-step explanation:25x2+4y2−100x+40y+100=0 FIND the STANDARD form of the ellipse.Tap for more steps...(x−2)24+(y+5)225=1This 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)2b2+(y−k)2a2=1Match 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=5b=2k=−5h=2The center of an ellipse follows the form of (h,k). Substitute in the values of h and k.(2,−5)Find c, the distance from the center to a focus.Tap for more steps...√21Find the vertices.Tap for more steps...Vertex1: (2,0)Vertex2: (2,−10)Find the foci.Tap for more steps...Focus1: (2,−5+√21)Focus2: (2,−5−√21)Find the eccentricity.Tap for more steps...√215These values REPRESENT the important values for graphing and analyzing an ellipse.Center: (2,−5)Vertex1: (2,0)Vertex2: (2,−10)Focus1: (2,−5+√21)Focus2: (2,−5−√21)Eccentricity: √215image of graph