A commercial artist plans to include an ellipse in a design and wants the length of the horizontal axis to equal 10 and the length of the vertical axis to equal 6, Which equation could represent this ellipse?
a. 9x^2 + 25y^2 =225
b. 9x^2 - 25y^2 =225
c. x^2 + y^2= 100
d. 3y = 20x
2007-03-08 16:45:32 · 6 answers · asked by geebgeebgeeb 1 in Science & Mathematics ➔ Mathematics
a) is the only ellipse amongst the options.
b is a hyperbola, c is a circle and d is a straight line!
2007-03-08 16:53:30 · answer #1 · answered by Shrey G 3 · 1⤊ 0⤋
a. 9x² + 25y² = 225
Divide by 225.
x²/25 + y²/9 = 1
a = â25 = 5
b = â9 = 3
Horizontal axis = 2a = 2*5 = 10
Vertical axis = 2b = 2*3 = 6
______________
But this one was easy. Choice a is the only ellipse.
b is a hyperbola
c is a circle
(actually this is a special case of an ellipse where a = b)
d is a straight line.
2007-03-09 00:53:34 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
The answer is most definitely "a." As stated before, it is the only ellipse out of the four choices.
2007-03-09 01:02:14 · answer #3 · answered by yodeling_joe 1 · 0⤊ 0⤋
a. 9x² + 25y² =225
2007-03-09 00:51:23 · answer #4 · answered by aeiou 7 · 0⤊ 0⤋
the answer is a obviously.
Because genereal equation of ellibse is:-
x^2/a + y^2/b = 1 ...................(i)
by dividing (a) by 225 it becomes,
x^2/(225/9) + y^2/9 = 1
which is similar to (i)
hence it is ellipse.
2007-03-09 01:00:56 · answer #5 · answered by Tarun J 2 · 0⤊ 0⤋
I respectfully disagree with the first answerer. "a" is the ellipse, b is a hyperbola, c is a circle and d is a line.
2007-03-09 00:54:22 · answer #6 · answered by cattbarf 7 · 0⤊ 1⤋