Answer:
Step-by-step explanation:
2)Cos²x - Sin² x = √2/2
Cos²x - Sin² x = Cos 2x
⇒ Cos 2x = √2/2
General solution for Cos 2x = √2/2 is
Option A
An integer is a whole number.
1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.
2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."
3) the integer representing how many floors he will rise is 7.
4) the elevator will stop at 11.
Hope this helps! :)
54.16 is more precise because it has more digits
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Set up two equations: one for the amount of money collected, and one for the number of tickets sold (people who attended).
Let a= adults
Let s= students
Money equation:
Ticket equation:
Now just solve the system of equations for s:
420 Students attended