Find an equation of the ellipse having the given points as foci and the given sum of the focal radii
(-9, 0); (9, 0); 30
2007-01-01 12:25:12 · 4 answers · asked by Lawanna D 1 in Science & Mathematics ➔ Mathematics
(x^2 / 225) + (y^2 / 144) = 1
2007-01-01 12:30:02 · answer #1 · answered by wild_turkey_willie 5 · 0⤊ 0⤋
The foci are (+/- ae, 0) and the sum of the focal radii is 2a.
Since the latter is given as 30, we know 2a = 30
Hence a = 15
Now ae = 9, and so
e = 9/15 = 3/5
Also b^2 = a^2 (1 - e^2)
b^2 = 15^2 * 16/25
Hence b = 15 * 4/5 which is equal to 12.
Hence the equation is
(x/15)^2 + (y/12)^2 = 1
2007-01-01 12:39:22 · answer #2 · answered by Hy 7 · 0⤊ 0⤋
integer a million = x integer 2 = x+a million integer 3 = x+2 integer 4 = x+3 integer 5 = x+4 integer 6 = x+5 x+(x+a million)+(x+2)=27 3x+3=27 x+a million=9 x=8 when you consider that x equals 8, you may fantastic integer 4,5, and six by using including 3,4, and 5 to eight. You get 11,12, and 13. hence the sum of the final 3 integers is 36.
2016-12-11 20:41:50 · answer #3 · answered by ? 4 · 0⤊ 0⤋
(x^2/225)+(y^2/144)=1
2007-01-01 12:33:06 · answer #4 · answered by cajazzbat 2 · 0⤊ 0⤋