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Mathematics 9 Online
OpenStudy (anonymous):

help me plz

OpenStudy (anonymous):

OpenStudy (anonymous):

@Directrix

OpenStudy (anonymous):

brb in 20

OpenStudy (anonymous):

im back

Nnesha (nnesha):

first of all you should know is it horizontal or vertical a always greater than b `a>b` if a is under the x variable then it would be `horizontal equation` \[\rm \frac{ (x-h)^2 }{\color{ReD}{ a^2} }+ \frac{ (y-k)^2 }{ b^2 }=1\] if a is under the y variable then it would be `vertical equation` \[\rm \frac{ (x-h)^2 }{ b^2 }+ \frac{ (y-k)^2 }{\color{reD}{ a^2} }=1\]

Nnesha (nnesha):

so is it vertical or horizontal ?

OpenStudy (anonymous):

i think its vertical

Nnesha (nnesha):

foci for horizontal \[\large\rm (h, k \pm c)\] and for vertical equation \[\large\rm (h \pm c , k)\] use the equation to find c \[\huge\rm c^2 =a^2-b^2\]

OpenStudy (anonymous):

ok so which one do i use

Nnesha (nnesha):

well a is bigger number which is under the x variable so is it vertical or horizontal ?

Nnesha (nnesha):

read my first comment :=)

OpenStudy (anonymous):

so it is horizontal right

Nnesha (nnesha):

yes right \[\huge\rm \frac{ x^2 }{ \color{ReD}{36} } +\frac{ y^2 }{ 11 }=1\] now use the equation posted above to find c

Nnesha (nnesha):

c^2=a^2-b^2 this one

OpenStudy (anonymous):

wait what

Nnesha (nnesha):

foci for horizontal \[\large\rm (h, k \pm c)\] and for vertical equation \[\large\rm (h \pm c , k)\] those two are foci pair we need so use this equation to find c \[\huge\rm c^2 =a^2-b^2\]

Nnesha (nnesha):

a^2 and b^2 are in the given equation

OpenStudy (anonymous):

wow ok so umm can you start me off plz

Nnesha (nnesha):

`horizontal equation` for ellipse \[\rm \frac{ (x-h)^2 }{\color{ReD}{ a^2} }+ \frac{ (y-k)^2 }{ b^2 }=1\] the number at the denominator are a^2 and b^2 and like i said bigger number equal to a^2

Nnesha (nnesha):

what two numbers are replaced with a^2 and b^2 in this equation \[\huge\rm \frac{ x^2 }{ \color{ReD}{36} } +\frac{ y^2 }{ 11 }=1\] ??

OpenStudy (anonymous):

brb i gtg cook dinner

OpenStudy (anonymous):

36 and 11

Nnesha (nnesha):

right which one is a^2 and which one is b^2 ?

OpenStudy (anonymous):

a^2 is 36 b^2 is 11

OpenStudy (anonymous):

@IrishBoy123

OpenStudy (anonymous):

{ (x-h)^2 }{36} }+/{ (y-k)^2 }{11}=1 is this the correct formula

OpenStudy (irishboy123):

this ellipse is centred on the origin yep?

OpenStudy (anonymous):

yep

OpenStudy (irishboy123):

|dw:1444085734817:dw|

OpenStudy (anonymous):

yep

OpenStudy (irishboy123):

Para-phrasing Wiki: The distance from the origin O to either focus is f where: \[f = \sqrt{a^2-b^2}.\]

OpenStudy (anonymous):

ok she gave me a diffrent formula soo what do i do im so confused now

OpenStudy (irishboy123):

here, what is a and what is b? general equation for ellipse centred on Origin is: \(\large \frac{{x}^2}{{a}^2} + \frac{{y}^2}{{b}^2} = 1\)

OpenStudy (irishboy123):

a = ?? b = ??

OpenStudy (irishboy123):

then |dw:1444086259207:dw|

OpenStudy (anonymous):

(x-h)^2 }{36} }+/{ (y-k)^2 }{11}= ok so i got this

OpenStudy (irishboy123):

so that means you have finished it?!

OpenStudy (anonymous):

no i have not thats the first equation

OpenStudy (anonymous):

(y-k)^2 {11} this is my answer

OpenStudy (irishboy123):

OK for an equation centred on O, we have general equation: \[\large \frac{{x}^2}{{a}^2} + \frac{{y}^2}{{b}^2} = 1\] The focii are at a distance f from O, where \[f = \sqrt{a^2-b^2}\] |dw:1444086808815:dw|

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