Answer:

Step-by-step explanation:
Given:
Center of the ellipse is, 
Minor axis length is, 
A vertex of the ellipse is at (1, -3)
Now, distance between the center and the vertex is half of the length of the major axis.
Using distance formula for (-4, -3) and (1, -3), we get:

Therefore, the value of half of major axis is,
. Also,

Now, equation of an ellipse with center
is given as:

Plug in
and determine the equation.

Therefore, the equation of the ellipse is:

Answer:
4
Step-by-step explanation:
Answer:
5.14 ft
Step-by-step explanation:
The perimeter of a circle is diameter X 3.14. since its half a circle, take the radius and multiply by 3.14. Since the radius is 1, the answer is pi itself. Then add 2 feet for the flat side of the semi-circle
Answer: the second option is the correct answer.
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 6
d = 17
n = 18
We want to determine the value of the 18th term, T18. Therefore,
T18 = 6 + 17(18 - 1)
T18 = 6 + 17 × 17
T18 = 6 + 289
T18 = 295