Answer:False
Step-by-step explanation:
Hello :
cos(3<span>θ) = -1
</span>cos(3θ) = cos(<span>π)
</span>general solution in : R is
3θ = (2k+1)π k in Z
θ = (2k+1)π/3
if θ in <span> [0 , 2</span>π] the solutions are :
k=0 : x = π/3
k=1 : x = π
k=2 : x = 5π/3
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) =
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
They are because if two angles that have a side of one triangle that is congruent to the corresponding parts of another triangle, the triangles are congruent to the corresponding altitudes in triangles.
Answer:
-1.
Step-by-step explanation:
1/m = m^-1.
We can show this is correct if we simplify the following:
m^2 / m ^3 = m * m / m * m* m = 1/m
By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.