Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x,y) → (-x,y); (x,y) → (0.6x, 0.6y);(x, y) = (x - 5, y + 5)
Reflection over the (y-axis/x-axis/origin); (movement upwards/translation/transformation/dilation) with a scale factor of 0.6; translation 5 unit left and ____ units up.
Answers
Answer:
Reflection over the y-axis; dilation with a scale factor of 0.6; translation 5 unit left and 5 units up.Step-by-step explanation:
The results of the given transformations are ...
(x,y) → (-x,y); reflection over the y-axis(x,y) → (0.6x, 0.6y); dilation by a factor of 0.6(x, y) → (x - 5, y + 5); translation left 5 and up 5_____
Additional comment
Changing the sign of the x-coordinate moves a point horizontally to the other side of the y-axis, reflecting it over the y-axis.
Multiplying coordinate values by the same factor effects a dilation about the origin by that factor.
Adding to the x-coordinate moves the point to the right; adding to the y-coordinate moves the point up. (Subtracting from x moves the point left.)
Related Questions
Students are making the scenery for a school play. They use a large piece of plywood
to represent the front of a house, with a semicircular window cut out. Now they need
to paint the plywood. Find the area that will be painted.
1. List the shapes that make up the front of the house. (2 points)
2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area for f each shape. Use 3.14 for n (4 points)
4. What is the total area to be painted? (2 points)
Please help me find the answers and shiw your work step by srep for eac question to get to the answer please and ill guve brainlist and some points please answer quickly!!!
Answers
Answer:
57.72 in^2
Step-by-step explanation:
Question 1. Shapes are triangle, semi-circle, and rectangle.
Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.
Question 3.
Rectangle's area:48 in^2
Triangles area:8*4/2= 16 in^2
Circle Area: pi*r^2/2(since its a semi-circle)
3.14*2^2=3.14*4=12.56/2=6.28 in^2
Question 4.
16-6.28=9.72
9.72+48=57.72 in^2
For the same data, two differ models are graphed. Which model more closely matches the data?
Answers
Answer: A.
I would say that it would have to be A. because it seems like B has all of the dots a little higher than the line while on A they seem closer packed into the line.
Step-by-step explanation:
please help quickly!! will give branliest
Answers
Answer:
10
Step-by-step explanation:
hope this helped have a nice day
Explain how to describe the data on a histogram.
Answers
Answer:
visual interpretation. of numerical data
Step-by-step explanation:
A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.
what is the measure of
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Answer: B
Step-by-step explanation:
Determine the values of the requested variables
Answers
Answer:
y = 24
angle V = 67
as a 4 sided shape, the angles all have to add up to 360 degrees.
we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.
Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.
(x+95) = 120
-95 -95
x = 25
We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!
360 - 53 -120 - 120 = 67
Angle V is 67
Now to find y!
(2y+19)=67
-19 -19
2y = 48
/2 /2
y = 24
find all the zeros of the equation y=x^4+3x^3+x^2-12x-20
Answers
Answer:
x = 2, -2
explanation:
[tex]\sf y=x^4+3x^3+x^2-12x-20[/tex]
Find a factor for this equation:
-5 < x < 5
-------------
f(-3) = 25
f(-2) = 0
f(-1) = -9
f(0) = -20
f(1) = -27
f(2) = 0
f(3) = 115
Hence found that ( x -2) and ( x + 2) are the factor of the following equation.
Divide both by the following equation:
[tex]\sf \rightarrow \dfrac{x^4+3x^3+x^2-12x-20}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow \dfrac{\left(x-2\right)\left(x+2\right)\left(x^2+3x+5\right)}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow x^2+3x+5[/tex]
Using quadratic formula: [tex]\sf x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\sf \hookrightarrow x_{1,\:2}=\dfrac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow x=-\dfrac{3}{2}+i\dfrac{\sqrt{11}}{2},\:x=-\dfrac{3}{2}-i\dfrac{\sqrt{11}}{2}[/tex]
Thus the zero's of the function are:
x = 2, -2
Answer:
[tex]x=2, x=-2[/tex]; [tex]\frac{-3\pm i\sqrt{11}}{2} \in \mathbb{C}[/tex]
Step-by-step explanation:
Zeroes are found by setting the RHS = 0.
Since the quantity [tex]x^4+3x^3+x^2-12x-20[/tex] is a 4th degree polynomial there isn't a formula that gives us the solution, so we're stuck having to divide: to do so we make THE LIST: you list the divisors of the constant term without its sign (20: 1,2,4,5,10,20), the divisor of the lead coefficient (1), and you divide the first by the second in any possible way, adding a plus or minus:
[tex]\pm1, \pm2, \pm4, \pm5,\pm10,\pm20[/tex]. At this point you just have to check, replacing each one in the equation until you find two values that work (why two? You need to lower the degree of the polynomial by two, if you found only one you'd be stuck with a third degree equation which doesn't have an "easy" solving formula).
After some adding and multiplying you find that both 2 and -2 make the expression to zero. At this point you have two options
First is to divide the given expression by[tex](x-2)(x-2)=(x^2-4)[/tex] or, as I did in the image, notice that you will end up with a 2nd degree polynomial, whose coefficient you find by multiplying and confronting with the original equation.
Either way, you will end up with
[tex](x+2)(x-2)(x^2+3x+5)=0[/tex]
First two factors will give [tex]x=-2; x=2[/tex] respectively, while the third term has no real solutions (it still offers a pair of solutions in [tex]\mathbb{C}[/tex] which I'll add for the sake of completeness, but you're most likely required to look for real solutions only).
Barry and his sister went to lunch at Applebee's. The total bill was $21.60 and they left a $3.40 tip. Approximately what percent of the total bill did they leave as a tip?
Answers
Answer:
25.20
Step-by-step explanation:
Answer:
The answer is 0.7344
I'm not sure tho
Somebody please help me with this please
Answers
Answer:
x = 52.2
Step-by-step explanation:
we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).
Set up like so:
tan 43 = x/56
x = 52.2208
x = 52.2
Ira can use the greatest common factor to rewrite 75+30 as
(5+
).
Answers
Answer:
Step-by-step explanation:
15(5+2) is the Answer
The greatest common factor to rewrite 75+30 as 15(5+2)
What is GCD?Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
An expression is a combination of numbers, variables and operators.
The given expression is 75+30.
By using distributive law we can find this.
Let us find factors of 75 and 30.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 30 are 1, 3, 5, 9, 15, 45
Their GCF is 15.
To get 75, we will multiply 15 by 5.
To get 30, we will multiply 15 by 2.
By using distributive property
75+30 can be splitted to factors as
15(5+2)
Hence the greatest common factor to rewrite 75+30 as 15(5+2)
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Laura goes to a bank and opens a new account . She deposits $5,500. • The bank pays 1.6% interest compounded annually on this account • Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? O A.$5,852.00
B. $5,860.53
C.$5,940.00
D.$5,954.31 $
Answers
Answer:
B
Step-by-step explanation:
formula= principal (1+(rate÷100))^number of years
5500(1+(1.6÷100))^4
5500 (1+0.016)^4
5500(1.016)^4
5500 (1.06555245)
5,860.53
$5,860.53
Complete the ratio table
Answers
Answer:
110
Step-by-step explanation:
101-86=15
95+15=110
110-15=95
Answer:
110
Step-by-step explanation:
In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.
Please help people!!! :D
Answers
Answer:
The answer is C
Step-by-step explanation:
Since the line above the letters is an arrow that means the two points have to create a line like that. Therefore, the answer is DB.
Answer:
DB
Step-by-step explanation:
Why others rejected?
E C
E and C are in cent res or at midpoint near area s .The correct name should be A FE B is rejected as points are not on one line
The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-The sum of 3 consecutive even number is 144The lowest even number as 4x - 2 To Find :-We have to find the highest consecutive number. Let's Begin :-Here ,we have
The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2Let the three consecutive number be
(4x - 2) , 4x , ( 4x + 2)
According to the question,
[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]
[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]
[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]
[tex]\sf{ x = 12 }[/tex]
Thus, The value of x is 12
Therefore,
The three consecutive even numbers are
[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]Hence, The highest consecutive even number is 50 .
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with their respective prices in 1983 and today. Item Price in 1983 ($) Current Price ($) Shower curtain 8. 85 15. 66 Floor rug 71. 25 119. 75 T-shirt 13. 95 23. 99 Oscillating fan 22. 75 37. 50 Using the prices shown on this chart, which of the following is a reasonable estimate of the current CPI? a. 164 b. 170 c. 185 d. 199.
Answers
The reasonable estimate of the current customer price index is 195. The option B is the correct option.
Customer price indexCustomer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100[/tex]
Here [tex]\rm C_t[/tex] is the cost of market basket in current period and [tex]\rm C_0[/tex] is the cost of market basket in the base period.
Cost of market basket in current period is
[tex]\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9[/tex]
Cost of market basket in 1983 is,
[tex]\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8[/tex]
Substitute all the values in the formula
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx[/tex]
Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
Learn more about the customer price index here;
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A student has an average score of 90 on four tests. If the student scored 88, 96 and 92 on the first three tests. What was the students score on the fourth tests
Answers
Answer:
84
Step-by-step explanation:
(92 + 96 + 88 + x) ÷ 4 = 90
92 + 96 + 88 + x/4 = 90
276 + x/4 = 90
(276 + x) × 4/4 = 90 × 4
276 + x = 360
x = 360 - 276
x = 84
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)
Answers
Jon Deposits $7,050 into an account paying 5% annual interest compounded quarterly and Sara deposits $4,867 into an account paying 10% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answers
The person that would have more money at the end of the year is Sara.
Who would have more money?The formula that would be used to determine the future value of an amount is:
FV = P (1 + r/m)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsJon = $7050 x (1 + 0.05/4)^4 = $7409.16
Sara = $4867 x (1 + 0.1 / 365)^365 = $5378.79
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5. Find the area.
What do I do
Answers
Answer:
508.68cm^2
Step-by-step explanation:
this is a semicircle, so first get the whole circle by s=
[tex]\pi \: r {}^{2} [/tex]
so it said you should plug in 3.14 for pi,
3.14×18^2=1017.36
and semicircle should be the half of it, which is 508.68 cm^2
Answer:
127.17 cm²
Step-by-step explanation:
The area of a circle of radius r is given the the formula below.
A = πr²
Since you have a semicircle, divide the area of a circle by 2.
A[semicircle] = πr²/2
A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²
Answer: 127.17 cm²
You are correct. Remember to include the units. In this case, it is cm².
The outside service area of a cereal box and printed with texts and pictures what is the surface area in square inches of a box that is 2 inches wide 7 inches long and 10 inches tall
Answers
what is the difference between 35.032 and 20.1
Answers
Answer:
35 is different from 20
Step-by-step explanation:
too easy for explanation
Answer:
The difference is 14.932
Step-by-step explanation:
In other words, it's asking you to subtract 20.1 from 35.032.
Hope that helps!
An antique vase is worth £300 when I buy it, its value increases by 2% each year. How much will it be worth in 8 years time?
Answers
Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).
Answers
Factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]
The given expression is:
[tex]6x^2-11x-10[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
we can split the middle term as,
[tex]6x^2-15x +4x-10\\[/tex]
[tex]3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)[/tex]
Therefore factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]
To get more about factors visit:
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Please help me Asap thanks if you do!
Answers
Answer:
(A) 9
Step-by-step explanation:
Substitute 2 for X
[tex]7-(-2)=9[/tex]
combine like terms 4(p+3)-8
Answers
man i don't know
Step-by-step explanation:
i hope it's like 20 ? i guess it's 20
Answer:
4(p+1)
Step-by-step explanation:
find the value of x If necessary, you may learn what the markings on a figure indicate.
Answers
Answer:
x=36°
Step-by-step explanation:
Find the answer with the theorems related to isosceles triangle and the exterior angle theorem
please help me with that question
Answers
Answer:
Step-by-step explanation:
at the end of; Karabo John
1st hour 80km 0km(bcause he hasn't started)
2nd hour 160 km 100km
3rd hour 240 km 200km
4th hour 300 km 300km
now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)
so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)
Resolva a expressão: 6÷3+2•7
Answers
Step-by-step explanation:
What is the molar mass of an element?
the total number of particles in one gram of the element
the mass of 6.02 x 1023 representative particles of the element
the number of amus (atomic mass units) in 6.02 x 1023 moles of the element
1.0 gram divided by the atomic weight of the element
because 6 •|• 3 is 2 and 2•7 is 14 then add them together. 2+14=16
please help, this is due tomorrow
True or false. justify your answer.
if horse A is twice as far as horse B from the center of a merry-go-round, then horse A travels twice as fast as horse B
Answers
Answer:
TrueStep-by-step explanation:
Horse A travels twice the distance horse B travels.
It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.
Since r₁ = 2r₂, the distance is:
C₁ = 2πr₁ = 4πr₂C₂ = 2πr₂The time of travel is same so the difference is reflected in the speed.
The horse A has twice the speed of horse B.
Which table represents the function y = 3x – 1?
Answers
Answer:
The fourth table
Step-by-step explanation:
3(0)-1=-1
3(1)-1=2
3(2)-1=5
Hope this helps :)