Identify Arithmetic Mean, Geometric Mean and Harmonic Mean from the following averages: 56.4, 59.8 and 55.8
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= -
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= -
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)