Question

medals!! help with a couple math problems

Answer 1

Find the center, vertices, and foci of the ellipse with equation 5x^2 + 9y^2 = 45.

Answer 2

Center would be (0,0)

Answer 3

@ganeshie8

Answer 4

vertices would be (0, -3), (0, -3)?

Answer 5

not sure yet, first rewrite in standard form :
\[\large \dfrac{x^2}{a^2} + \dfrac{y^2}{b^2}= 1\]

Answer 6

to get into standard form, simply divide 45 both sides

Answer 7

5x^2/45+9y^2/45 = 1

Answer 8

yes! simplify the fractions

Answer 9

x^2/9+ x^2/5 = 1

Answer 10

\[\large \dfrac{x^2}{9} + \dfrac{y^2}{5}= 1\]

Answer 11

since the number below x is greater than the number below y,
this is a horizontal ellipse, right ?

Answer 12

yesss

Answer 13

that means vertices will be on x axis, yes ?

Answer 14

yes

Answer 15

good :)
from the equation, we have \(a = 3\)
can u write the coordinates of vertices ?

Answer 16

(-3, 0), (3, 0)

Answer 17

Correct !

Answer 18

and the foci would be(-2, 0), (2, 0) (:

Answer 19

thats right ! good job !!