Question

write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. vertex at (-5,0) and co-vertex at (0,4)

Answer 1

hey Einstein i thought you died in 1955

Answer 2

Rebirth!!

Answer 3

but I need help

Answer 4

lol :D

Answer 5

@kiwi_is_here_to_help can you help me?

Answer 6

@Aiko can you help me

Answer 7

@ali1029

Answer 8

i think it would be x^2/25+y^2/16=1

Answer 9

do you have time to explain? @ali1029

Answer 10

sure :)

Answer 11

the vertex of an ellipse, will be where the MAJOR AXIS is at
the covertex, will be where the MINOR AXIS is at

we know that the center of this ellipse is at the origin

so, what do you think is the "a" component and "b" components?

Answer 12

-5 and 4 @jdoe0001

Answer 13

what about now?

Answer 14

5 and 4 will be our a^2 b^2. when y=0, x=5, x^2/25 + y^2/16 = 1. put the 5 under the x parts, and the 4 under the y parts, since our options for a and b are 5 and 4 ..... and when y=0, x =-5 .... therefore we need a=5 and b=4, the standard setup squares those values into a^2 = 25 and b^2 = 16

Answer 15

the "a" component, is the distance from the center, to the vertex
the "b" component, is the distance from the center, to the covertex

Answer 16

I'm somewhat understanding it though, @jdoe0001 whats your explanation