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Mathematics 19 Online
rootbeer003:

help

rootbeer003:

1 attachment
satellite73:

much easier center is \((3,-5)\)

rootbeer003:

give me steps

satellite73:

standard form is \[\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\] for an ellipse with center \((h,k)\) in this example \(h=3,k=-5\)

satellite73:

here \(a^2=64\) so \(a=8\) and \(b^2=100\) so \(b=10\) because the larger number is under the \(y\) term the ellipse look like |dw:1497322441385:dw|

rootbeer003:

do i put that..

satellite73:

since \(b=10\) the length of the major axis is \(20\) and since \(a=8\) the length of the minor axis is \(16\)

satellite73:

yes you can put that if you want you need to to know what the graph looks like i guess the last step is graphing

satellite73:

your graph should look like this http://www.wolframalpha.com/input/?i=ellipse+(x-3)%5E2%2F64%2B(y%2B5)%5E2%2F100%3D1

satellite73:

label the center \((3,-5)\) and also label the vertices

rootbeer003:

tf

rootbeer003:

do just draw and egg and put 3,-5 in the middle

satellite73:

pretty much, yes

rootbeer003:

so no graph?

satellite73:

you mean graph paper?

rootbeer003:

um

satellite73:

here is what it looks like with a coordinate axis

rootbeer003:

1 attachment
satellite73:

yikes

satellite73:

don't you have any graphing tools?

rootbeer003:

scuse me. Its beautiful

satellite73:

|dw:1497322913522:dw|

satellite73:

whatever floats your boat

satellite73:

you could also label the vertices, but maybe you should just leave it alone

rootbeer003:

lol whats that

rootbeer003:

1 attachment
satellite73:

|dw:1497323049479:dw|

rootbeer003:

switch?

satellite73:

no what you have is good

rootbeer003:

i add that?

satellite73:

except the "since b =... " part should come under "it looks like this, not this"

rootbeer003:

what

satellite73:

what what? because the larger number is under the y terms it looks |dw:1497323365362:dw| is one part it should be together, not separated by "since a^2=64, a=8..."

rootbeer003:

1 attachment
rootbeer003:

next

rootbeer003:

1 attachment
satellite73:

center is \((6,0)\) just like the case of the ellipse

rootbeer003:

ok steps yall

rootbeer003:

put in order plz

satellite73:

like before standard form of hyperbola with center \((h,k)\) is \[\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\] in this case \(h=6,k=0\) so center is \((6,0)\)

rootbeer003:

thats all

satellite73:

for part a, yes

satellite73:

here \(a^2=25\) so \(a=5\) length of the transverse axis is \(2\times 5=10\) \(b^2=144\) so \(b=12\) length of conjugate axis is \(2\times 12=24\)

rootbeer003:

thats b?

satellite73:

asymptotes have slopes \[\pm\frac{a}{b}\] so slopes are \[\pm\frac{5}{12}\]

satellite73:

yes, that was b

satellite73:

and your graph should look something like this http://www.wolframalpha.com/input/?i=hyperbola+y%5E2%2F25-(x-6)%5E2%2F144%3D1

satellite73:

or this if you want to include a coordinate axis http://www.wolframalpha.com/input/?i=y%5E2%2F25-(x-6)%5E2%2F144%3D1

rootbeer003:

wanna do it cuz we all know mine will like like a kid on meth drew it

satellite73:

|dw:1497324265444:dw|

satellite73:

not that great but best i can do

rootbeer003:

1 attachment
satellite73:

ok but slopes should be \(\pm\frac{5}{12}\) not 512

rootbeer003:

lol

satellite73:

now it is my bed time

rootbeer003:

ok looks good?tho ?

satellite73:

yes, looks decent

rootbeer003:

Hey can u get on tmr same time, also sometimes my questioncove website doesnt work so plz go on peeranswers and see if im on there, if im not here

satellite73:

i will try

satellite73:

what is "same time"? like tonight? 9 ish for me

rootbeer003:

what time is it rn

satellite73:

11:30

rootbeer003:

its 8:30

satellite73:

in hawaii maybe

rootbeer003:

so 6 for me

satellite73:

ok do you go to school during the day?

rootbeer003:

nop nothing this week

rootbeer003:

kk ttyl

satellite73:

what do you do all day?

satellite73:

k bye

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