HELP 65 POINTSS!! Answer BOTH parts of the question by drawing on the following coordinate plane. For each of the transformations, use the ORIGINAL pre-image to make the new image.
(a) Draw the image of ∆PQR after a rotation of 90° clockwise about the origin. Label the image ∆P'Q'R'.
(b) Draw the image of ∆PQR after a reflection across the y-axis. Label the image ∆P''Q''R''.
Answers
Using translation concepts, the transformed triangles are given in the graph at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.
For this problem, the coordinates of triangle PQR are given as follows:
P(-1,-1), Q(-3,-2), R(-3,-4).
The rule for a 90º clockwise rotation around the origin is given by:
(x,y) -> (y,-x).
Hence the coordinates of triangle P'Q'R' are given by:
P': (-1,-1) -> (-1,1).Q': (-3, -2) -> (-2, 3).R' : (-3, -4) -> (-4, 3).The rule for a reflection over the y-axis is:
(x,y) -> (-x,y).
Hence the coordinates of triangle P''Q''R'' are given by:
P'': (-1,-1) -> (1,-1).Q'': (-3, -2) -> (3, -2).R'' : (-3, -4) -> (3, -4).Both triangles are given in the graph at the end of the answer.
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Related Questions
Find the equation of line that passes through the points (-2,2) and (10,4)
Answers
Answer:
y=1/6x-3-2
Step-by-step explanation:
rises 2 runs 12
equals rise 1 run 6
1/6x
10, 6 -2 from x =10, 4
solve the proportion for y.Rornd your answer to the nearest tenth. 8/7 = y/11
Answers
Answer:
8/7=y/11 will give you 13
Step-by-step explanation:
7y=8×11
7y=88
y/7=88/7
y=88/7
y=12.57
y=13
6 + -6x
Can someone solve this please
Answers
Given 9.05(−13.2), find the product.
Answers
The value of the product expression 9.05(−13.2) is -119.46
How to find the product of the expression?The expression is given as
9.05(−13.2)
Rewrite properly as
9.05 * (−13.2)
Using a calculator, we have
-119.46
Hence, the value of the product expression 9.05(−13.2) is -119.46
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patrcick left a $8 tip on a $50 bill. what percent tip is that
Answers
Answer:
16%
Step-by-step explanation:
Just divide 8 by 50
8 ÷ 50 = 0.16
Then move the decimal two places to the right
Answer: 16% tip
Step-by-step explanation:
50 x .16 = 8
(1/6x - 10) + (2/3x -10) =
Answers
After solvong the expression (1/6x - 10) + (2/3x -10) the value is 60x² + 1 = 62x.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, there are six types of fractions: proper/improper fractions, mixed fractions, equivalent fractions, and like/, unlike fractions. A fraction has two parts: the numerator and the denominator.So, (1/6x - 10) + (2/3x -10):
(1/6x - 10) + (2/3x -10)[1 - 6x(10)/6x] + [2 - 3x(10)/3x]1 - 60x/6x + 2 - 30x/3x[1 - 60x + 2x(2 - 30x)]/6x1 - 60x + 4x - 60x²/6x- 60x² - 60x + 4x + 1/6x- 60x² - 56x + 1/6xNow,
- 60x² - 56x + 1/6x 60x² - 56x + 1 = 6x 60x² + 1 = 6x + 56x 60x² + 1 = 62xTherefore, after solvong the expression the value is 60x² + 1 = 62x.
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The cost function for a certain commodity is c(q)=84+0.16q-0.0006q^2+0.00000q^3. Find and interpret c'(100).
Answers
The correct answer for the intercept c'(100) is 0.04.
According to the question, the given expression for the cost function in terms of intercept is as written below:
[tex]c(q)=84+0.16q-0.0006q^{2} +0.00000q^{3}[/tex]
Differentiate the given expression and it can be re-written as:
[tex]c'(q)=0+0.16-0.0006(2q) +0.00000(3q^{2})[/tex]
Now, substituting the value of the variable 'q' as 100:
[tex]c'(100)=0+0.16-0.0006(2(100)) +0.00000(3(100)^{2})\\ c'(100)=0.16-0.0006(200) +0.00000(30000)[/tex]
⇒c'(100) = 0.16 - 0.12 =
c'(100) = 0.04
Hence, the correct answer for the intercept c'(100) is 0.04.
What is intercept?
The term intercept can be defined as the point on the y-axis. It is used to calculate the slope of the line. And it is that point from where straight line passes.
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Find the square for #40
Show your work
Answers
Answer:
Step-by-step explanation:
[tex]=(x1+x2)(x1+x2)\\=x1(x1+x2)+x2(x1+x2)\\=(x1)^{2} +x1x2+x1x2+(x2)^{2} \\=(x1)^{2} +2(x1x2)+(x2)^{2}[/tex]
Hope this helps!!!
Solve r = p/2 (b +k) solve for k
Help pls
Answers
Answer: k=(2r-bp)/p
Step-by-step explanation:
r = p/2 (b+k)
r = p/2 * (b+k)
r*2=2*p/2 * (b+k)
2r=p * (b+k)
2r/p=p(b+k)/p
b+k=2r/p
b-b+k=2r/p - b
k=2r/p - bp/p
k=(2r-bp)/p
Select the correct answer. Given: Line a and line b intersect Prove: Z1 Z3 A. B. O C. 2 Statements 1. Line a and line b intersect 2. ? 3. 23is supplementary to 22 4. 41/3 Which statement and reason best completes the proof? O D. 4 3 b 2. Z2is supplementary to 24 2. m/2 + m/3 = 180° 2. m/1 + m/4 = 180° Reasons 1. given 2.? 2. Z1is supplementary to 22 3. linear pair theorem 4. congruent supplements theorem. 2. linear pair theorem 2. definition of supplementary angles 2. definition of supplementary angles 2. linear pair theorem
Answers
The best statement and reason that completes the proof is option D that is,
statement- 2. ∠1 is supplementary to ∠2
reason- 2. linear pair theorem
To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.
Line a and line b intersect (given)
∠3 is supplementary to ∠2 because of linear pair theorem (given)
So, if we take ∠2 as the common angle
And ∠1 is supplementary to ∠2 by linear pair theorem ( option D)
Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3
Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)
Hence proved.
Therefore, the best statement and reason that completes the proof is
statement- 2. ∠1 is supplementary to ∠2
reason- 2. linear pair theorem
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Option D, which is the following, is the finest statement and justification for concluding the proof.
statement 2. 1 is an addition to 2
2. The linear pair theorem
We can apply the congruent supplements theorem to demonstrate 1 and 3. The congruent supplements theorem states that two angles are congruent if they are supplements of the same angle.
Lines a and b come together (given)
Because of the linear pair theorem, 3 is an addition to 2 (given)
Thus, if we consider 2 to be the common angle
And the linear pair theorem enables 1 to be an addition to 2 ( option D)
Then, 1 is an addition to 2 which is an addition to 3
Consequently, 1 + 3 (according to the congruent supplements theorem)
So it was proved.
As a result, the strongest argument and supporting evidence are
statement 2. 1 is an addition to 2
2. The linear pair theorem
Convert the US measurements as indicated. Round your results to two decimal places as needed.
Althea needs
85
ounces of coldcuts for a party. How many pounds and ounces does she need?
pounds and
ounces
Isabella is on a flight that lasts
3
hours and
24
minutes. How many minutes is the flight?
minutes
Mateo needs
68
cups of juice to make punch. How many gallons does he need?
gallons
Liam visited Europe for
3
weeks. How many hours did he visit?
hours
Answers
The value of the conversion will be:
5.3125 pounds
204 minutes
504 hours
How to compute the value?Althea needs 85 ounces of coldcuts for a party. The number of pound will be:
16 ounces = 1 pound
= 85/16
= 5.3125 pounds
The conversion of 3 hours to 24 minutes will be
= (3 × 60) + 24
= 204 minutes
The conversion of 3 weeks to hours will be:
168 hours = 1 week
3 weeks = 168 × 3 = 504 hours
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Un inversionista pierde en la bolsa el 10% de su capital, luego pierde el 20% de lo que le queda, vuelve a invertir y pierde el 10% de lo que quedaba, finalmente hace una última inversión, que resulta exitosa, ganando el 40% del resto. Si su capital inicial fue de $ 16 000. ¿Cuál fue el capital final resultante?
Answers
El capital final resultante es igual a $ 14 515,20.
¿Cómo determinar el capital final de un inversionista?
En este problema tenemos el caso de un inversionista que invierte cuatro veces, teniendo tres pérdidas y una ganancia sucesivas. Esta situación se puede modelar mediante una productoria que involucra el capital inicial y los porcentajes de ganancia y pérdida:
C' = C · Π (1 + r / 100) (1)
Donde:
C - Capital inicialr - Porcentaje de ganancia (la pérdida es un número negativo).C' - Capital finalEn consecuencia, el capital final resultante es el siguiente:
C' = 16 000 · (1 - 10 / 100) · (1 - 20 / 100) · (1 - 10 / 100) · (1 + 40 / 100)
C' = 14 515,20
El capital final resultante es igual a $ 14 515,20.
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5.666666666 to one decimal place
Answers
Answer:
5.7
Step-by-step explanation:
5.666666666 can be rounded to 5.7 because the first decimal place occurs immediately after the decimal point.
I.e. in the number 1.23456, the first decimal place value is 2.
Meaning when we round, we look at the second decimal place. Given that 5.666666666 has a second decimal place greater that 5, we can round to 5.7
lesson 8.1 PLEASE HELPPPPPPPPP.........
Find the area of each. Use [3.14] for the value of [pi]. Round your answer to the nearest tenth.
Answers
B. D=10
R=d/2=10/2=5
A=pi r ^2= pi*5^2
=78.5
C.28.2
D=22
#1 - (7^2)3.14 = 153.86, C
#2 - (5^2)3.14 = 78.5, C
the last 2 i got answers that weren't listed so im not sure
Solve the equation.
−
3
(
3
−
4
x
)
=
5
(
x
−
1
)
+
7
(
x
+
2
)
Answers
15545488455
54545545545542458545455154
4664254545
The line y=kx + 4 goes through the point (2,-2)
Find the value of K
Please answer quickly
Answers
You want to plug in the coordinate pair to solve this.
x = 2
y = -2
y = kx + 4
-2 = 2k + 4
-6 = 2k
k = -3
A citrus farmer wants to know which of three fertilizers (A, B, and C) is most effective for increasing the number of oranges on his trees. He is willing to use 30 mature trees of various sizes from his orchard in an experiment with a randomized block design.
Which of the following is a correct step regarding the randomized block design of this experiment?
Step 1: It is reasonable to think that there is an association between the size of the tree and number of oranges produced. So to control this influence, the farmer should form blocks based on the size of the trees (small, medium, large).
Step 2: The farmer should randomly assign one-third of the small trees to fertilizer A, one-third to fertilizer B, and one-third to fertilizer C.
Step 3: The farmer should do the same allocation for the medium and large sized trees.
Step 4: In the end, the farmer should measure each tree’s orange production.
or all of them correct?
Answers
All Steps are needed for know which fertilizer is most effective.
Step-by-step explanation:
Given that
A citrus farmer wants to know which of three fertilizers (A, B, and C) is most effective for increasing the number of oranges on his trees. He is willing to use 30 mature trees of various sizes from his orchard in an experiment with a randomized block design.To find
We have to find correct step regarding the randomized block design of this experiment.So, according to the question
The division of subjects into units known as blocks was a component of the randomized block design. the random application of treatment to each block's components or subjects.
Here, we divide the 30 mature trees into 3, resulting in three blocks, each with 10 mature trees. Then, each of the three units receives a random application of citrus fertilizers A, B, and C.
So, All steps are needed to analyse which of three fertilizers (A, B, and C) is most effective for increasing the number of oranges on his trees.
Step 1: will divide his 30 trees based on sizes.
Step 2: will be give the results of fertilizer A,B and C on the small trees.
Step 3: will be give the results of fertilizer A,B and C on the medium and large sized trees.
Step 4: is the part of measurement, which is give the final results which of three fertilizers (A, B, and C) is most effective and farmer can use one of that fertilizer for increase their production.
Answer:
All Steps are needed for know which fertilizer is most effective.To learn more about Division, please click on the link:
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Can someone help?? Thanks. :)
Answers
By applying the supplementary angle theorem, the magnitude of angle B (m<B) is equal to 38°.
What is a supplementary angle?A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle can be calculated by using this formula:
Q + R = 180
Where:
Q and R are measure of the angles subtended.
m<ADC = 180° - 110°
m<ADC = 70°
Substituting the given parameters into the formula, we have;
m<ADC + m<DAC + m<ACB = 180
70 + 46 + m<ACB = 180
116 + m<ACB = 180
m<ACB = 180 - 116
m<ACB = 64°
Now, we can determine the magnitude of angle B (m<B) based on the given diagram:
m<B = 180 - (m<CAB + m<ACB)
m<B = 180 - (78 + 64)
m<B = 180 - 142
m<B = 38°
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Write the following expression in simplest form.
the expression quantity negative two thirds times x minus 6 end quantity minus quantity negative 14 plus one sixth times x end quantity
three over 6 times x plus 8
three over 6 times x plus negative 20
negative five sixths times x plus eight
negative five sixths times x plus negative 8
PLS HELPP MEE
Answers
The correct answer in solving the word problem is option C which is negative five sixths times x plus eight
What is a word problem?Word problems as used in mathematics refers to developing mathematical equations from word descriptions.
An instance is the question, where equations are represented in words to be rewritten in figures which is a more desirable form of writing equations.
The equation is rewritten in words and solved as below.
How to write and solve the equation
Given data
[tex]( -2/3 * x - 6 )- ( -14 + 1/6 * x)[/tex]
solving the equation:
[tex]= ( -2/3 * x - 6 ) - ( -14 + 1/6 * x )[/tex]
[tex]= ( -2x/3 - 6 ) - ( -14 + x/6 )[/tex]
opening the parenthesis leads to change of signs as follows
[tex]= -2x/3 - 6 + 14 - x/6[/tex]
collecting like terms
[tex]= -2x/3 - x/6 - 6 + 14[/tex]
[tex]= - 5x/6 + 8[/tex]
Therefore the correct answer is option C which is negative five sixths times x plus eight
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Answer:
negative five sixths times x plus eight
Step-by-step explanation:
i had this question and got it right
What’s the answer
19v-3|=-4
Answers
Answer:
-1/19
Step-by-step explanation:
|19-3| =-4
( |___| ) it means the determination of us;
19v-3=-4
19v=-4+3
19v=-1
v=-1/19
 may I please get help
Answers
Price = $1,199
They gave off 40% discount
I. E. $1,199/100 × 40%
= $479.60
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answers
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
NEED HELP
OFFERING 20 POINTS
Answers
Answer:
Step-by-step explanation:
the correct answer is is the (D)
Answer: y=3x-9
Step-by-step explanation:
Lines are called parallel if their angular coefficients are equal to each other
Hence, y=3x-9
Four friends volunteered to help Mr. Kirby build a new fence around
his property. If the property had a perimeter of 880 ft., how many feet
of fence would each man, including Mr. Kirby, have to build?
Answers
Which of the relations shown does NOT represent y as a function of x?
Answers
In mathematics, a function is what identifies dependency; nevertheless, in choice D, the connection between y and x was not one of reliance since x stayed constant while y changed.
The D Option
What is a function?Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
In conclusion, In math, function identifies dependence and in option D, that was not the relationship b/e y and x, as x remained constant as y varied.
Option D
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In a complete sentence, explain the difference between the two decimal forms of rational numbers. Provide an example of each as a fraction. Convert each fraction to its decimal equivalent. Then, classify the decimal as terminating or repeating.
Answers
Answer:
유리수는 정수이며 x/y 형식으로 표현될 수 있는 숫자입니다. 여기서 분자와 분모는 모두 정수입니다. 무리수는 분수로 나타낼 수 없는 수입니다. 17은 정수이고 48은 소수 부분인 십진수 17.48의 예입니다.7/10000은 0.0007과 같은 소수 형식으로 작성된 소수 분수입니다. 19/10은 1.9와 같은 소수 형식으로 작성된 소수입니다. 39/1000은 0.039로 표기된 소수입니다. 모든 정수는 분수로 깔끔하게 변환될 수 있으며 유리수입니다. 예를 들어 3은 3/1로 표현할 수 있습니다. 그리고 분자(3)와 분모(1)가 모두 정수이고 분모가 0이 아니므로 3은 유리수입니다.종료 소수점 또는 반복 소수점으로 쓸 수 있습니다.
Step-by-step explanation:
이것이 당신을 돕기를 바랍니다.
According to a recent survey, 62 % of the population owns a cat. 37 Percent of cat owners are married, while 44 % of non-cat owners are married. If you randomly select a person, what is the probability that she/he is married?
Answers
Answer:
There are two possibilities that you need to take into account:
1) having a cat and being married
2) not having a cat and being married
P(having a cat) = 0.19
P(no cat) = 1 - P(having a cat) = 1 - (0.19) = 0.81
Since 9% of cat owners are married: (0.19)(0.09) = 0.0171
Since 11% of non-cat owners are married: (0.81)(0.11) = 0.0891
Probability of randomly selected person being married = 0.0171 + 0.0891 = 0.1062
Find Pif P = −0.1x² +34x + 2800 and
a. x = 140, P =
b. x = 200, P =
Answers
Answer:
a) 5600
b) 5600
Step-by-step explanation:
[tex]a) \: ( - 0.1 \times {140}^{2} ) + (34 \times 140) + 2800 \\ ( - 0.1 \times 19600) \: + 4760 + 2800 \\ - 1960 + 4760 + 2800 = 5600 \\ \\ b) \: ( - 0.1 \times {200}^{2} ) + (34 \times 200) + 2800 \\ ( - 0.1 \times 40000) + 6800 + 2800 \\ - 4000 + 6800 + 2800 = 5600[/tex]
if two angles are not adjacent, then they are not a linear pair
Answers
False, if two angles are not adjacent, then they are not a linear pair.
Given that,
To justify that if two angles are not adjacent, then they are not a linear pair.
The angle can be defined as the one line inclined over another line. The measure of angle is in degrees and radians.
Here,
When two angles are not adjacent can be linear pairs,
But pair can be linear pair whether the angle is not adjacent.
Thus, the statement is false False, if two angles are not adjacent, then they are not a linear pair.
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A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in
minutes). Which of the following defines a formula for computing the time, t, as a function of the volume, u?
Answers
Answer:
none of above or number 1 or "2 or " 3
