I am struggling with transformations,rotation on a cartesian plane,how do we do it?
Answers
Greetings from Brasil...
Translations
Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.
P(X; Y) → P'(X ± m; Y ± n)If the figure has 3 points (A, B and C), we would be left with:
A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)
A(X, Y) → A'(X ± m; Y ± n)
B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)
C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)
in our example - see attached figure - let
m = 4
n = - 1
(these values of m=4 and n=-1 were chosen by me arbitrarily)
A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)
B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)
--------------------------------------------------------------------------
Rotations
The expression (formula) for rotation will be:
P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)
Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then
P(X; Y) → P'(-Y; X)in our example - see attached figure
A(1; 2) → A''(-2; 1)
B(2; 3) → B''(-3; 2)
______________________________
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Related Questions
Happy holidays Plz help
Answers
Answer:
so the first one is B
and the second one is C
Step-by-step explanation:
Happy holidays to you too girl!
i need some help... Algebra Hw
Answers
Answer:can't see no 1
Step-by-step explanation:
2=A
3=c
Write the explicit formula that defines the sequence ,,,, write the explicit formula that defines the sequence f1=-2,f2=1,f3=4,f4=7,f5=10
Answers
The explicit formula for the given arithmetic sequence is a(n) = 3n - 1
The given sequence is:
f(1) = -2
f(2) = 1
f(3) = 4
f(4) = 7
f(5) = 10
Notice that this is an arithmetic sequence. The common difference is:
d = a(n) - a(n-1)
= a(2) - a(1) = 1 - (-2) = 3
The general formula for the nth term of an arithmetic sequence is:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 2 and d = 3:
a(n) = 2 + (n - 1) . 3
a(n) = 3n - 1
This is the explicit formula for the nth term.
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A line passes through the point (4,9) and has a slope of -3/2
What is the y-intercept?
Answers
The y-intercept is positive 15
A conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing to determine how to arrange the room. The scale indicates that 12 inch in the drawing represents 12 feet in the actual room. The scale drawing that the organizers are using is shown. The dotted line represents a folding wall. What is the actual length of the folding wall?
Answers
Full question:
A conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing for how to arrange the room. The scale indicates that 12 inch on the drawing corresponds to 12 feet in the actual room. In the scale drawing, the length of the room is 313 inches. What is the actual length of the room?
Answer:
313 feet
Step-by-step explanation:
If 12 inches represents 12 feet
Then one inch represents one feet
And so if length of the room in the drawing is 313 inches then the true length of the room = 313 feet
Write the translated function ƒ (x) = |x|so that the vertex is at (−5, −3).
Answers
Sarah bought a binder for $7.25 and 6 folders that totaled $9.05. How much did each folder cost?
Step by Step Directions
Please
Answers
Answer: If Sarah's total was $9.05 and the binder costs 7.25 then in order to find the price of the folders you must subtract the cost of the binder (7.25) from the total (9.05) which leaves $1.80 as the amount she paid in total for 6 folders.
Step-by-step explanation:
point Q' is the image of Q (4,-6) is under a translation by 1 unit to the right.
what are the coordinates of Q'?
Answers
Answer:
The coordinates of point Q' would be (5, -6) after being translated 1 unit to the right.
Step-by-step explanation:
Yolanda takes out a loan for her college tuition from a bank that charges simple interest at an annual rate of 8.95%. Her loan is for $2900 for 11 months. Assume each month is 1/2 of a year. Answer each part below.
Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of Onancial formulas.
Answers
If the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.
Given that the rate of interest is 8.95%, loan amount is $2900 and the number of months is 11 and we have to assume each month be 1/12 of a year.
We are required to find the amount to be charged after 11 months.
Simple interest is basically calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Loan amount=$2900
Interest rate=8.95%
Months=11
Interest of 11 months=(2900*8.95*11/1200)
=$237.92
Total amount=$2900+237.92
=$3137.92
Hence if the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.
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One line in the question is wrong. The correct line that we have to assume each month be 1/12 of a year.
HELPPP PLEASE ILL PICK BRAINLEST!!! THANK YOUU
Answers
Answer:
56 or a
Step-by-step explanation:
hope u get it right
What is the equation of the quadratic function represented by this table?
x 5 6 7 8 9 10
f(x) -4 5 8 5 -4 -19
Type the correct answer in each box. Use numerals instead of words. f(x) = (x − )2 +
Answers
Answer: f(x) = -3(x-7)^2+8
Step-by-step explanation:
-3, 7, 8
f(x)= -3
(x- 7)^2+
8
So the answer is -3, 7, 8
Step-by-step explanation: Got it right on Edmentum
Solve for linear equation by substitution
x + 4y = 6
y=-x+3
Answers
Answer: y=1 and x=2
Step-by-step explanation:
Substitute the y value in the first equation with the given equation for y. Now that all the terms are the same, you can solve for X by combining like terms.
ie: x+4(-x+3)=6
then
ie: x-4x+12=6
then
ie: -3x=-6
then divide -3 from each side and you'll end with x=2.
Now plug in your x value for the y equation.
ie: y=-2+3
And solve.
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)
a = x₁ + x₂ / 2
b = y₁ + y₂ / 2
Given that the midpoint of AB is (4, -3).
i.e. (a, b) = (4, -3)
Given that A has coordinate (1, 5).
i.e. (x₁, y₁) = (1, 5)
We have to determine the coordinates of B.
i.e. (x₂, y₂) = B
Thus,
4 = (1 + x₂)/2
(1 + x₂) = 4 × 2
1 + x₂ = 8
x₂ = 7
and
-3 = (5 + y₂)/2
(5 + y₂) = -3 × 2
5 + y₂ = -6
y₂ = -11
so (x₂, y₂) = (7, -3) = B
Thus, the coordinates of B = (x₂, y₂) = (7, -3)
Therefore,
x₂ + y₂ = 7 + (-3)
= 7 - 3
= 4
Hence, the value of x₂ + y₂ = 4
Please help its almost due!!
Answers
Answer:
you have multiply 11 and 120
3.5w + 4.2w + 1.5 + 9.6w - 8.8w
Answers
Answer:
8.5w + 1.5
Step-by-step explanation:
Combine like terms: 3.5w + 4.2w + 9.6w - 8.8w = 8.5wRe-write expression: 8.5w + 1.5I hope this helps!
Answer:5-(17w+3)
—————————-
10
Step-by-step explanation: 1): "8.8" was replaced by "(88/10)". 5 more similar replacement(s)
STEP
1
:
44
Simplify ——
5
Equation at the end of step
1
:
35 42 15 96 44
((((——•w)+(——•w))+——)+(——•w))-(——•w)
10 10 10 10 5
STEP
2
:
48
Simplify ——
5
Equation at the end of step
2
:
35 42 15 48 44w
((((——•w)+(——•w))+——)+(——•w))-———
10 10 10 5 5
STEP
3
:
3
Simplify —
2
Write the equation that describes the line with slope = 1 and y-intercept= 5/2 in slope-intercept form.
Answers
Answer: y=x+5/2
Step-by-step explanation:
using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.
Which linear equation represents the data given in the table.
A)y = 9x + 5
B)y = 5x + 9
C)y - 9x - 5
D)y = 5x - 9
Answers
Answer:
B
Step-by-step explanation:
The answer is B, because if X is 1 and you multiply x by 5 you get 5. But after multiplying that you have to add 9. 9+5=14 so therefore the answer is B.
what is i^75 i need this so help me
Answers
Answer:
i^75 = - i
Step-by-step explanation:
Hope you got it
True or false. A 5% shipping charge will add to the
total cost of an item that is sent to you.
Answers
Answer:
true
Step-by-step explanation:
they will charge you 5% more to your bill for shipping. This will be added on to you total cost.:)
if an = 2n - 3, then what is the fifth term of the sequence?
Answers
Answer:
7
Step-by-step explanation:
To find the fifth term in the sequence, plug in 5 for n.
a₅=2(5)-3
Then just solve
a₅=10-3
a₅=7
Answer plz I don’t get this
Answers
I think slope is 50
Step-by-step explanation:
(2,100) means in 2 hours she read 100 pages
I will give a brainlist if you help me with this! :))
Answers
Answer:
The length of [tex]\overline{AD}[/tex] is 20 inches
Step-by-step explanation:
The given parameters are;
Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC
[tex]\overline{AC}[/tex] = 30 inches
[tex]\overline{BA}[/tex] = 18 inches
[tex]\overline{ED}[/tex] = 6 inches
By similar triangles formula, we have;
[tex]\overline{BA}[/tex]/[tex]\overline{ED}[/tex] = [tex]\overline{AC}[/tex]/[tex]\overline{DC}[/tex]
Substituting the known values gives;
18/6 = 30/[tex]\overline{DC}[/tex]
Therefore, [tex]\overline{DC}[/tex] = 30/(18/6) = 30/18 × 6 = 10
[tex]\overline{DC}[/tex] = 10
[tex]\overline{AD}[/tex] = [tex]\overline{AC}[/tex] - [tex]\overline{DC}[/tex] = 30 - 10 = 20
[tex]\overline{AD}[/tex] = 20 inches.
every 2 weeks i get paid starting september 23 when is my next pay day
Answers
Answer: October 7
Step-by-step explanation:
if your are flying in a plane going 500km/h, how far (in km) will you go in 2 hours and 15 minutes
Answers
Answer:
1,125
Step-by-step explanation:
500 x 2 1/4 is 1,125
Answer: 1125 km.
Step-by-step explanation: In 2 hours, you will travel 1,000 km. 15 is 1/4 of 60, so multiply 1/4 and 500 and add that product to 1,000. Therefore, the answer is 1125 km.
What is the value of 24 - (-6 - (5 + 8))?
Answers
Answer:
43
Step-by-step explanation:
Simply follow PEMDAS.
24 - (-6 - (5 + 8))
24 - (-6 - 13)
24 - (-19)
24 + 19
= 43
Which is the solution to the equation below? 8x=56
Answers
Answer:
7
Step-by-step explanation:
8x=56
x=56/8
x=7
i need help will mark brainliest !ASAP!
Answers
Answer:
Row 2 = One (Smaller unit)
Row 3 = 1,000 (How many times as large as)
Row 4 = Kilogram (Larger unit)
Row 5 = Thousand (Larger Unit)
Row 6 = Micrometer (Larger Unit)
Row 7 = 100,000 (How many times as large as)
What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.
Answers
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
Step-by-step explanation:
it is 240 miles from boston to new york. If i drive at a speed of 50mph, how long will it take me to reach new york? how much more time would it take if my speed is 10mph faster?
Answers
Answer:
It would take you 4.8 hours to reach to New York and it would take you 4 hours if your speed was 10 mph faster.
Step-by-step explanation:
240÷50=4.8
240÷(50+10)=x
240÷60=4
Answer:
4.8
Step-by-step explanation:
Tanvi is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 36 stuffed cats and 32 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Tanvi can place her stuffed animals into?
Answers
Answer:
4 number of groups each with 9 number of stuffed cats and 8 stuffed dogs.
Step-by-step explanation:
Given that:
Number of stuffed cats = 36
Number of stuffed dogs = 32
These are to divided in identical groups such that no stuffed animal is left over.
We have to find the largest number of groups so that Tanvi can place her stuffed animals into.
To find the largest number of such groups, we need to find the HCF (Highest Common Factor).
Let us factorize the two numbers i.e. 36 and 32. Then we will underline the common factors between the two numbers.
[tex]36 = \underline{2\times 2} \times 3\times 3\\32 = \underline{2\times 2} \times 2\times 2\times 2[/tex]
Therefore, HCF is [tex]2\times 2 = 4[/tex]
Therefore, there can be 4 number of groups at the most so that no stuffed animals is left over.
Each group will have [tex]\frac{36}4[/tex] = 9 number of stuffed cats and
[tex]\frac{32}{4}[/tex] = 8 number of stuffed dogs.