URGENT WILL GIVE BRAINLIEST ANSWER

Mathematics

2 answers:

Fynjy0 [20]3 years ago

3 0

The major axis is 4 units long andyhe vertices are 4 units to the left/right.

Liula [17]3 years ago

3 0

ANSWER

C, D, and E

<u>EXPLANATION</u>

The given ellipse has been translated therefore the center is no longer at the origin.

Option A is not correct.

The major axis is the horizontal axis. Its length is 8 units.

Option B is also not correct.

The vertices are where the major horizontal axis intersected the ellipse. They are indeed 4 units to the right and left of the center.

Option C is correct.

The foci can be found using

${a}^{2} - {b}^{2} = {c}^{2}$

a=4 is the distance from the center to the vertex and b=2 is the distance from the center to the co-vertex.

${4}^{2} - {2}^{2} = {c}^{2}$

$16 - 4 = {c}^{2}$

$12 = {c}^{2}$

$c = \pm \sqrt{12}$

$c = \pm 2\sqrt{3}$

Option D is also correct.

The directrices are parallel to the semi-minor axis therefore they are vertical lines.

Option E is also correct.

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6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?

viktelen [127]

The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.

<h3>How to use inverse proportionality to determine building time of a wall</h3>

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According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:

$x = 24\,days \times \frac{6}{9}$