Question

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You are building a wading pool that is in the shape of an ellipse. Your plans give an equation for x2y2 the elliptical shape of the pool measured in feet as + = 1. Find the longest distance 81225 across the pool, the shortest distance, and the distance between the foci

Answer 1

Civen: Ellipse en: 225 + y2 1 (912 (15) (152 compare with standard er of ellipse- (x - 42 a 2 z + (yak)? h=0 , b= 0 a=9 , b = 15 man PT. center, Chix) =(0,0)

So, the length of major axis a longest distance across the pool a longest distance across the pool = 2b = 2x15 = 30 b. smallest distance across the pool = length of minor axis. 20 = 2x9

distance blw foci co m o c²= 6²_a² c=56²-a2 225-a1 = 1144 (c = 12 ] : distance bio To ci

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