Arectangular board is 18 feet by 24 feet. how far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board? a. 7.94 ft b. 4.06 ft c. 15 ft d. 15.9 ft

x = 24
y = 18
Length of Major Axis = a
Length of Minor Axis = b

Center (0, 0):

h = 0
k = 0

a = 1/2 x
a = 1/2 *(24)
a = 12
b = 1/2 y
b =1/2 (18)
b = 9
So, Equation of Ellipse:

General : (x - h)² / a² + (y - k)² / b² = 1

(x - 0)² / (12)² + (y - 0)² / (9)² = 1

x² / 144 + y² / 81 = 1

Focus = c:
        
c = √a² - b²
        
c = √(12)² - (9)²
        
c = √144 - 81 = sqrt63 = 7.9372

Focus : ( -7.9372, 0) and ( 7.9372, 0)

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: