Answer:
(x +5)²/4 +(y +8)²/36 = 1
Step-by-step explanation:
The equation of an ellipse with center (h, k) and semi-axes "a" and "b" (where "a" is in the x-direction and "b" is in the y-direction) can be written as ...
((x -h)/a)² +((y -k)/b)² = 1
Here, the center is at (h, k) = (-5, -8), and the semi-minor axis is a=2, while the semi-major axis is b=6.
The equation can be written as ...
((x +5)/2)² +((y +8)/6)² = 1
More conventionally, it is written ...
(x +5)²/4 +(y +8)²/36 = 1
Solution
The reflection is a rigid transformation. This does not affect the length of a line segment.
Therefore, the line segments are equal.
Hence, LM = L'M'
Thank you. :)
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
Learn more about the inscribed angle theorem on:
brainly.com/question/3538263
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Simplify
= 6/(gf^4)
hope that helps