Answer:
(-4 , 1)
Step-by-step explanation:
We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:
x = -b/2a
In our case b = 8, a = 1, so:
x = - 8/2 = -4
We plug this value into our original equation and find the y of the vertex:
(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1
Vertex = (-4 ; 1)
Step-by-step explanation:
with reference angle E
perpendicular (p) = e
base(b) = g
hypotenuse (h) = f
so Now
Sin E
= p/h
= e/f
Answer:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Step-by-step explanation:
The volume of a rectangular prism of length L, depth W and height H is
V = L * W * H.
Thus,
in this case,
V = (2x + 1)(x - 2)(3x).
The order in which we multiply these quantities together is immaterial.
Working from left to right, we get:
V = (2x^2 - 3x - 2)(3x), and then:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
