Answers
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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Related Questions
what is the net decimal equivalent if all discounts were applied in the series?
40% 15% 30%
Answers
The net decimal equivalent of the series 40/15/30 is 0.357;
Here we assume let X be retail price.
So,
X - 0.40 × X = Y ⇒ first discounted price.
Y - 0.15 × Y = Z ⇒ second discounted price.
Z - 0.30 × Z = T ⇒ total discounted price.
Now
X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y
Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z
Z - 0.30 × Z = (1 - 0.30) × Z = 0.70 × Z = T
Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y
And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X
So,
= 0.70 × 0.85 × 0.60 × X
= 0.357X;
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4
Albert made $54.25 bagging groceries for 5 hours last week. What was Albert's hourly wage? '
Answers
Answer:
$10.85
Step-by-step explanation:
Divide 54.25 by 5 and you get 10.85.
What number makes the equation true? Enter the answer in the box.
5 X
= 20
Answers
Answer: 5x4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
5x=20
divide both side by the coefficient of x
5x/5=20/5
x=4
please help reflictions
Answers
Answer:
A would be reflected on the y-axis first then translated up 6 units
Step-by-step explanation:
A rectangular garden is to be constructed so that the width is 150 ft. What are the possible values for the length of the garden if
at most 1200 ft of fencing
is to be used?
Answers
The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft
Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.
It mean maximum value of perimeter = 1200ft
The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle
Therefore the minimum value of length of rectangle is 151 feet
The maximum perimeter is 1200ft
1200=2(150+length of rectangle)
Maximum value of the length of the rectangle=450ft
Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft
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Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!
Answers
hi
budget is 170
we have 20 players and all of them need a package at 7.5 each.
So for 20 players total amount spend is : 20*7.5 = 150
there is 3.99 shipping cost
total spendings : 150 + 3.99 = 153.99
AS budget is 170 , so remais : 170 - 153.99 = 16.01
Math
The product of 84.12 and which number will have three decimal places?
Answers
The product of 84.12 and 19.3 will have three decimal places.
Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.
Let us look at each option one by one,
1. 4.22
4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
2. 10.51
Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
3. 14.163
14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.
3. 19.3
19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.
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Your question was incomplete. Check for full content below-
The product of 84.12 and which number will have three decimal places? 4.22
10.51
14.163
19.3
Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4
Answers
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
What is the value of the derivative of a function?
In this problem we have the following rational equation, which is equivalent to the following sum of functions:
f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)
Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:
g(x):
g'(x) = [1 - 1] / h
g'(x) = 0 / h
g'(x) = 0
h(x):
h'(x) = [4 / (x + h) - 4 / x] / h
h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]
h'(x) = - 4 · h / [h · (x + h) · x]
h'(x) = - 4 /[(x + h) · x]
If h = 0, then:
h'(x) = - 4 / x²
Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:
f(4) = - 4 / 4²
f(4) = - 1 / 4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
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I cannot do this help me to this
Answers
How to solve this step by step
Answers
The solution to the given equation are -2/5 and 1
Solving linear equationsLinear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b
Given the equation below:
(5v +2)(1 - v) = 0
Equate both expressions to zero to have:
5v+2 = 0 and 1 -v = 0
For the expression 5v+2 = 0
5v = -2
v = -2/5
Similarly
1 - v = 0
v = 1 + 0
v = 1
Hence the solution to the given equation are -2/5 and 1
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Suppose there are 17 jelly beans in a box—2 red, 4 blue, 4 white, and 7 green.
What part of the jelly beans is blue? Express your answer in each of the forms requested.
As a fraction ____
Hint: To enter a fraction, use the forward slash button on the keyboard.
As a decimal rounded to the nearest ten-thousandth (four decimal places). _______
As a percentage rounded to the nearest hundredth (two decimal places) ______
Answers
Answer: 4/17
0.2353
0.24
Step-by-step explanation:
4 blue jelly beans. 17 total jelly beans.
4/17=0.235294
0.235294=0.2353
0.2353=0.24
two times the quantity of seven less than twice x
i need put this in algebraic expression
Answers
DES
Question: 2/20
Find the next number in the sequence: 1, 1, 2, -1, 1, -2, -1,
Answers
Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.
0 Eigenvalue
3 Eigenvalue
The y values of any nxn matrix A that adhere to the following criteria are considered to be its eigenvalues.
When I is the order n identity matrix, det(A - yI) = 0.
In this case, A = [1 2; 1 2], I = [1 0; 0 1], and yI = [y 0; 0 y]. I've added a new line in this notation with ;.
A - yI = [1-y 2; 1 2-y]
det(A - yI) = 1 - y* In other words, - 2 = = 2 - y - 2y + y2 - 2 = 0 = y2 - 3y = 0 = y(y-3) = 0.
y = 0 or y - 3 = 0
y = 3
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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters
Answers
Answer:
12
Step-by-step explanation:
Answer: 13 cm x 9cm is the correct answer:)
A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answers
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
Find the area and perimeter.
The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.
18x2 + 63x; 22x + 14
63x2 + 16; 22x + 14
18x2 + 63x; 16x + 2
63x2 + 18; 11x + 7
Answers
The area and the perimeter are 18x^2 + 63x and 22x + 14
How to determine the area and the perimeter?The given parameters are
Length = 9x
Width = 2x + 7
The area is calculated as
Area = Length * Width
So, we have
Area = 9x * (2x + 7)
This gives
Area = 18x^2 + 63x
The perimeter is calculated as
P = 2 * (Length + Width)
So, we have
P = 2 * (9x + 2x + 7)
Evaluate
P = 22x + 14
Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14
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Use the quadratic equation to complete the following sentence.
2^2-4x + 10 =0
The quadratic equation has…
PLEASE HELP WILL GOVE BRIANLIEST
Answers
Answer:
your answer is 7/2
the best graph to use for nominal or ordinal data is
Answers
Bar charts and pie charts are the best graphs to use for nominal or ordinal data.
What is defined as the Bar charts?Bar graphs are graphical representations of data (usually grouped) in the form of horizontal or vertical rectangular bars, with the length of the bars proportional to the data measure.
They are also referred to as bar charts. In statistics, bar graphs are one method of data handling.The drawn bars are uniform in width, as well as the variable quantity is depicted on one of the axes. The variable's measure is also depicted on other axes. The heights or lengths of the bars represent the variable's value, and these graphs are also employed to compare different quantities.Thus, for nominal and ordinal variables, bar charts or even pie charts are most commonly used.
Line charts as well as histograms are the most common ways to represent scale variables.
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What is p2 + 13 if p = −4?
29
17
−3
−21
Answers
The value of the expression p² + 13 will be A. 29.
How to compute the expression?It should be noted that the expression given is that p² + 13 and we are told that p = -4.
Therefore, we have to put the value of p into the expression. This will be:
p² + 13
= (-4)² + 13
= 16 + 13.
= 29
The value is 29.
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Get a similar question You can retry this question below
In your investment portfolio, 25% of your stocks are in Company A with a return rate of 6%, 40% of
your stocks are in Company B with a return rate of 2.5%, and the rest of your stocks are in Company
C with a return rate of 2%. Use a weighted mean to find your average return rate.
Average return rate=
Answers
The Average return rate for the investment will be 3.2%.
The Return Rate can be defined as a profit that is made on investment .
In the Question
let the investment be "x" .
25% stocks in Company A have return rate of 6%.
Investment in Company A = (25% of x)
Return is 6% of investment = (25% of x) + 6% of (25% of x)
Return from company A= (25% of x)(1+0.06) ...as 25%=0.25 & 6%=0.06
= 0.25*x*(1.06) ...(i)
40% stocks in Company B have return rate of 2.5%.
Investment in Company B = (40% of x)
Return is 2.5% of investment = (40% of x) + 2.5% of (40% of x)
Return from company A = (40% of x)(1+0.025) ...
= 0.40*x*(1.025) ...(ii)
Stocks in Company C = 100 - 25 - 40 = 35%
35% stocks in Company C have return rate of 2%.
Investment in Company C = (35% of x)
Return is 2.5% of investment = (35% of x) + 2% of (35% of x)
Return from company C = (35% of x)(1+0.02) ...
= 0.35*x*(1.02) ...(iii)
Total Return = Return from Company A + Return from Company B + Return from Company C .
From equation (i) ,(ii) and (iii) we get
Total Return = 0.25*x*(1.06) + 0.40*x*(1.025) + 0.35*x*(1.02)
= 0.265x + 0.41x + 0.357x
= 1.032x
The Average rate of return = [tex]\frac{return- investment }{investment } \times100[/tex]
Substituting the value we get,
= (1.032x - x ) / x *100
= 0.032x /x * 100
= 0.032*100
= 3.2%
Therefore , the Average return rate for the investment will be 3.2%.
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What is the missing number in the table below in 3 5 8 15 out 9 11 14
Answers
Kevin takes 1500 steps to walk d meters from his home to the station. Each step is 90 centimeters correct to the nearest 10cm.
Find the lower and the upper bound for d
Answers
Distance of upper bond and lower bond is 120,000 and 150,000 centimeter
How to find Lower bound and Upper Bound?
Given:
Number of steps walk = 1500 steps
Each step count = 90 centimeters
Correction in each step = 10 cm nearest
Find:
Lower bound and upper bound for d
Computation:
Lower bound step length = 90 - 10
Lower bound step length = 80 centimeters
Upper bound step length = 90 + 10
Upper bound step length = 100 centimeters
Lower bound d = 1500 × 80
Lower bound d = 120,000 centimeters
Upper bound d = 1500 × 100
Upper bound d = 150,000 centimeters
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Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Answers
Answer:
4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4
Step-by-step explanation:
If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:
The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0
The y-intercept will be 0
The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0
The x-intercept is always at (0, 0)
Answers
Answer:
the answer will be c....
The correct option is The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0.
What are intercepts?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given that, we are asked to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation,
So, if we are asked to find the x-intercept, so simply by the definition of intercepts we are asked to find where is the line cutting the x-axis, and as we know that, when a line cuts x-axis its y-intercept we automatically be 0.
So, the answer to this will be, the line cut the x-axis is its x-intercept thus, making y-intercept zero.
Hence, the correct option is the x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0
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A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.
Answers
Answer:
(1, 7)
(2, 14)
(3, 21)
(4, 28)
Step-by-step explanation:
A carry on bag costs $24 less than a suitcase. Janice bought 3 suitcases and 2 carry ons for $547. How much does one suitcase cost?
Answers
f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
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A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
Answers
Answer:
Step-by-step explanation: 1x,2y
What’s the correct answer answer asap
Answers
Answer:
The answer should be B.
Got it wrong hehe :)
Answers
6/1 = 42/7
42/7 - 33/7 = 9/7 = 1 2/7
what is the answer to 6 + 14 = 5x
Answers
Answer:
x=4
Step-by-step explanation:
6+14=5x
Add 6 and 14 which is equal to 20.
You will get 20=5x which you will then divide by 5 inorder to solve for x.
X=4
Pull out like factors :
5x - 20 = 5 • (x - 4)
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
