Let x, y, z ∈ C, the set of complex numbers.
By definition of ○,
(x ○ y) ○ z = (x + y - 2i) ○ z
… = (x + y - 2i) + z - 2i
… = x + y + z - 4i
and
x ○ (y ○ z) = x ○ (y + z - 2i)
… = x + (y + z - 2i) - 2i
… = x + y + z - 4i
so (x ○ y) ○ z = x ○ (y ○ z), which means ○ is indeed associative under C.
Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).
<h3>How to determine the equation of this parabola?</h3>
Mathematically, the standard equation with the vertex for a parabola is given by:
(y - k)² = 4a(x - h) for horizontal parabola.
(x - h)² = 4a(y - k) for vertical parabola.
<u>where:</u>
By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.
<u>Given the following data:</u>
Focus with points = (6, 2).
Vertex (h, k) = (6, –4).
<u>Note:</u> a = 2 - (-4) = 2 + 4 = 6.
Substituting the given parameters into the formula, we have;
(x - 6)² = 4 × 4(y - (-4))
(x - 6)² = 16(y + 4).
Read more on parabola here: brainly.com/question/2346582
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V=PiR^2H/3
Pi = 3.14 (use pi symbol on calculator)
R is the radius if the cones bottom
H is the height of the cone
Answer:
=7x
Now,
Putting the value of x= 5 then we get,
=7×5
=35
Hope this helps u
