Question

Identify the type of conic section that has the equation 9x^2+ 16y^2 = 144 and identify its domain and range.

Answer 1

B ) ellipse.Domain: { -4 ≤ x ≤ 4 }Range: { -3 ≤ y ≤ 3 }

posted whole test on jiskha under RandomSophomore

Answer 2

To answer the question above, I'll make a step by step procedure below.

9x2/144 + 16y2/144 = 144/144

Then Simplify,

x2/16 + y2/9 = 1

The major axis is the x-axis because the largest denominator is under the x2 term.

The coordinates of the vertices are as follows ...

(±a,0)
(0,±b)

a2 =1 6→a = 4
b2 = 4→b = 2

So the answer to your question are

(±4,0)
(0,±2)

i hope I helped you with your problem