The coordinates of the vertices of △DEF are D (1, 2) , E (2, 0) , and F (−1, 0) .
The coordinates of the vertices of △D′E′F′ are D′ (1, −4) , E′(2, −2) , and F′ (−1, −2) .
What is the sequence of transformations that maps △DEF to △D′E′F′ ?
Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △DEF to △D′E′F′ is a _____ followed by a ________.
Answers
Answer:
Step-by-step explanation:
△D′E′F′ is reflection of △DEF across y = - 1.
The transformation of the △DEF to △D′E′F′ is as follows; The △D′E′F′ is a reflection of △DEF across y = - 1.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given triangle △DEF with vertices D (1, 2) , E (2, 0) , and F (−1, 0) .
The plot of the above triangle has been plotted below,
As per the given triangle △D′E′F with vertices D′ (1, −4) , E′(2, −2) , and F′ (−1, −2) .
The plot of the above triangle has been plotted below,
It is clear that △DEF is reflected and how much is reflected can be known by making equal distance.
Since it equals apart from y = -1 thus it will be a reflection of y = -1.
Hence "The transformation of the △DEF to △D′E′F′ is as follows; The △D′E′F′ is a reflection of △DEF across y = - 1".
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Related Questions
Sarah paid $1,932 in tax on her new car
which had a purchase price of $80,500.
Which other car tax & price
varies directly with hers?
A) Purchase Price = $68,000 & Tax = $1,020
B) Purchase Price = $92,000 & Tax = $2,760
C) Purchase Price = $75,000 ¢ Tax = $1,350
D) Purchase Price = $85,000 & Tax = $2,040
Answers
Answer: D. Purchase Price = $85,000 & Tax = $2,040
Step-by-step explanation:
From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:
= $80500 / $1932
= 41.67
The options that varies directly with the above will be:
A. Purchase Price = $68,000 & Tax = $1,020
Constant of proportionality
= $68000 / $1020 = 66.67
B) Purchase Price = $92,000 & Tax = $2,760
Constant of proportionality:
= $92000 / $2760
= 33.33
C) Purchase Price = $75,000, Tax = $1,350
Constant of proportionality:
= $75000 / $1350
= 55.56
D) Purchase Price = $85,000 & Tax = $2,040
Constant of proportionality:
= 85000 / 2040
= 41.67
Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.
Answer both questions please! [ Brainliest ]
-
1. The measure of an angle is 63.5°. The measure of its supplementary angle is ___
degrees.
2. The measure of an angle is 64°. The measure of its complementary angle is ___
degrees.
Answers
#2 answer is 26 degrees
#1 was found by 180-63.5=116.5
#2 was found by 90-64=26
Answer:
1. 116.5 degrees
2. 26 degrees
A recipe uses 1/3 cup of flour and 1/8 cup of sugar.How much flour and sugar does the recipe use altogether?
Answers
Answer:
11/24
Step-by-step explanation:
Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.
PLEASE HELP FAST! Solve for Y in the following system of equations!
X-y=-1
3x+5y=21
A.) 2
B.) 3
C.) 9
D.) 12
Answers
Answer:
B.) 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x - y = -1
3x + 5y = 21
Step 2: Rewrite Systems
x - y = -1
Add y to both sides: x = y - 1Step 3: Redefine Systems
x = y - 1
3x + 5y = 21
Step 4: Solve for y
Substitution
Substitute in x: 3(y - 1) + 5y = 21Distribute 3: 3y - 3 + 5y = 21Combine like terms: 8y - 3 = 21Add 3 to both sides: 8y = 24Divide 8 on both sides: y = 3Please Help!!
7 times a number minus the number is -48 find the number
Answers
Find the constant rate of change from the table
Answers
Answer:
going on by 2 every
Step-by-step explanation:
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal. A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Answers
Answer:
A. $0.25 per ounce
B. 4 ounces per dollar
Step-by-step explanation:
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.
A) How much does popcorn cost per ounce? The cost per ounce is dollars.
10 ounces of spicy popcorn = $2.50
1 ounce of spicy popcorn = x
Cross Multiply
10 ounces × x = $2.50
x = $2.50/10 ounces
x = $0.25 per ounce
B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.
$2.50 = 10 ounces of spicy popcorn
$1 = x ounce of spicy popcorn
Cross Multiply
$2.50 × x = 10
x = 10/2.50
x = 4 ounces per dollar
C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
10. A washing machine repairer charges a total of £T for a repair which takes H hours. The formula
connecting T and H is
T = 35 + 20H.
Find H when T is 85.
Answers
The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.
The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.
The general form of linear equation is of the form ax + by = c where a and b are constant co-efficient and c is a constant. Here y is the dependent variable and x is the independent variable.The graph of a linear equation in two variables is a straight line in the cartesian plane.Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .
T=35 + 20 H
At T = 85 , we substitute the value of T in the linear equation to find H .
T=35 + 20 H
or, 85 = 35 + 20H
or, 50=20H
or, H=2.5
Therefore the value of H is 2.5 hours when T is 85.
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what is the upper and lower bound of 0.82
Answers
Answer:
What ?
Step-by-step explanation:
Work out the equation of a line which has a gradient of 3 and passes through the point (-1,3)
Answers
The equation of line is given as : y = 3x + 6
According to the question we have been given that the line passes through the points (-1,3) and has gradient 3
We need to find the equation of line. The general form of slope intercept form is
y = mx + c
where, m = slope
c = intercept
When a point and slope is given then the expression for the equation of line is given as:
[tex](y - y_{1})=m(x-x_{1})\\[/tex] (1)
where (x1,y1) are the coordinates which is (-1,3)
m = slope or gradient = 3
Putting the required values in equation (1) we get
(y-3) = 3(x+1)
y-3 = 3x + 3
y = 3x + 6
Hence the equation of line is given as : y = 3x + 6
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Answer: y=3x+6
Step-by-step explanation:
Does anyone know what the solution to −1.3≥2.9−0.6r is??
Answers
Answer:
yes its r>7
Step-by-step explanation:
-1.3>2.9-0.6r subtract 2.9 on both sides and do KCC keep change change
-2.9 -2.9
__________
-4.2>0.6r
________ divide by -0.6 on both sides to get
.6 .6
________
7<r or r>7 either way is fine
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
7
Step-by-step explanation:
The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.
Answer:
x = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
33° + 90° + (7x + 8)° = 180°
Step 2: Solve for x
Combine like terms: 7x + 131 = 180Isolate x term: 7x = 49Isolate x: x = 7a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass
Answers
HELP ASAP!! GIVING BRAINLY
Answers
Answer:
1) D
2)A
Step-by-step explanation:
Number 1) Don’t get confused with the -10 and 10, we already know that the value is already 20 so that narrows it to 2 choices. Now everytime you move on, it subtracts 10 so its 20:-10
Number 2) This one is pretty easy, we know that he drives about 12,000 miles a year but we don’t know how many years, so that unknown variable would be (x), now the 40,000 miles was already on it so that can’t change, only The years change so therefore the equation could be 12,000x+40,000
!!NEED HELP!!
The formula a subscript n = 10 - 4n describes an arithmetic sequence. What are the first four
terms in the sequence?
A)6, 2, -2,-6
B) 6,2,0,-2
C)10, 6, 2,-2
D)14, 18, 22, 26
Answers
Answer:
A)6, 2, -2,-6
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = a +dn-d
a(n) = a-d + dn
a(n) = 10 - 4n
So d=-4
to get a: (a-d)=10
a=10-4=6
The first four terms:
a(1) = 6 +(1-1)-4=6
a(2) = 6 +(2-1)-4=2
a(3) = 6 +(3-1)-4=-2
a(4) = 6 +(4-1)-4=-6
it will be A
hope this helps
which one is it??? plz answer fastttttttt
Answers
Answer:
The last one (8.6x10^-2)
As an estimation we are told 5 miles is 8 km.
Convert 57.5 miles to km.
Answers
Answer:
5 miles=8km
1miles=8/5=1.6km
57.5 miles=(57.5×1.6)km
=92km
Which type of transformation is describe by (x,y) and (x+2,y+3)?
Answers
Answer:
fing the variable that is what u need
You have $20 to spend at the dollar store for Jake and Julian's birthdays. You want to buy 2 sodas for Jake, 4 candy bars for Julian, and an equal number of balloons b for them both with the rest of your money. Which equation below will determine how many balloons each friend receives?
Answers
2+4+b/2 =20
2+4+b =20
2+4+2b =20
20-4-2 =b
2(2+4+b) =20
Answers
Using a system of equations, the equation that determines how many balloons each friend receives is given by:
2 + 4 + 2b = 20.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable s: number of sodas bought.Variable c: number of candy bars bought.Variable b: number of balloons bought.You want to buy 2 sodas for Jake, 4 candy bars for Julian, hence:
s = 2, c = 4.
An equal number of balloons b, hence 2b is added to the equation, as the amount has to be 2, 4, 6, and so on, considering one balloon for each.
The total amount of money is of $20, hence the equation is:
2 + 4 + 2b = 20.
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How do you get from one number to the next using multiplication or division?
From 100 to 106.
Answers
We can move from 100 to 10^6 by multiplying with 10^4.
How do you use multiplication?We know that it is possible to move from one value to another by the use of multiplication or division. Now in either case, there is a value that we have to us to multiply or divide another number order to move from one number to another.
Now we have the number 100 and we want to change it to 10^6. The implication of this is that the number 100 must have to be multiplied by the number 10^4 in order to arrive at the expected destination.
Thus;
100 * 10^4 = 10^6
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A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answers
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
What is the slope of the line ?
Answers
Answer:
[tex]m=\frac{8}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -4)
Point (1, 4)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{4+4}{1+4}[/tex]Add: [tex]m=\frac{8}{5}[/tex]what is 12 34/100 written in standard form?
Answers
Answer:
12 17/50
Step-by-step explanation:
Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.
The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).
Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.
Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.
Hope this helps :)
what is 3n - (2+n) if N is equal to 6?
Answers
Answer:
22
Step-by-step explanation:
but be more especific
Graph a line that contains the point (6,-5) and has a slope of -2/3
Answers
Answer:
The line to graph is y=-[tex]\frac{2}{3}[/tex] -1
Step-by-step explanation:
In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).
1. Plug info into point-slope form:
y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)
2. Simplify:
y+5=-[tex]\frac{2}{3}[/tex] x+4
3. Simplify even further:
y=-[tex]\frac{2}{3}[/tex] -1
To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.
A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!
Answers
Answer:
6 days to produce
Step-by-step explanation:
24÷4=6 days
The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Calculation of the no of days:Since A clothing factory produces 4 boxes of jackets every 3 days.
Here the number of days should be
[tex]= 24\div 4[/tex]
= 6 days
Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
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graph the following state and show the a h and k values.
y=2(x+3)^2-4
Answers
how to solve this 2x+x-4y
Answers
Answer:
Combine like terms
2 + − 4
3x − 4y
Answer:
[tex]3x-4y[/tex]
Step-by-step explanation:
[tex]2x+x-4y[/tex]
If a term doesn't have a coefficient , it is considered that the coefficient is 1
[tex]2x+1x-4y[/tex]
Why is it considered that the coefficient is 1?
Remember that any term multiplied by 1 remains the same:
[tex]1.x=x[/tex]
Step 1
The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:
[tex]x=1 . X \\[/tex]
Step 2
Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:
[tex]x=1x[/tex]
That is why we can write the term without the coefficient as a term with coefficient 1.
Let's go back to your problem now
Collect like terms by adding their coefficients
[tex](2+1)x-4y[/tex]
Add the numbers
[tex]3x-4y[/tex]
PLEASE MARK ME AS BRAINLIEST
Which way will water move in this example shown below?
The water will not move
Water will move into the cell
The water will evaporate
The water will move out of the cell
Answers
Answer: it will move down.
Step-by-step explanation:
because of gravity.
Please, giving all my points.
Combine and Simplify 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
WRITE 2 WAYS
Answers
Answer: -4x-34y-32
(I think this is right but I am not completely sure... if its not I am sorry :/ )
Step-by-step explanation:
First Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]
48(-2/24x-17/24y-2/3)
48(-1/12x-17/24y-2/3)
-4x-34y-32
Second Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
12x-16y-16x-18y-32
-4x-34y-32