Graph the image of the given triangle after the transformation that has the rule (x, y)→(x−5, y+6). Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
Answers
Answer:
Step-by-step explanation:
Transformation involves changing the position of a shape in the coordinate.
See attachment for the image of the triangle
Assume the triangle is triangle ABC.
The coordinates of ABC are:
[tex]\mathbf{A = (-1,-4)}[/tex]
[tex]\mathbf{B = (-2,-7)}[/tex]
[tex]\mathbf{C = (5,-6)}[/tex]
The transformation rule is given as:
[tex]\mathbf{(x,y) \to (x -5,y+6)}[/tex]
So, we have:
[tex]\mathbf{A' = (-1 -5,-4+6)}[/tex]
[tex]\mathbf{A' = (-6,2)}[/tex]
[tex]\mathbf{B' = (-2 -5,-7+6)}[/tex]
[tex]\mathbf{B' = (-7,-1)}[/tex]
[tex]\mathbf{C' = (5 -5,-6+6)}[/tex]
[tex]\mathbf{C' = (0,0)}[/tex]
So, the coordinates of the new triangle would be:
[tex]\mathbf{A' = (-6,2)}[/tex]
[tex]\mathbf{B' = (-7,-1)}[/tex]
[tex]\mathbf{C' = (0,0)}[/tex]
See attachment for the image of ABC
Read more about transformations at:
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Related Questions
Which of the following is equal to 7 & 1/4?
Answers
Answer:
B
Step-by-step explanation:
When you raise something to the power of '1 over n', it is the same as taking the nth root.
Example:
[tex]16^{\frac{1}{4}} = \sqrt{16} =4[/tex]
Carl wheezer and shaggy are doing the macarena
If Shaggy is using .26% of his power
How much is Carl using?
Answers
.74% ar least or else he would crumble
Answer: .74%
Step-by-step explanation: 1-0.26=0.74
The value of investments in the stock market change daily. Suppose you buy a stock for $4,811. It increases in value by 7% and then decreases 8% and then increases again by 9%. What is the new value?
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Can you help me please
Answers
Answer:
pretty sure 8.5 inches
Step-by-step explanation:
Answer:
68 inches
Step-by-step explanation:
16 + 1 = 17
16 divided by 2 = 8
so 8 x 8 = 64
so that leaves one year- 4 inches
64+4=68
Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6
Answers
When estimating you should use what numbers
Odd
Even
Large
Round
Answers
Answer:
Round
Step-by-step explanation:
In spring 2014, faculty from the City University of New York (CUNY) reported on a randomized controlled trial they conducted. The goal of the experiment was to determine whether community college students who assess into elementary algebra could be successful if they were placed directly into college-level statistics (with extra support). The experiment was conducted at three urban CUNY community colleges. At the time of their recruitment into the experiment, participants did not plan to major in a subject requiring college algebra. Students who assessed into elementary algebra and agreed to participate in the study were randomly assigned to one of three treatments: 1) traditional elementary algebra, 2) traditional elementary algebra with extra support in a weekly workshop, or 3) college-level statistics with extra support in a weekly workshop. To control for teacher effects, each faculty member in the study taught one section associated with each of the 3 treatments. All of the instructors were full-time math faculty, and at each of the three colleges, there were four sections of each treatment for a total of 36 sections across the colleges with 721 student participants. In a comparison of course pass rates (C or better), students placed directly into college-level statistics outperformed both elementary algebra treatment groups.
What is the explanatory variable? what is the response variable? what is the confounding variable? is this an experiment or an observational study?
Answers
Answer:
A) explanatory variable is "The extra support given by faculties"
B) the response variable is;
"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."
C) Confounding Variable is "ability of students to be successful or pass"
D) Experiment
Step-by-step explanation:
A) An explanatory variable is simply a type of independent variable used to explain the changes that occur in another variable. Furthermore, it can be manipulated by the researcher and is also used to predict differences in the response variable.
Now, from the question, we see that the variable "extra support by the faculties" is used to determine how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.
Thus, the explanatory variable is "The extra support given by faculties"
B) In answer A above, we saw that the explanatory variable is used to predict the response variable.
We saw that the explanatory variable predicted how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.
Thus, the response variable is;
"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."
C) A confounding variable is one that influences or changes the effect of the dependent & independent variable. It is therefore used to influence the result/outcome of an experiment/research.
From the question, it's clear that the ability of the students to pass or be successful is what influences the effect of the support by the faculties.
Thus, the Confounding Variable is "ability of students to be successful or pass"
D) The question portrays an experiment because it is being used to check if an hypothesis statement is true or false.
The sales tax on a pair of jeans is 7%. if juan paid $3.15 in tax, what was the cost of the jeans before tax?
Answers
Answer:
2.93
Step-by-step explanation:
3.15×7/100=0.2205
3.15-0.2205=2.9295
The cost of the jeans before tax $2.9295
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
Let 'a' be the original price of the jeans.
Let 'b' be the price of the jeans with tax.
then, b = a + tax
Juan paid $3.15 in tax for the jeans.
The sales tax on a pair of jeans is 7 percent.
First we find the tax on a pair of jeans.
⇒ tax = b × 7%
⇒ tax = 3.15 × (7/100)
⇒ tax = $0.2205
We need to find the cost of the jeans before tax.
Here, b = $3.15, tax amount = $0.2205
⇒ b = a + 0.2205
⇒ 3.15 = a + 0.2205
⇒ a = 3.15 - 0.2205
⇒ a = $2.9295
Therefore, the cost of the jeans before tax $2.9295
Learn more about percent here:
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what is the length of AC
Answers
Answer:
13
Step-by-step explanation:
count A up to C
IM TIMED HELP PLS , solve the system of equations using substitution method , y = 2x + 8 , y = 4x - 2
Answers
Answer:
x=5, y=18
Step-by-step explanation:
y=2x+8
x= (y-8)/2
Substitute in second equation,
y= 4((y-8)/2) -2
y= 2(y-8)-2
y= 2y-16-2
16+2=2y-y
18=y
Replace y value in first equation to find x,
18= 2x+8
18-8=2x
10=2x
5=x
what is the greatest common facter of 48 and 84
Answers
Answer:12
Step-by-step explanation:
The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12
Logarithms:
A law was established, in which it considers that a driver who has more than 0.8 grams of alcohol per liter of blood, is in a state of drunkenness. It is estimated that the risk that a person has of suffering an accident when driving a vehicle under the influence of alcohol is given by the expression [tex]R(x) = 6 * e^{kx}[/tex] , where R(x) is the risk expressed as probability, X is the concentration of alcohol in the blood and K a constant:
A) Calculate the value of the constant K knowing that the concentration of 0.04 g / L of alcohol in the blood (x = 0.04) corresponds to an accident risk of 10% (R = 10)
B) A person who, according to the Law, drives while intoxicated, that is to say 0.8 g / L in blood, what are the risks of suffering an accident?
C) If a driver is under the influence of alcohol, that is 0.3 g / L, what is the risk of having an accident?
(Develop each one step by step)
Answers
Answer:
A) k = 18.75B) R(0.8) = 161419C) R(0.3) = 275Step-by-step explanation:
Given expression
R(x) = 6*e^(kx)A) Given
x = 0.04R = 10Solving for k
10 = 6*e^(0.04k)e^(0.04k) = 10/6ln (e^0.04k) = ln (1.6666)0.04k = 0.51k = 0.51/0.04k = 12.75B) Given
x = 0.8R= ?The value of R(0.8) is:
R(0.8) = 6*e^(0.8*12.75) =6*e^(10.2) = 161419 roundedC) Given
x = 0.3R = ?The value of R(0.3) is:
R(0.3) =6*e^(0.3*12.75) = 6*e^(3.825) =275 roundedSOMEONE HELP ME PLSS!! IT DUE TODAY!!
Answers
I think its D I hope you do good on your test! Good luck!
PLEASE HELP
DUE SOON
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.53 +25x - 120
models the profit of the fundraiser. What's the
smallest amount, in dollars, that you can charge and make a profit of at least $105?
Answers
Answer:
$9.03
If you want smallest amount it dollars, you have to go with $9. However, this will only give you a profit of $104.47
Step-by-step explanation:
p = -0.53 +25x - 120
105 = -0.53 +25x - 120
225.53 = 25x
x = 9.0212
Check work:
105 = -0.53 +25(9.02) - 120
105 ≠ 104.97
Since $9.02 doesn't equal $105 profit, let's add a penny to make it $9.03.
105 = -0.53 +25(9.03) - 120
105 ≠ 105.22
If you charge $9.03 for each box you will make a profit of at least $105.
Round to smallest amount in dollars:
105 = -0.53 +25(9) - 120
105 ≠ 104.47
If 999 is divided by 4, what is the remainder?
Answers
Answer The remainder Is 3
True or false in order of operations Wyndham motivations and division Multiplication always comes first
Answers
Answer:
True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.
Two turtles come from opposite sides of the road, starting at the same time and moving at the same speed. When they met, they jvere 72 inches from the right hand edge of the road. How wide is the road?
Answers
Answer:
144 inches
Step-by-step explanation:
If they are moving at the same speed and start at the same time, they have to go the same distance
That means they will meet in the middle
If they are 72 inches from the right side that means the middle is 72 inches from the right side
The road is 2 times 72 inches
2*72 = 144
144 inches
Easy question for easy points
Answers
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Step-by-step explanation:
The boundary line is dashed when the inequality is .
Answers
Answer: < or >
Step-by-step explanation:
A rectangle has a side length of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle.
Answers
Answer: 2
Step-by-step explanation: ( l + w )
700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?
Answers
Answer:
210
Step-by-step explanation:
I= p x r x t
I = 700 x 5/100 x 6
I= 700 x 0.05 x 6
I= 210
What is the greatest integer? [In picture]
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SOMEBODY HELP PLS, WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answers
Answer:
a. I, III, II
Step-by-step explanation:
To answer this question, lets take a look at I, II, and III.
First, lets take a look at I. It states that the m∠SQT = 180 by the definition of a straight angle. We can get that the m∠SQT = 180 just by looking at the image and by knowing our second given. So I just has to be below the second given.
Now, lets take a look at II. It states that m∠SQV + m∠VQT = 180 by the Substitution Property of Equality. We can find that m∠SQV + m∠VQT = 180 just by looking at the image along. But knowing that it is found by the Substitution Property of Equality, we can find that m∠SQV + m∠VQT = 180 was derived from the fact that m∠SQT = 180 and that m∠SQV + m∠VQT = m∠SQT, or I and III. So II was derived from I and III, and II should come after I and III.
Now lets look at III. It states that m∠SQV + m∠VQT = m∠SQT by the Angle Addition Postulate. Since III is found by the Angle Addition Postulate, we can find that III was derived from I, and III should come after I.
So knowing that II should come after III and I, and that III should come after I, we can find that the order should be I, III, II.
I hope you find my answer and explanation to be helpful. Happy studying.
Find the common difference of the arithmetic sequence -19,-16,-13,...
Answers
Answer:
it goes up by 3 every time hope it helped <3
Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.
Answers
Answer:
Small boxes contain 60 paperclips and large boxes contain 175 paperclips.
Step-by-step explanation:
1. Set up two simultaneous equations:
Use s for small boxes and l for large boxes. (You could use any letters)
4s + 5l= 1115
3s + 2l= 530
2. Number the equations:
4s + 5l= 1115 (1)
3s + 2l= 530 (2)
3. Multiply both equations to get the same number of ls (for different questions the letters might be different):
(1) x 2:
8s + 10l= 2230 (3)
(2) x 5:
15s + 10l= 2650 (4)
4. Subtract one from the other to get rid of the ls:
(4) - (3)
8s + 10l= 2230
- 15s + 10l= 2650
7s =420
5. Solve for s:
s= 420/7= 60
6. Substitute the s value into one of the original equations to find l:
4 x 60 + 5l= 1115
240 + 5l= 1115
5l= 1115 - 240
5l= 875
l= 875/5= 175
Helppppppppppp?????!!!!!!
Answers
i’m so happy to help you!
so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.
5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.
have a wonderful day!!
cookiebrookie∞☻
The metal day fair has a recycling center that will a pay 10% early fee on the amount collected plus $2.75 for each metal collected to be recycled .If Isa brings 12.5 kilograms of metal to be recycled which is the closet amount of money she will receive.
Answers
Answer:
$37.8125
Step-by-step explanation:
$2.75 x 12.5 = 34.375
34.375 x 10% = 3.4375
$34.375 + 3.4375 = 37.8125
What TWO requirements does a graph need to meet to be considered proportional?
Answers
Answer:
straight line and it needs to go through the origin
Please Help ASAP -
Lauren is saving for a new purse that costs $65. She already has $14 and will earn $2 for a weekly allowance. Her dad will also give her $3 a week for good behavior. How many weeks will it take before Lauren has enough money for her new purse?
Answers
Answer:10 weeks
Step-by-step explanation:
5. A gift box is 8 inches long, 3 inches wide
and 4 inches tall. What is the approximate
length of its longest diagonal?
A. 9.4 inches
B. 10.2 inches
C. 15 inches
D. 89 inches
