Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin.
Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer:
We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)
Step-by-step explanation:
If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] = tan⁻¹(y/x).
So, the point (x, y) is rotated counterclockwise by an angle of θ = tan⁻¹ (y/x) to perform both reflections.
Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.
Answer:
Absolute change = 7.4 million
Relative change percentage = 85.1%
Step-by-step explanation:
Given that:
Number of refugees in 2005 = 8.7 million
Number of refugees in 2015 = 16.1 million
The absolute change :
(Number of refugees in 2015 - number of refugees in 2005)
(16.1 million - 8.7 million) = 7.4 million refugees
The relative change in the number of refugees :
((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%
[(16.1 - 8.7) / 8.7] * 100%
(7.4 / 8.7) * 100%
0.8505747 * 100%
= 85.057%
= 85.1%
A store at the beach sells t-shirts for $19.99. If the shirts are 35% off, what is the amount of the discount
Is 3 x 1/2 greater than 5?
I have never really watched anime but I have been thinking to start watching it soooo does anyone have suggestions?
Answer:
yeah watch my hero academy One punch man n Naruto also Dragon Ball Z
Answer:
It’s not really an amine but avatar the last airbender
Step-by-step explanation:
Attack on titan
One punch man
the devils a part-timer
HELP ME PLZZ SOMEONE DONT JUST ANSWER RANOMELLY I REALLY NEED HELP !!!!
Frankenstein is definitely a classic and he can still manage to get a few scares, but the also classic Werewolf has seen better days. The Werewolf is often the target of scares and has an equation perpendicular to Frankenstein's. Frankenstein's equation is`y=x+5` and the Werewolf's equation passes through the point `\left(-1,-2\right).` What is the Werewolf's equation?
Answer:
y = - x - 3Step-by-step explanation:
Given
Equation y = x + 5Perpendicular line that passes through the point (-1, -2)Perpendicular line has negative reciprocal slope, so the slope is -1
The line in slope-intercept form is:
y = -x + bUsing the given point, finding the y-intercept:
-2 = -(-1) + b-2 = 1 + bb = -2 - 1b = -3So the Werewolf's equation is:
y = - x - 3Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
$38.88
$43.20
$47.52
$48.60
38.88 is the correct answer
i have the answer below i got 100%
plz I need help!!! will give brainlyyyyy
Hannah filled her car at the gas station. She
bought 48.3 L, and her bill was $37.43.
What was the price of the gasoline, in cents
per litre ?
Answer:
43.43/43
Step-by-step explanation:
The table shows which equation?
Answer:
C. I think I'm not sure
Step-by-step explanation:
14x - 43 = 71 + 8x look for x show work please
Answer:
x=19
Step-by-step explanation:
14x-43=71+8x problem
14x=114+8x add 43 to both sides
6x=114 subtract 8x from both sides
x=19 divide by 6 to both sides (114/6 =19) x=19
I need the answer can someone please help me!!
Answer:
13.5 units^2
27/2 units^2
Step-by-step explanation:
multiply 27/5 and 5/2
the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2
Find the unit rate. Round to the nearest hundredth, if necessary.
$4.99 for 18 lb
The unit rate is $ ? /lb.
Answer:
4.99 divided by 18
0.277222222
Rounded to $0.28
HELP For each triangle, find x and the measure of each side.
△FGH is an equilateral triangle with FG = x +5, GH = 3x – 9, and FH = 2x –2.
I DID ALGEBRA LAST YEAR HOW AM I SUPPOSED TO REMEMBER THIS AHHH
Answer:
5
Step-by-step explanation:
What is the slope of the line that passes through the points (3,5) and (6, 10)?
A. Y= 573
B. Y= -5/3
C. Y= 3/5
D.Y= -3/5
Answer 5/3
Explanation
Slope formula m = y2 - y1 - Rise
x2 - x1 - Run
10 - 5 = 5
6-3 = 3
I know this is correct. I am not sure why this isn't one of the answers.
6.What is the radius of the circle?
Answer:
Radius is half the diameter of a circle
Step-by-step explanation:
If the diameter was 6, then the radius is 3
A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
A.
$450.75
B.
$300.00
C.
$655.50
D.
$281.25
Answer:
B
Step-by-step explanation:
Can you please answer for me please need questions answer
Answer:
decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3
Step-by-step explanation:
Answer:
4 + 2√3
Step-by-step explanation:
x - 2 = √4x
Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2
(x - 2)² = (√4x)²
x² - 4x + 4 = 4x
x² - 8x + 4 = 0
D = (- 8)² - 4(1)(4) = 48 = (4√3)²
[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641
[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root
43/(-12 + 22
( (2 x 3)2 + (-5 x 2 x 3) + 2
Give your answer in simplest form.
Answer:
I think it is -1
Step-by-step explanation:
Simplify the problem first.
Let's start with the numerator.
FYI, this, ^, means raised to the power of.
4^3 = 64
-12 + 2^2 = -12 +4 which equals -8
64/-8 = -8
Now simplify the denominator.
(2*3)^2 = 6^2 which equals 36.
-5*2*3 = -10*3 which equals -30
Then add the 2 to the end.
36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.
Your fraction now is:
-8/8
Simplify this and you will get -1 as the simplest form.
Please forgive me if this is incorrect.
9514 1404 393
Answer:
-1
Step-by-step explanation:
A suitable calculator can find the value for you.
[tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]
Below are two parallel lines with a third line intersecting them
Answer:
Z is 66. If you want an explanation, I could give it to you, FYI.
Answer:
x=66°
Step-by-step explanation:
Solve for x:
If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:
∠1+∠2=180°
Substitute known values:
[tex]x+114=180[/tex]
Subtract 114 from both sides to isolate x:
[tex]x+114-114=180-114\\\\x=66[/tex]
The value of x is 66°.
:Done
im so confused, can someone explain this to me? i suck at math
Answer:
My guess would be that the slope is -3
Step-by-step explanation:
Based on what I was taught, I would use the formula y2-y1/x2-x1
-7 - 2
---------- = -3
-3 - (-6)
5k-2(3k + 4) = 5x + 4
help?
WHAT IS THE PRODUCT OF 6 NEGATIVE AND 12 POSITIVE
INTEGERS
Answer:
-72
Step-by-step explanation:
-6*+12=-72
because - x + = -
Answer:
-72
Step-by-step explanation:
6×-12
-72 (because a×-a=-a)
Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30
Answer:
Step-by-step explanation:
The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].
What is Matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.
here, we have,
given that,
We are given a matrix,
Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]
and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]
We have to find the resulting matrix after performing given row operations
2R2 +R3 ⇒ R3
Apply
we get,
:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]
and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
Hence, resulting matrix
[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
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determine the slope of the line that passes through the points: f(0)=2 and f(3)=-1
PLEASE HELP ASAP 20 POINTS WILL GIVE BRAINLIEST
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10 m/s wind, how much power does it generate in a 12 m/s
wind?
Answer: P = 0.5 *(12)^3 = 864 kW
Step-by-step explanation:
We calculate the power as follows:
P=C*v^3,
where C = constant and v is the velocity,
lets find the C first, from the given conditions
P = C*v^3
500= C(10)^3
C=500/(10)^3 = 0.5
If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind
What is Power?Power is the amount of energy transferred or converted per unit time.
Given,
The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v
P = kv³
Where k is the proportionality constant.
If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind
first solve the proportionality constant k
500 = k (10³)
k = 500 / 10³= 0.5
so when v = 12 m/s
P = 0.5(12³)
p = 864 kW
Hence 864 kW is the power generated by a 12 m/s wind.
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x-y> -3
2x + y<6
help plsss it’s for a quiz it’s algebra 2
Answer:
Hello!
Step-by-step explanation:
Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!
Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought?
Answer:
434.60
Step-by-step explanation:
Stephanie started selling earrings online at a handmade shop. She makes a profit of $8.50 on each pair of earrings. If she wants to make a profit of no less than $765 this month, how many pairs of earrings does she need to sell? Write and solve an inequality to model this solution.
Answer:
90 pairs
Step-by-step explanation:
We can use clues from the problem in order to set up our inequality.
First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.
That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:
[tex]8.5p\geq 765[/tex]
Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.
[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]
Stephanie needs to sell at least 90 pairs of earrings.
Hope this helps!
What is the result of F (X) = - 3 × -3
Hello There this is your answer
and hope you a GREAT Thanksgiving :)
F ( X ) = 9