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valentina_108 [34]
3 years ago
10

An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statement

s about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Answer:

The 1st, 3rd and the 4th statements are true.

Step-by-step explanation:

The center of an ellipse may be at any point on the coordinate plane.

So, 'The center is at (-4,2)' statement is true.

If the distance from center to each covertex can not be the same because an ellipse has major and minor axes.

So, 'The distance between the center and each covertex is 3  units' statement is not true.

The two vertices may be at any two points.

So, 'The vertices are at (-7, 1) and (-1, 1)' statement is also true.

The two focuses are at equal distance from the center.

So, 'Each focus is approximately 2.65 units above or below the center' statement is also true.

The directrices are not always horizontal.

So, 'The directrices are horizontal lines approximately 6 units  from the center on the major axis' statement is also not true.

Therefore, the 1st, 3rd, and 4th statements are true. (Answer)

Christianw21
2 years ago
1st 3rd and 5th
Christianw21
2 years ago
oh nevermind
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A taxicab charges $1.75 for the flat fee and $0.25 for each mile. write an inequality to determine how many miles eddie can trav
aev [14]

The correct option is a. $1.75 + $0.25x ≤ $15; x < 53 miles.

The inequality that represents given situation is $1.75 + $0.25x ≤ $15.

<h3>What is inequalities?</h3>

An inequality compares the two values to determine if one is less than, larger than, or simply simply equal to the other.

  • a ≠ b indicates that an is not equal to b.
  • a < b indicates that an is less than b.
  • The expression a > b indicates that an is greater than b. (those two are called as strict inequality)
  • a ≤ b signifies that an is less than or equal to b.
  • The expression a ≥ b denotes that an is greater than or equal to b.

Now for the given question;

A cab charges $1.75 for the flat fee.

And, the cab charges $0.25 for each mile.

Total amount spent by Eddie is 1$15.

So, first and foremost. Because you have to pay the fixed charge and then pay for x miles is $0.25.

Thus, (15-1.75) / 0.25 = 53.

Therefore, the inequalities which describes the given scenario is;

$1.75 + $0.25x ≤ $15

where, x < 53 miles.

To know more about the inequalities, here

brainly.com/question/11613554

#SPJ4

The correct question is-

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles

b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles

c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles

d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles

3 0
1 year ago
Read 2 more answers
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