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.
If you want to learn more, you can read:
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Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]
Step-by-step explanation:
-8
-9
-10
-11
just subtituted the remaining values of x.
Answer:
x= -1 —> y= –8
x=0 —> y= –9
x=1—> y= –10
x=2—>y= —11
Step-by-step explanation:
x= -1 —>y= -(-1)-9= +1-9 = –8
x=0 —> y= -(0)-9= –9
x=1—> y= -(1)-9= -1-9= –10
x=2—>y= -(2)-9 = —11
I hope I helped you^_^
I need help ASAP IM IN SCHOOL!!!
Answer:
-4, -9/4, 1/2, sqrt5, 3.7
If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98
F=ma find out f if m-26 and a-3 please help
Answer:
78
Step-by-step explanation:
26 + 26 + 26 = 78
4
Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.
Answer:
x 3:7 y 5:9 :)
Step-by-step explanation:
I need workings pls.and I want you to understand my questions
1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛
Answer:
-1/2 , -1, -3/2
Step-by-step explanation:
1.)log base 16 1/4
log base 16 [tex]4 ^{-1 }[/tex] =x
[tex]16 ^{x} = 1/4[/tex]
x = -1/2
2.)log base 7 ¹/7
log base 7 [tex]7^{-1}[/tex] = x
7^x = 7^-1
x = -1
3.)log base 4 ⅛
4^x = 1/8
[tex]2^{2x} = 2^{-3}[/tex]
2x = -3
x = -3/2
Answer:
Step-by-step explanation:
1. Let a = log16 0.25, then:
0.25 = 16 ^ a = 16^-0.5
So the answer is -0.5.
2. log7 1/7
1/7 = 7^-1
Answer is -1.
3. log4 1/8
1/8 = 4^(-1.5)
Answer is -1.5
Solve for h in the equation 15-2h=6
Answer:
h=4.5
Step-by-step explanation:
15-2h=6 Get rid of any constants of the side of the variable.
-15 -15
-2h=-9 Divide -2 from both sides to isolate h.
/-2 /-2
h=4.5
Hope this helped you out! Have a wonderful day :)
The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?
Step-by-step explanation:
numbers
first = X
second = (x-10)
Third = 4(x-10)
x + (x-10) + 4(x-10) = 124
2x -10 + 4x-40 =124
6x - 50 = 124
6x = 124 + 50
6x = 174
x= 29
therefore the ;
first number = 29
second = (x-10) = 29-10 = 19
third= 4(x-10) = 4(29-10)= 76
…..Help 30 points ……………
Answer:
answers below
Step-by-step explanation:
1. 21.50n (Print it)
2. 70+18n (Top Print)
3. This one is more complicated. First, you find out the cost from each store, by inserting 30 in place of n. (1. =645), (2.=610). Then, you subtract 610 from 645, which gets your difference to 35$.
4. There is an error in the wording, but the answer should be something along the lines of this. "Bill would need to buy 2 fewer shirts from Print It than from Top Print for Print it to be cheaper."
PLEASE HELP GIVING BRAINIEST AWNSER WORTH 20 POINTS
Write an algebraic expression that has two different variables
and two different operations: addition, subtraction, multiplication, or division. Then write
a real world problem that uses the expression.
a real world problem that uses the expression
Hi, I'm happy to help!
First, we need to use two variables. Let's use x and y for this example.
Let's use a Multiplication and Addition operation for our word problem.
Our expression can be something like this.
3x+y
Now, we form this into a word problem.
Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3
Here's how you would solve:
3x+y
(3×10)+3
30+3
33
Joe picked 33 apples.
I hope this was helpful, keep learning! :D
Write √ 3 x √ 6 in the form b √2 where b is an integer.
Answer:
Step-by-step explanation:
The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)
sqrt(3)* sqrt(6)
sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)
sqrt(3)*sqrt(2)(sqrt(3)
sqrt(3)*sqrt(3)*sqrt(2)
3*sqrt(2)
find product of :(2x-y)(2x+3y).
Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
2 [3 (7-5) + 4 (8 + 2)]
Answer:
92
Step-by-step explanation:
2 [3 (7-5) + 4 (8 + 2)]
= 2 [3 × 2 + 4 × 10)]
= 2 [ 6 + 40 ]
= 2 × 46
= 92
A number is divided by 2, and then the quotient is increased by 8. The result is 33.
Answer:
33
Step-by-step explanation:
please let me know if I’m correct
hope this helps
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the year were $3,500. Which of the following represents his total employment compensation?
a.
$46,650
b.
$47,650
c.
$50,150
d.
$53,650
Please select the best answer from the choices provided
A
B
C
D
Answer:
D. 53,650
50,150+3,500=53,650
Mark is mixing different color paints for a mural
he has been asked to paint in the school
gymnasium. To create the color purple he wants,
Mark mixes r gallons of red paint with b gallons of
blue paint. Red paint costs $25 per gallon and
blue paint costs $22 per gallon. He also needs $65
to spend on paint supplies.
Mark knows the cost of his paint and supplies can
be found using the expression
Answer:
25r+22b+65s
Step-by-step explanation:
ok so like uhh yea
ok this is the last one i swear , i’m so bad at finding mistakes
Answer:
there is no mistake
Step-by-step explanation:
this seems weird ik but i dont think there is even a mistake? the answer is definitely -7/2 or -3.5
[tex]\frac{-3+-6}{3}[/tex]
whats the answer to that?
Answer:
-3
Step-by-step explanation:
A postive and a negative becomes a negative.
So -3 + - 6 becomes
-3 - 6
= -9
The -9 is over 3, which is 9/3 negated, so 3 negated which is -3.
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Answer:
Commutative Property of Addition
Step-by-step explanation:
3(x − 4) + 5x = 9x − 36
3x − 12 + 5x = 9x − 36 Distribute
3x + 5x − 12 = 9x − 36 Commutative Property of Addition
what is trigonometry???????
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.
if M={a,b,c,d} and N={c,b,e,f},find the value of M-N
Answer:
M-N= {a,d}
Step-by-step explanation:
subtract the common elements
(a, d)
(
Step-by-step explanation:
because a and d are not in N ,
What is the area of this figure?
5 yd
2 yd
2 yd
5 yd
3 yd
5 yd
4 yd
4 yd
Write your answer using decimals, if necessary.
square yards
PLS IT 11 points
the answer is 47yd²
hope it help n please give me brain.. thanks
why is the graph dashed line Rather than solid line?
Answer: Inqualities that use < and> with a line under them means solid line
Step-by-step explanation: whereas < and> by themselves is dashed
I don’t get this how do these things work please explain
Answer:
Ok, so:
-The number of people who like tea are represented in the first column.
-The number of people who dislike tea are represented in the second column.
-The number of people who like coffee are represented in the first row.
-The number of people who dislike coffee are represented in the second row.
This works like a multiplication chart:
People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.
At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.
(52 people like tea, 80 people were surveyed)
I hope this helps you understand, please ask any clarifying questions you need! : )
please help its urgent
Step-by-step explanation:
tn=3n+8
t1=3*1+8
=3+8
=11
t7=3*7+8
=21+8
=29
t14=3*14+8
=42+8
=50
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
Cuanto es 2/9 - 4/15
Answer:
Step-by-step explanation:
Common denominator is 45
(45/9)*2 = 10 and (45/15)*4 = 12
10/45 - 12/45 = - 2/45
Can someone help me with my homework I don’t understand it
Answer:
1 : 14
hard to see image (try using screen shots)
but.... 2 inches to 4 feet would be
2 : 48 which is
1 : 14
Step-by-step explanation:
HELP PLEASE
a rectangle room has an area of 400 square feet. the length is 7 feet less than twice the width. find the dimensions of the room.
Answer: 16 feet is the width and 25 is length
Step-by-step explanation:
x*(2x-7)=400
Word problem written in numerical form^^^^
Solve for x to get 16
length = 2(16)-7= 25
Check our work
16*25=400 yay
Solve each for X. Show your work
1). 1/2x - 1/4 = 3/5x + 2
2). 10-1/2x = 6 + 3x
Answer:
1). [tex]x = \frac{8}{7} [/tex]
2). [tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]
[tex]20 - x = 12 + 6x[/tex]
[tex]20 - x - 6x = 12 + 6x - 6x[/tex]
[tex]20 - x - 6x = 12[/tex]
[tex] - x - 6x = 12 - 20[/tex]
[tex] - 7x = 12 - 20[/tex]
[tex] - 7x = - 8[/tex]
[tex]x = \frac{8}{7} [/tex]
•■•■•■•■•■•■•■•■•
2) [tex]x = - \frac{45}{2} [/tex]
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]