Answer:
Question 7: The new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question 8: The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Step-by-step explanation:
Question No 7:
Translation Rule: (x,y) =>
U(-5,1), V(-4,3), W(-3,3), X(-4, 1)
In order to get the new coordinates, we have to add 6 to x-coordinate of vertices subtract 3 from y-coordinates of all vertices. So,
[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]
Hence, the new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question No 8:
W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)
Translation Rule: (x+2,y+2)
In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,
[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]
Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) – C(x). Andrew has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=8x and C(x)=100+3x What is the profit function for Andrew's new product line?
Answer: 8x - 1200
Step-by-step explanation: Because I did the problem
The profit function for Andrew's new product line is P(x) = 5x - 100.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) - C(x).
The revenue and cost functions for a new product line at his business are given by these functions. R(x) = 8x and C(x) = 100 + 3x.
Therefore, P(x) = 8x - (100 + 3x).
P(x) = 8x - 100 - 3x.
P(x) = 5x - 100.
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If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.
Answer: I think it is D
Find the value of x that makes the equatlon true:
11x=143
Answer:
11(13)=143
Step-by-step explanation:
i divided 143 with 11 and got 13
your welcome for the help :D
1. There are 4 quarters in 1 dollar.
a) Shade 1 of a dollar.
2
1
a
+
b) How many cents are in
2
of a dollar?
NE
Help plss
Answer:
1) Shade 2.
2) 50 cents
Step-by-step explanation:
1/2 of a dollar is 2 so shade 2.
B) 50 cents.
Hope this helps Happy Thanksgiving !!!!!!,!
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
(Sorry if this is easy, I'm bad at math.)
(Written response, please help me!!)
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Personally I always do the smallest variable in order to make it easier
Step-by-step explanation:
in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9
from there you would add 9 to both sides and get 16 = 7x
then x = 2.29 (it's rounded up from 2.285...)
A group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. If they continue at this rate, how long should it take them to travel 10 miles?
Answer:
4 hours
Step-by-step explanation:
5miles /2 hours=10miles/x(proportion)
20miles=5x
x=4
so 4 hours.
Hope this helps :D
If group of boy scouts are hiking the Appalachian Trail. They determine that they are traveling at a rate of 5 miles every 2 hours. It took 4hrs them to travel 10 miles.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A group of boy scouts are hiking the Appalachian Trail.
They are traveling at a rate of 5 miles every 2 hours
We need to find how long will it take for them to travel 10 miles at the same rate.
Let x be the required time
5/2=10/x
Apply cross multiplication
5x=20
Divide both sides by 5
x=4
Hence it took for them 4 hours to travel 10 miles of distance
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Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?
Answer:
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Step-by-step explanation:
Science club flyers = 12
Music club flyers = 18
He wants to make sure that no flyers are left over.
Find the highest common factor of 12 and 18
12 = 1, 2, 3, 4, 6 and 12
18 = 1, 2, 3, 6, 9 and 18
The highest common factor of 12 and 18 is 6
The greatest number of locations that Leon can post at is 6 locations
Science club flyers = 12
= 12 / 6
= 2
Leon will post 2 science club flyers in each location
Music club flyers = 18
= 18 / 6
= 3
Leon will post 3 music club flyers in each location
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Round 10,982 to the nearest thousand
Answer: 11,000 - rounded to the nearest thousand!
A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?
Answer:
I think it is 8.
Step-by-step explanation:
But I might be wrong.
Answer:
36 sides
Step-by-step explanation:
360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.
heyo bros i need you're help here.........
Answer:
prime number number that are divisible by itself n 1
=10
Does anyone know the answer to this?
Answer:
<ABD is 73 ...work below
Step-by-step explanation:
5x + 18 + 4x +5 = 122
9x + 23 = 122
9x = 99
x = 11
no since we got x...
5(11) + 18
73
You are the marketing manager for Pointer Plumbing. You are
earning an annual salary of $41,600. You are single and claim
3 allowances. Using the percentage method, what amount is
withheld from your weekly pay for federal income tax?
Answer:
13866.66
Step-by-step explanation:
you divide
Brainliest please
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
Answer:
5740
Step-by-step explanation:
Enter the number in scientific notation.
4,800,000,000,000 =
x10
Answer:
4.8 x 10^12
Step-by-step explanation:
Move the decimal to the second space so:
4.800000000000
Then count how many spaces the decimal moved so:
12
Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.
Step-by-step explanation:
4,800,000,000,000 = 4.8 x 10^12
This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
ASAP plzzz thanks
What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15
Answer:
its 15 ur counting by 3's
Step-by-step explanation:
Answer:
it is 15
Step-by-step explanation:
just go by 3's 3,6,9,12,15,18,21,24,27,30
What is x+4=10 answer fast
Answer:
x=6
Step-by-step explanation:
10-4=6
Solve: 0.072 = w - 3.6 w = _____
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15
Answer:
A. 14x⁴ - 18x³ + 43x² + 24x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpandingStep-by-step explanation:
Step 1: Define expression
(7x + 5)(2x³ - 4x² + 9x - 3)
Step 2: Expand
Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15A group of 10 peoples bought tickets to a reptile exhibit and paid a total of $130. What was the price of one ticket?
Expand.
a)3(x - 2)
b)2(y + 4)
c)8(3 + x)
Answer:
[tex]a \: 3x - 6 \\ b \: 2y + 8 \\ c \: 8x + 24[/tex]
Step-by-step explanation:
All we have to do is multiply accordingly. I'll use a for an example.
So for the value before the perentheses we multiply that by all of the values in the perentheses.
[tex]3x \: and \: - 6[/tex]
So the correct answer would be
[tex]3x - 6[/tex]
You can use the same strategy for all the questions, but I'll just answer those straight away.
Also you may notice I put the variable before the constant in question c because the variable should always go before the constant in expressions and equations.
Please can someone help me?? I’ll give brainliest to the correct answer!!
Which situation does NOT show causation?
A) When the student population at a school increases, the number of teachers at the school increases
B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving
C) When there are more workers on a project, the project is completed in less time.
D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.
Answer: D
Step-by-step explanation:
You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?
Answer:
10 ft 9 in
Step-by-step explanation:
If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
The total distance according to the given condition is,
= 12 × 10 3/4 inches
= 12 × 43/4
= 129 inches
Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
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?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?
Answer 10$ + 8$+5$= answer that first.
Step-by-step explanation:
In 1 min I walked 90 steps. so the ratio is?
Answer:
The ratio is 1:90
Step-by-step explanation:
Every minute, you walk 90 steps
What percent of the whole number frm 1 to 50 are multiple of 3.
Answer:
32%
Step-by-step explanation:
List of multiples of 3 in 1 to 50:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
Total number: 16
16/50
=32%
PLS GIVE BRAINLIEST
Find the domain and Range
f(x)= 2/7x-2
Answer:
Domain: {x|x∈R}
Range: ,{y|y∈R}
Step-by-step explanation:
The equation of line L is y=5x+1
The equation of line L is 2y-10x+3=0
Show that these two lines are parallel.
Please help, will award brainliest.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
L₁ is y = 5x + 1 ← in slope- intercept form
with slope m = 5
L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - [tex]\frac{3}{2}[/tex] ← in slope- intercept form
with slope m = 5
Since L₁ and L₂ have equal slopes then they are parallel lines
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
how many solutions does 3x+5=7x-20 have?
Answer:
1
Step-by-step explanation:
hey there,
< 3x-7x = -20-5
-4x = -25
x = [tex]\frac{25}{4}[/tex]
This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?
But I would just put 1 if I were you. >
Hope this helped! Feel free to ask anything else.