PLZZZ HELP ITS DUE VERY SOON!
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answers
Answer:
Step-by-step explanation:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
Related Questions
Simplify the expression by combining like terms. 7w+9+6X
A. 22wx
B. 13wx+9
C. 7w+6x+9
D. 1w+9
Answers
Answer:
Step-by-step explanation:
the answer stay the same due to the fact there are no like terms
7w+9+6x
What is the value of c?
Answers
I WILL MARK BRAINLIEST!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
hope it helps thank you
25% of ___ is 7 ??????
Answers
Answer:28
Step-by-step explanation:
This is a missing whole problem so you must divide 7 by 25/100
Or multiply it by it's reciprocal 100/25 or 4/1 x 7 = 28
77 is 56% of what number Show your work for brainliest
Answers
4.25 • (–1.25) positive or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Positive times a negative will always be negative
can solve real world problems involving embedded triangles:
The value of x is
please I need this answer quick.
Answers
Answer:
It is 15 x=15
Step-by-step explanation:
Determine the equation of the line perpendicular to the line 4x+2y-7=0 that has the same x-intercept as the line 2x+3y-12=0
Answers
To find the slope, we find the perpendicular slope to 4x+2y-7=0. First, change this to slope-intercept form:
4x+2y=7
2y=7-4x
y=-2x+(7/2)
The slope of this line is -2, so the perpendicular slope will be the opposite inverse, or 1/2. This is the first component.
Second, to find the x-intercept of 2x+3y-12=0, we have to set y=0 and solve:
2x+3(0)=12
2x=12
x=6 or (6,0)
So in total, we need a line with a slope of 1/2 passing through (6,0). Plug this back into y=mx+b:
0=1/2(6)+b
0=3+b
b=-3
So in total, the equation is y=(1/2)x-3.
giving brainliest to whoever can solve correctly
Answers
Answer:
The answer is 9
Step-by-step explanation:
4/9 = 9/4
I need to know the answer step by step.
Answers
Answer:
108
Step-by-step explanation:
Since B=3, you need to do 4(3)^2*3
Do 3^2, which is 9,
4*9=36,
36*3=108
17+ x/6 what is the answer
Answers
Answer:
x=-11
Step-by-step explanation:
17+x/6=0
17+x=6
x=-11
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the rate of change for this function?
Answers
Answer:
I think that it is y=15x+35
Step-by-step explanation:
15*x is how many hours and you have to pay $35 regardless to rent the boat
what is "18 less than the quotient of a number and -5 is at most -2" translated
Answers
Answer:
[tex]x\le -80[/tex]
Step-by-step explanation:
The given statement is "18 less than the quotient of a number and -5 is at most -2",
Let the number be x.
At most means, a ≤ b
So,
[tex]\dfrac{x}{-5}-18\le-2[/tex]
Adding 18 to both sides.
[tex]\dfrac{x}{-5}-18+18\le-2+18\\\\\dfrac{x}{-5}\le16[/tex]
Multiply both sides by -5
[tex]\dfrac{x}{-5}\times -5\le 16\times -5\\\\x\le -80[/tex]
So, the solution of the given statement is x is less than equal to -80.
Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
Answers
If line segment AB represents 50%, what is the length of a line segment that is 100%?
Answers
expand this bracket (x + 3/2)^2
Answers
X^2 + 9/4 is your answer
Hope this helps you
PLS HELP HUMAN I LOVE YALL HELP
Answers
Plz mark me as Brainly
What are the variables in the expression 2w + 11t + 4y
Answers
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
Answers
The Answer Is:
B (0.21)
tan30° + Cos30°/ tan30° . cos30°
Answers
Answer:
tan30° + Cos30°/ tan30° . cos30°
1/√3+√3/2/(1/√3)×√3/2
1/√3+3√3/4
Which statement shows correct reasoning for finding 12+3/8? A Multiply 12 by 8, then divide by 3. B. Multiply 12 by 3, then divide by 8. C. Multiply 3 by 8, then divide by 12 D. Multiply 12 by 1/8, then multiply by 3.
Answers
Answer:
B
Step-by-step explanation:
plz mark the brainliest. if that is adding not multiplying, you will do 3 divide by 8 first and then add 12. I think its a typo and it is multiply so if it is multiply, it is B. plz mark the brainliest
the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph
Answers
Answer:
The linear equation is Y=5x+8 where x>0
(you can input this into the Desmos graphing calculator to see the graph if you like!)
Step-by-step explanation:
To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!
Type the missing numbers in this sequence:
31, , , 58, 67, 76
Answers
Find the following in the figure
Answers
what is (4x - 4) + (2x + 2)? (no direct answer.)
Answers
Answer:
6x -2
Step-by-step explanation:
(4x - 4) + (2x + 2)
4x + 2x = 6x
-4 + 2 = 2
6x - 2
The cost of 5 pounds of bananas is $3.25. What is the constant of proportionality that relates the cost in dollars, y, to the numbers of pounds of bananas, x?
Answers
Answer:
X = Cost of the bananas
Step-by-step explanation:
While y represents the weight (in pounds) of the bananas, x represents the cost of the bananas proportional to the weight.
Answer:
0.65
Step-by-step explanation:
Simplify this for me please. No improper answer.
People keep telling it's easy peasy lemon squeezy but me here sitting stressy depressy lemon zesty.
Answers
Answer:
Look at the picture below
Step-by-step explanation:
Answer: Stressy lessty lemon zessty ask for a tutor he/she can help you
4. THE LOV TEMPERATURES FOR A VEEK IN EDMONTON, ALBERTA ARE -15°C, -1200
-10°C, -12°C, -18°C, -20°C, AND_-25°C. WHAT IS THE MEAN LOV
TEMPERATURE FOR THE WEEK? SHOW YOUR WORK
Answers
Answer:
-16°C
Step-by-step explanation:
The lov temperatures for a week are :
-15°C, -12 , -10°C, -12°C, -18°C, -20°C, and -25°C.
We need to find the mean love temperature for the week.
Total no. of observations = 7
Mean = sum of observations/total no of observations
[tex]M=-\dfrac{15+12+10+12+18+20+25}{7}\\\\M=-16^{\circ} C[/tex]
So, the mean temperature is -16°C.
GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse
Answers
Answer:
A. Drought, this is when the land is dry and no water is around essentially.
Answer:
The answer is drought. I took the test.
Divide the polynomials.
Your answer should be a polynomial.
22
49
x +7
Answers
Answer:
x - 7
Step-by-step explanation:
Given
[tex]\frac{x^2-49}{x+7}[/tex]
x² - 49 is a difference of squares and factors as (x - 7)(x + 7)
= [tex]\frac{(x-7)(x+7)}{x+7}[/tex] ← cancel x + 7 on the numerator/ denominator
= x - 7
Answer:
Formula used: a²-b²=(a-b)(a+b)
[tex] ★\:\:\frac{( {x}^{2} - 49) }{(x + 7)} = \frac{ ({x}^{2} - {7}^{2} ) }{(x + 7)} = \frac{(x - 7)(x + 7)}{(x + 7)} =\boxed{ (x - 7)}[/tex]
(x-7) is the right answer.