Thread: math 30 pure help please

can i please get some help in this one. trying to figure it out and i have atest tomm....
Five of the six players on the receiving team must stand in an approximately elliptical arrangement, as shown in the diagram below.
1. If point A is the origin of the coordinate axes, state the standard‑form equation
for this ellipse.
2. If point B is the origin of the coordinate axes, determine the general‑form equation for the ellipsefor

Originally Posted by mathproject

can i please get some help in this one. trying to figure it out and i have atest tomm....
Five of the six players on the receiving team must stand in an approximately elliptical arrangement, as shown in the diagram below.
1. If point A is the origin of the coordinate axes, state the standard‑form equation
for this ellipse.
2. If point B is the origin of the coordinate axes, determine the general‑form equation for the ellipsefor

see post #2 here, under the heading "Ellipse"

of course, you are expected to know what phrases like "major axis", "minor axis" etc mean


if you can find the center and the major and minor axis of the ellipse with respect to A and then B, then you are set

can you continue?

well here is the answer for A. i guess
(x-3)^2/9 + 4(y-9/2)^2/81=1

is it right?
still strugling with the second part B

That is correct for #1.

Where is the center for #2?. It's at (-6,0) is it not?. But the lengths of the axes have not changed.

i try to use(-6,0) but i get stuck wen it comes to 4(y-9/2)^2/81=1 . and then evrything is relly confusing for me. can some1 explain plz

Originally Posted by mathproject

i try to use(-6,0) but i get stuck wen it comes to 4(y-9/2)^2/81=1 . and then evrything is relly confusing for me. can some1 explain plz

if B is the origin, (-6,0) is the center. as before, the major axis is the vertical one, it is of length 9, and the minor axis is of length 6

thus, we have

(h,k) = (-6,0)
a = 9/2
b = 3

now simply plug this into the form as the thread i directed you to directs

we have:

Originally Posted by Jhevon

if B is the origin, (-6,0) is the center. as before, the major axis is the vertical one, it is of length 9, and the minor axis is of length 6

thus, we have

(h,k) = (-6,0)
a = 9/2
b = 3

now simply plug this into the form as the thread i directed you to directs

we have:

ok i expanded the forms 9/2x^2+9y^2+54x+40.5y+12=0

is this correct?

Originally Posted by mathproject

ok i expanded the forms 9/2x^2+9y^2+54x+40.5y+12=0

well i suck at math. i think u should knoe that by now . so is this correct???

no, that's not correct

note that

.........(i multiplied by 9(81))

now i told you how to expand something like already