Step-by-step explanation:
Given:
Function 'f' with two variables 'x' and 'y'.
To find:
Function rule if the parent function 'f' is rotated by 270° clockwise.
Solution:
A function given with two variables 'x' and 'y',
f(x,y) → (x, y)
If this function is rotated by 270° clockwise, the function rule will become,
f(x, y) → (-y, x)
Therefore, Option A will be the correct option.
Answer:
A) 18.3
Step-by-step explanation:
Since adding b and a gives 19.
c must be less than 19.
So, A) 18.3 is the correct answer
Answer:
$35
Step-by-step explanation:
you have to divide the total money raised by the amount sold
16,625/475=35
each ticket was $35
and to make sure its correct you can always multiply the amount of 1 ticket to the amount sold
475*35=16,625
Answer:The formula for a combination of choosing r unique ways from n possibilities is:
nCr = n!
r!(n - r)!
where n is the number of items and r is the unique arrangements.
Plugging in our numbers of n = 10 and r = 0, we get
10C0 = 10!
0!(10 - 0)!
10C0 = 3,628,800
3,628,800
Answer:
Step-by-step explanation:
Gotta love these motion problems!!! This one is especially tricky! At noon, ship A is 180 km west of ship B. If ship A is traveling east, it is closing its distance to ship B (if ship B didn't move). But ship B is moving north at the same time. We need to find the distance each can travel in 4 hours using the d = rt formula. For ship A. We know it's moving at 35 km/h, so in 4 hours it can move d = 35(4) which is 140 km. Remember that is closing the distance to ship B. So it is 180 - 140 directly south of ship B. This problem will turn out to be a right triangle problem of sorts. The distance of 40 km serves as the base of this right triangle.
With ship B moving north at 25 km/hr, it can travel d = 25(4) which is 100 km. This serves as the height of the triangle. We are asked to find the rate at which the distance is changing 4 hours from their starting points. We know how far each can travel in those 4 hours, so in order to find the rate of change (which is the same thing as the slope!), we take the height and divide it by the base because that is the same thing as taking the rise over the run. 100/40 is 10/4 which is a rate of change of 2.5 km/hr
