Answer:
The expression of the ellipse is: 
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:

Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:

The length of the major axis is the distance between the two vertices.
![2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2](https://tex.z-dn.net/?f=2a%20%3D%20%5Csqrt%7B%5B2%20-%20%28-2%29%5D%5E2%7D%5C%5C2a%20%3D%20%5Csqrt%7B%282%20%2B%202%29%5E2%7D%5C%5C2a%20%3D%20%5Csqrt%7B4%5E2%7D%5C%5C2a%20%3D%204%5C%5Ca%20%3D%202)
Therefore the expression of the ellipse is:

D (the last option)
x 2 -2 4 -4
y 8 8 12 12
because the x values should not repeat for the y values.
Answer:
7=X+Y there are 4 adults and 3 children
Step-by-step explanation:
Never
perfect squre trinomial is in form
(a+b)(a+b) or (a-b)(a-b)
that is not equal to (a+b)(a-b)
never
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 16 ( subtract x from both sides )
2y = - x - 16 ( divide all terms by 2 )
y = -
x - 8 ← in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 2