Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.
We can define two parallel lines as two lines that never meet.
And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:
(x, - y)
And all the reflections across horizontal lines will only affect the y-value of the points.
Now, particularly, we have two vertical and parallel lines.
Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.
From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.
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Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:
Answer:
Step-by-step explanation:
Earnings per week = $ 400
Earning for 'w' week = 400*w + holiday bonus
= 400w + 250
Earnings at 4 weeks = 400*4 + 250
= 1600 + 250
= $ 1850
Earnings at 12 weeks = 400*12 + 250
= 4800 + 250
= $ 5050
Earnings at 36 weeks = 400*36 + 250
= 14400 + 250
= $ 14650
Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK
Answer:
(1, - 1 )
Step-by-step explanation:
A translation of 2 down means subtract 2 from the y- coordinate
(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
(- 1, 1 ) → (1, - 1 )
Overall
(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )
The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
What is coordinate?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,
(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)
Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,
(-1,1) ⇒ (1, -1)
Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
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Write the Roman Numeral CLXIV in standard form. Roman Numeral Standard Number 1 5 10 50 100 500 1,000 X L C D A) 169 B) 166 C) 164
Answer:
164
Step-by-step explanation:
in standard form CLXIV IS 164
Jim's cat can run 4 blocks in 15 seconds. Juanita says one of her cats can run 3 blocks in 11
seconds. Who has the fastest cat? How did you decide?
Answer:
Juanita's cat is faster because it can run more blocks in a second
Step-by-step explanation:
Take the number of blocks and divide by the number of seconds
Jim:
4 blocks/ 15 seconds
.26666.... block per second
Juanita
3 blocks / 11 seconds
.2727...... blocks per second
Juanita's cat is faster because it can run more blocks in a second
Find the possible subsets of A = {a,b}
Answer:
Step-by-step explanation:
Subset of A = { {} , {a} , {b}, {a.b} }
. Strengthening Vinegar: A food chemist has 200 gallons of
vinegar that is 4% acetic acid. How much acetic acid must be
added to get the acetic acid up to 5%?
Which expression is equivalent to 180?
Answer:
[tex] \sqrt{2.2.3.3.5} [/tex]
[tex]\sqrt{2.2.3.3.5}[/tex] is equivalent to [tex]\sqrt{180}[/tex]. Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: [tex]\(180 = 2^2 \times 3^2 \times 5\)[/tex]
Next, we can group the perfect square factors together:
[tex]\(180 = (2 \times 3)^2 \times 5\)[/tex]
Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:[tex]\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)[/tex]
The square root of a perfect square is just the value of the number itself:
[tex]\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)[/tex]
Finally, we can simplify the expression by multiplying the numbers outside the square root [tex]\(\sqrt{180} = 6\sqrt{5}\)[/tex]
So, the expression [tex]\(6\sqrt{5}\)[/tex] is equivalent to [tex]\(\sqrt{180}\)[/tex], and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.
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Helps please
What is the answer for all of them?
Can any one tell me this i have to do this for my tomorrow school
Answer:
Step-by-step explanation:
5068300- five million, sixty-eight thousand, three hundred
472607- four hundred seventy-two thousand, six hundred seven
51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven
What fraction of $1,75 is 77c
Answer:
44 :
Step-by-step explanation:
77/175 = 0.44
0.44x100
BRAINLIEST:
The area of a rectangle is (16x^2– 9y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
Answer:
4x^2 -12x +9
now
4 x 9 = 36
first take out the LCM of 36
it will be
2 x 2 x 3 x 3
4x^2 -6x -6x +9
2x(2x-3) -3(2x-3)
(2x-3)(2x-3)
it is showing that
2x-3 is the length for part A
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.
Answer:
Subtract 5 from input.
Step-by-step explanation:
10-5=5
8-5=3
6-5=1
Note:if you need to ask question let me know about it.
What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2
urgent answer needed pls
Answer:
It's 87.
Step-by-step explanation:
See the picture upside down.
Is √5x - 12 = 0 nonlinear or linear?
If 3 sin A + 4 cos A =5, show that sin A=3÷5
you can use both either (4tanA+3) or, (4tanA-3)
hope this helped you ☺️
any confusion comment it and let me know.
So the question is "Write down four common multiples of 2 and 3"
Step by step explaination :(
Answer:
The common multiples of 2 and 3 are 6,12,18,24
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27...
Common multiples of 2 and 3 include 6, 12, 18, and 24.
Complete the table for the given rule. Rule: y x/4 (fraction)
x y
fill in | 4
fill in | 2
fill in | 9
Answer:
16, 8, 36
Step-by-step explanation:
x = 4y
y = 4, x = 16
y = 2, x = 8
y = 9, x = 36
What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°
Answer:
the sum of interior angles of a 14 sided shape be 2160
Answer: D) 2160
Work Shown:
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
S = 180(14-2)
S = 180*12
S = 2160
Which system of inequalities is shown?
Answer:
C. y>x
y>4
Step-by-step explanation:
the line passes y intercept (0,4) is y = 4
the line passes (0,0) and (5,5) is y = x
so, the system of inequalites of the shaded area is : y>x and y>4 (option C)
What decimal is equal to the following fraction?
12/20
Answer:
It is 0.6
Step-by-step explanation:
[tex] \frac{12}{20} [/tex]
divide numerator and denominator by 2:
[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]
since it's a tenth, it becomes a value with out decimal place:
[tex] = 0.6[/tex]
A number line shows 1 1/5, −2 2/5, and −1 3/5. Which statement is NOT true?
Answer:
The answer Is A 1 1/5 < -2 2/5
Step-by-step explanation:
It says that this statement is true because 1 1/5 is to the left of -2 2/5 on the number line but it is actually to the right because -2 2/5 is negative while 1 1/5 is positive therefore making it larger and the correct statement would be that 1 1/5 > -2 2/5
Here is the histogram of a data distribution. All class widths are 1
What is the median of the distribution?
Answer:
it is d
Step-by-step explanation:
thank me later yung bloods
A woman takes 3000 on a vacation and spends 150 a day which expression gives the amount she has in dollars after n days
What is the measure of ZA?
Select the best answer from the choices provided.
A. 35
B. 55°
С.70°
D.110°
Answer:
55°
Step-by-step explanation:
Since two of the sides are the same length, that means ∠A and ∠B are the same.
All angles of a triangle add up to 180°
180 - 70 = 110
To find ∠A, we just divide 110 by 2
110 ÷ 2 = 55
Both ∠A and ∠B are 55°
what is the value of 45c+28d when c=-5 and d=2
45×(-5) + 28×2
-225 + 56
Ans -169
Which theorem can be used to show that AABC = ADEC?
how to understand hypabolic equations
Answer:
The wave equation utt − uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic.
CORRECT ANSWER ONLY PLEASE!! What is the simplest radical form of the expression?
(8x5y3)23
The choose 1.
[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]
I hope I helped you^_^
The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².
This can be expressed mathematically as
[tex](\sqrt[3]{ax} )^2[/tex]
From the given expression
[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]
Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
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Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?
Answer:
$5.35
Step-by-step explanation:
20-14.65=5.35
