Respuesta :
Answer:
Focus1: (0,3)
Focus2 : (−12,3)
Step-by-step explanation:
Write the problem as a mathematical expression.
64x²+100y²+768x−600y−3196=0
Find the standard form of the ellipse.
(x+6)²/100+(y−3)²/64=1
This is the form of an ellipse. Use this form to determine the values used to find the center along with the major and minor axis of the ellipse.
(x−h)²/a²+(y−k)²/b²=1
Match the values in this ellipse to those of the standard form. The variable a
represents the radius of the major axis of the ellipse, b represents the radius of the minor axis of the ellipse, h represents the x-offset from the origin, and k represents the y-offset from the origin.
a=10
b=8
k=3
h=−6
Find c , the distance from the center to a focus. 6
Find the foci.
Focus1 : (0,3)
Focus2 : (−12,3)
