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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36450
Step-by-step explanation:
6(9)(3(9) -2)
54(27-2)
1458(25)
36450
Answer:
V≈2010.62
Step-by-step explanation:
The volume of a cylinder is V=πr^2h so plug in 8 for r and 10 for h
Answer:
Explained below.
Step-by-step explanation:
Denote the events as follows:
<em>C</em> = chess
<em>V</em> = volleyball
<em>B</em> = basketball
The data provided is as follows:
n (C) = 30
n (V) = 19
n (B) = 25
n (C ∩ V) = 14
n (B ∩ V) = 8
n (B ∩ C) = 15
n (C ∩ V ∩ B) = 5
Consider the Venn diagram below.
The number of students who played only chess is marked in pink:
n (Only C) = 6
The number of students who played only volleyball is marked in blue:
n (Only V) = 2
The number of students who played only basketball is marked in orange:
n (Only B) = 7
The number of students who played all three is marked in grey:
n (C ∩ V ∩ B) = 5
