Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
Any transformation that multiplies a variable by something other than ±1 is not a rigid transformation — it involves some sort of dilation. Constants can be added or subtracted to effect translation, but none of the transformations shown here do any translation.
The first transformation is a reflection across the y-axis, hence the rigid transformation you're looking for.
_____
Comment on rotations
A rotation about the origin can be written in the form ...
(x, y) ⇒ (ax -by, bx +ay)
where a^2 +b^2 = 1 and b/a = tan(angle of rotation)
This rigid transformation is an exception to the statement above about multiplication by something other than ±1.
Answer:
Step-by-step explanation:
Let x represent the number of hours that he works. babysitting his neighbors children.
Let y represent the number of hours that he works at the other job.
He earns $10 per hour babysitting his neighbors children. This means that the amount that he earns, babysitting his neighbors children for x hours would be
10x
He earns $12 per hour working at the other job. This means that the amount that he earns, working at the other job for y hours would be
12y
Therefore, the inequality that represent the number of hours that he needs to work at both jobs to earn a minimum of $120 is
10x + 12y ≥ 120
Answer:
Liam can make 4 cards
Step-by-step explanation:
A common factor between 16 and 12 is 4
To make the most identical amounts of cards, each card should get 4 sheets and 3 envelops.
The total amount of cards Liam can make is 4.
We'll call area of entire circle 100%.
The 100 degree angle is (100 / 360) of the circle.
100 / 360 = 5 / 18
Rate=amountdone/time
convert everybody to minutes
1 hour=60 minutes
45 mins=45 mins
1.5 hour=1.5 times 60=90mins
1hour and 10mins=60+10=70mins
laurenrate= 270packets/45mins=6ppm (packets per minute)
hannahrate=450packets/90mins=5ppm
jakobrate=280packets/70mins4ppm
whoever worked the fastest, has the highest ppm
lauren is winner
answer is A. lauren