Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Answer:
y = -5/2x - 4
Step-by-step explanation:
(0,-4) and (-4,6)
Slope:
m=(y2-y1)/(x2-x1)
m=(6+4)/(-4-0)
m=10/-4
m= -5/2
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = -5/2(x - 0)
y + 4 = -5/2x
y = -5/2x - 4
Answer:
the anser would be 11
Step-by-step explanation:
The steepest line possible is a vertical line. Its slope is bigger than any
possible number you can think of, because it can change its height by
any amount in zero time. Its slope is 'undefined', meaning that there's
no number that can describe it. Some people would say it's 'infinity',
but that's not a number.
