Answer:
B. $ 320
Step-by-step explanation:
[8(3) + 4(2)]10
(24 + 8)10
320
An undefined slope is NOT the same as y= 0, since it is a vertical line. The x-coordinate never changes even if the y-coordinate is different. There is no run.
Answer:
- (2^9)
Step-by-step explanation:
-(2^6)(2^3)
We know a^b * a^c = a^( b+c)
- ( 2 ^ (6+3))
- (2^9)
He graded 60/75 papers.
If you divide these numbers instead of trying to simplify it equals the decimal 0.8.
If you move the decimal point two places to the right it's 80%.
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
