Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
The temperature change from 6am to noon is 11°c
Answer:
*assuming you know the concept of proportionality*
since L is directly proportional to T, an increase in L will result in an increase in T
so the solution of the first part is increases
in part 2, y is inversely proportional to x
which means that an increase in y will result in a decrease in x and vice-versa
So the answer of the second part is decreases
in part 3, since x is directly proportional to y, an increase in x will result in an increase in y
Let us try A
If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points
Now moving onto B
If x = -3, then y =-81-27+36-3-1=76
If x= -1 , then y=-1-1+4-1-1=0
If x =0, then y=-0-0+0-0-1=-1
If x =1, then y= -1+1+4+1-1=4
Thus it is also not the polynomial with given point.
Now onto c
x= -3 , y=81+27-36+3+1=76
x=0, y = 0+0+0+0+1=1
x= -1 , y = 1+1-4+1+1=0
x=1 , y= 1-1-4-1+1=-4
x=2, y=16-8-16-2+1=-9
Hence C is the polynomial of given points
It would be 2.9 because if the number to the right of the number your rounding is 5 or higher you round up to the next number. If the number is 4 or lower you round down to a 0.