Answer:
The equation of a vertical ellipse is
Step-by-step explanation:
Here, given:
Length of major axis: 20
⇒ 2 a = 20 , or , a = 10
Length of minor axis: 12
⇒ 2 b = 12 , or , b = 6
Also, center (h,k) = (6,3)
Now, STANDARD EQUATION OF ELLIPSE :
Now, substituting the values, a, b , h and k in above expression, we get:
or,
Hence, the equation of a vertical ellipse is
Answer:
The system is inconsistent.
Step-by-step explanation:
The system is
The associated matrix to the system is
Now we use row operations to find the echelon form of the matrix:
1. We substract to row 2, two times the row 1.
We substract to row 3, three times the row 1.
We substract to row 4, four times the row 1 and obtain the matrix
2. We multiply the second row of the preview step by -1/4. We obtain the matrix
3.
We add to row 3, eight times the row 2.
We add to row 4, fourtheen times the row 2 and obtain the matrix
4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix
Using backward substitution we have that
, then
and this is absurd. Then The system is inconsistent.