Solve 1∕4p + 5∕6 = 2∕3 for p.
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is:
Answer:
42.5°
Step-by-step explanation:
Reference angle = θ
Side opposite to θ = 2.7
Hypotenuse = 4
Applying trigonometric ratio, we have:
θ = 42.5° (nearest tenth)
Answer:
option B
Explanation:
<u>Recursive Formula</u>: aₙ = aₙ₋₁ + d
<u>Given Sequence</u>: 7, 4, 1, -2, -5,....
Identify the common difference:
second term - first term
4 - 7 = -<u>3</u> or 1 - 4 = <u>-3</u> or -2 - 1 = <u>-3</u>
<u></u>
So formula:
, where
Find next term: