Write the equation of the ellipse shown in the graph. a.(x+1)^2/4 + (y-2)^2/9=1b.(x+1)^2/9 + (y-2)^2/4=1c.(x-1)^2/4 + (y+2)^2/9=1d.(x-1)^2/9 + (y+2)^2/4=1

A.  

Step-by-step explanation:        

We have been given a graph and we are asked to write an equation for the ellipse shown in the graph.

Since we know that standard equation for ellipse is in form: , where our ellipse is centered at (h,k), whose horizontal radius is a and vertical radius is b.

We can see from our diagram that center of our given ellipse is at point(-1,2)

We can see that our ellipse has a vertical radius of 5-2=3 units. The horizontal radius of our ellipse is units long.  

Now let us substitute our given values in standard ellipse equation to find the correct option.

,

Upon looking at our given options we can see that option A is the correct choice.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi