Answer:
x = 0, π/3, π, 5π/3
Step-by-step explanation:
sec(x)sin(x) - 2sin(x) = 0
factor out sin(x)
sin(x)[sec(x) - 2] = 0
then solve by splitting into two parts:
sin(x) = 0 and sec(x) - 2 = 0
x = 0, π and x = π/3, 5π/3 then plug in to original equation to check
There can be an infinite amount of these
g(x) = 2/x ^ 2
f(x) = x + 9
but you can recheck this by substituting the g(x) back into the f(x)
Answer:
yes, the ordered pair is a solution for this equation
Step-by-step explanation:
y= -x-2
plug in 1 for x and -3 for y
-3= -1-2
-3= -3
Africa is where we found the oldest evidence of human remains
Answer:
Step-by-step explanation:
Doing this the long way, write a^12 as a product of "a"s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
Now group them into groups of 4
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
There are 3 groups of 4 so you can write it as [(a^4)]^3 which is a cube
Now do the same thing with groups of 6s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
a^12 = (a^6)^2
So the two answers are
Perfect cube: [(a^4)]^3
Perfect square: (a^6)^2