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.
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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:
https://brainly.com/question/12463306
Related Questions
Hello! Please help with this fill in the blank, thanks!
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Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.
===================================================
Explanation:
If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB
Point A lands on point DPoint B lands on point CPoint C lands on point BNote how in the sequence ABC we have A first, B second, then C third
Then for the sequence DCB we have D first, C second, then B third
This order matters so we can pair up the points properly
A goes to D (A is first of ABC; D is first of DCB)B goes to C (B is second in ABC; C is second in DCB)C goes to B (C is third in ABC; B is third in DCB)which is an x intercept of the continuous function in the table -2, -10
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Answer:
-10
Step-by-step explanation:
i
Could someone help with this math??!
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Answer:
1. what I the square root of negative 4
2. one is minusing the square root of 4
Forty one thousand,two hundred eleven
Answers
Answer:
forty one thousand, two hundred eleven written in numeric form is 41,211
Step-by-step explanation:
i'm assuming this is what you were asking; good luck
What additional information is needed to prove the triangles are congruent by ASA?
Answers
Answer:
The additional information that needed is m∠ABD = m∠CDB ⇒ C
Step-by-step explanation:
In the given figure
Triangles ADB and CBD are congruent by ASA under these conditions
m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDBLet us see the given to find the correct answer
∵ ∠ADB and ∠CBD have the same mark
∴ m∠ADB = m∠CBD ⇒ (1) given
∵ Side DB is a common side in the two triangles
∴ DB = BD ⇒ (2) given
∵ ∠ABD and ∠CDB are the angles at the end of BD
∴ m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA
∴ The additional information that needed is m∠ABD = m∠CDB
Answer:
To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.
Step-by-step explanation:
1
2
3
4
5
6
10
34:10
Which division problem does the model show?
1
1
1
1
1
3
3-3 -9
9
San
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Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Solve 3[-x + (2 x + 1)] = X – 1.
Х=
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Answer:
x=-2
Step-by-step explanation:
F(x) = -2x^2 + 6x-3, opens (down or up) and has a (maximum or minimum) value
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Answer: D
Step-by-step explanation:
(Using the formula in my attachment)
x^2 − 6x + 19
(x - 3)^2 = x^2 - 6x + 9
9 - e = 19
e = -10
(x - 3)^2 - e
(x - 3)^2 - - 10
(x - 3)^2 + 10
when x - 3 = 0, x = 3
Subsitute 3 into the equation
(3 - 3)^2 + 10
0 + 10
Minimum (3,10) in this case f(3) = 10
evaluate f(x)=3x-6 when x=2 and x=-4
Answers
Answer:
Step-by-step explanation:
Plug in the x
f(2) = 3(-4)-6
2 = -12 - 6
2 = -18
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.
using Systems of Linear Equations with Three Variables
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Answer:
KJslDKSLADJKLJALKJDLKDLKAsdmjklLkLKLKSLKSLKSKLSJSSJLKJLAJDJLDKJDLSJDLSAJALDLKASJLAS
Step-by-step explanation:
PERCENTAGE of 7.50 OF ₹6
Answers
Answer:%80 or 0.8
Step-by-step explanation:
Total = 7.50
Part of 7.50 is 6
The percentage of 6 in 7.50 is 6*100/7.50
0.8* 100
80%
Or you could do it this way:
6/7.5
x10 on both
60/75
by 5 times
12/15
4/5
=0.8
At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more Riders each hour and how much more?
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Answer:
The spinning swings would have 10 more an hour.
Answer:
5
Step-by-step explanation:
35 more
does y= x squared represent a linear function
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Answer:
no
Step-by-step explanation:
most probably a linear function. y = mx +b. what you have to notice here is the X, if the X has no exponents on it, then it is usually linear, but if the X is X squared or higher then it would not be a linear function.
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 45° more than nbsp the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
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What is the slope of the line through points (8, -3) and (2, 1)?
Answers
Answer:
2/3
Step-by-step explanation:
1--3/2-8
=4/6
=2/3
Which of the following does NOT show an identity property? Group of answer choices
5 ÷ 1 = 5
2 + 1 = 3
4 × 1 = 4
3 − 0 = 3
Answers
Answer:
2+1=3
Step-by-step explanation:
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answers
Answer:
This makes no sense as you dont say what type of triangle it is
Step-by-step explanation:
If its a equallateral its x = 89/7
Please solve (X+2) 3 = (x-4) 5
Answers
Answer:
x= 13
Step-by-step explanation:
(X+2) 3 = (x-4) 5
distribute on both sides: 3x + 6 = 5x - 20
add 20 to both sides: 3x + 26 = 5x
subtract 3x from both sides: 26 = 2x
divide both sides by two: 13 = x
Answer:
x=13
Step-by-step explanation:
I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)
If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial
Answers
Of the following statements, which one or ones describe actions helpful to your credit score?
1. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
c. I and HII
d. III only
Answers
Answer:
a is the answer
Step-by-step explanation:
-5 + 10m + -2m^2 simplify
Answers
Answer:
−2m2+10m−5
Step-by-step explanation:
−5+10m−2m2
=−5+10m+−2m2
Simplify 16x^3 - 8x^2 + 4x^4 / 2x
A) 8x^2 - 4x + 2x^3
B) 8x^2 - 4 + 2x^3
C) 8x^3 - 4x + 2x^3
D) 8x^2 - 4x + 2x
Answers
Answer:
2 x ^3 + 8 x ^2− 4 x
Step-by-step explanation:
Just simplify!
What is 15% of 90?
O 13.5
O 6
O 600
Answers
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
What number is 15% of 90?
The calculated percentage of the number 15% of 90 would be 13.5.
If this helps please mark brainliest.
Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio was $104 per month (Home Energy Report, Duke Energy, March, 2012). A researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois is higher. A sample of homes in this Chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses.
Assume the sample data lead to rejection of the null hypothesis.
What would be your conclusion about the cost of electricity in the Chicago neighborhood?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type I error in this situation?
The Type 1 error in this situation What are the consequences of making this error?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type II error in this situation?
Answers
Answer:
When the null hypothesis is rejected
The conclusion is that there is enough evidence to support the claim of the researcher
When a type I error occurs
The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
When a type II error occurs
The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct
Step-by-step explanation:
From the question we are told that
The cost of electricity per month is [tex]\mu = \$104[/tex]
The null hypothesis is [tex]H_o : \mu = \$104[/tex]
The alternative hypothesis is [tex]H_o : \mu > \$104[/tex]
Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher
Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected
So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect
Generally a Type II error is an error that occurs when the null hypothesis is incorrectly not rejected
So in the case of this question the consequence of making this type of
error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct
What is the design of the following study? The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The researchers recorded the number of cans sold over a given period of time.
Answers
Answer:
Randomized design
Step-by-step explanation:
The researchers used a randomized design for this study. While designing a research experiment, we use a randomized design to study the effect that a major factor or a primary factor would have without having the need to use any unrelated or unnecessary variable. The question tells us that ten public buildings that have a coke machine and a Pepsi machine were selected for the study.
point slope form problem
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Answer:
y+9=1/5(x+4)
Step-by-step explanation:
plug into the formula
£72 in the ratio 5:4
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Answer:
40:32
Step-by-step explanation:
5+4= 9.
72 / 9 = 8
5x8:4x8
aka
40:32
8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *
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Which best describes the function represented by the table -2,-5 2,5 4,10 6,15
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Answer:
Direct variation; k=5/2
Step-by-step explanation:
Edge quiz, got it right
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.a.What is the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards?b.What is the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card"
Answers
Answer:
a
[tex]P(X = 4 ) = 0.1876[/tex]
b
[tex]P(X \le 4) = 0.8358[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
[tex]X \ \ ~ Bin (n , p )[/tex]
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]
=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]
Here C stand for combination
=> [tex]P(X = 4 ) = 0.1876[/tex]
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]
=> [tex]P(X \le 4) = 0.8358[/tex]