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xeze [42]
3 years ago
5

Find the measure of ∠COB in the figure. answers: A) 24° B) 48° C) 72° D) 132°

Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer: 48

Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.

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zane and shelby's grandfather is 5 times as old as the total of their ages. If their grandfather is 70 and Shelby is 6, how many
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The equation for the ellipse given is 4x^2+9y^2-16x+18y-11​
natita [175]

Answer:

a. a = 3, b = 2

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c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

\dfrac{(x - h)^2}{a^2}  + \dfrac{(y - k)^2}{b^2} = 1

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) =  25 + 11 = 36

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c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

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