line is exactly in the middle of the rectangle, the bottom of the triangle s 4 feet. With 4 feet as the bottom and 4 as the height, we can calculate the area of one of the triangles ( 4 * 4 /2 ), so each of the triangle's area is 8 feet. Add them together, and you get 16!
I can correctly re-write the expression 56 + 48 as _____
Drag the equivalent expression into the response box.
Expressions to Choose From
6 (9+8)
7 (8+6)
8(7 + 6)
9(6+8)
Answer:
8(7+6)
Step-by-step explanation:
A crew of highway workers paved 13 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
Step-by-step explanation:
in one hour if i am correct they will pave 0.928 or 0.930 miles
Find the value of x.
24
10
Answer:
not enough info
Step-by-step explanation:
Answer: I need more info
Step-by-step explanation:
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
Nine times the sum of a number and 8 is 4.
Answer:
9 x a+8=4 :) <333
16x2 + 5 = 40x what is x equal to
Answer:
37/40
Step-by-step explanation:
16*2+5=40x
32+5=40x
39=40x
x=37/40. is your answer
1 point
5) The cost for movie tickets for 10 students was $90. The principal of the
school offered to buy 4 tickets. How much would the principal have to
pay?
Answer:36
Step-by-step explanation:
90/10= 9 9x4=36
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
yall gotta help me i usually understand this but this isnt doing it for me. thank u <3
- gibazy
The value of the expression is 1.12 x 10^6
How to simplify the expression?The expression is given as
(14.1 x 10^5) - (2.9 x 10^5)
Factor out 10^5 from the above expression
So, we have:
(14.1) x 10^5 - (2.9) x 10^5
Factor out 10^5 from the above expression
So, we have:
(14.1- 2.9) x 10^5
Evaluate the difference
11.2 x 10^5
Rewrite as
1.12 x 10^6
Hence, the value of the expression is 1.12 x 10^6
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Answer:
The value of the expression is 1.12 x 10^6
Step-by-step explanation:
You go to Walmart and want to by a television. The television cost $359. The sales tax is 7%. How much sales tax will you pay?
Answer:
25.13
Step-by-step explanation:
[cost of the item] x [percentage as a decimal] = [sales tax]