Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18.

3x^2 +6y^2 = 18

Divide each term by 18 to make the right side equal 1:

3x^2/18 + 6y^2/18 = 1

Simplify each term:

x^2/6 + y^2/3 = 1

The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1

Match the values in the ellipse to the standard form:

a = √6

b=√3

k = 0

h = 0

The center = (h,k) = (0,0)

Vertex is h +a, k = (√6,0) and (-√6,0)

Focus is h+c,k = (√3,0) and (-√3,0)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

lol we need to see what the question is asking about

step-by-step explanation: