Can someone check my answers for two questions?
1. The equation that models Earth's elliptical orbit around the sun is (x+2.5)^2/22,350.25 + y^2/22,344 = 1 in millions of kilometers. If the sun is located at one focus and its coordinates are (0,0), find Earth's farthest distance from the sun in millions of kilometers.
a. 152.00 million km
b. 304.00 million km
c. 147.00 million km
d. 294.00 million km (My Choice)
2. A parabolic microphone used on the sidelines of a football game uses a reflective dish 20 in. wide and 5 in. deep. How far from the bottom of the dish should the ....

Question

Can someone check my answers for two questions?
1. The equation that models Earth's elliptical orbit around the sun is (x+2.5)^2/22,350.25 + y^2/22,344 = 1 in millions of kilometers.  If the sun is located at one focus and its coordinates are (0,0), find Earth's farthest distance from the sun in millions of kilometers.
a. 152.00 million km
b. 304.00 million km
c. 147.00 million km 
d. 294.00 million km (My Choice)
2. A parabolic microphone used on the sidelines of a football game uses a reflective dish 20 in. wide and 5 in. deep.  How far from the bottom of the dish should the ....

jadareese_18 · Answer

microphone be placed? 
A. 4 in
B. 4.6 in. (My choice)
C. 4.8 in.
D. 5 in.

welshfella · Answer

2. It should be at the focus of the parabola.

welshfella · Answer

x^2 = 4ay  is the equation of the parabola  where (0,a) is the focus, and 
when x = 10 y = 5
so plug these vaues in and calculate  a.

jadareese_18 · Answer

a=5 @welshfella so the answer would be D instead, correct?

welshfella · Answer

Yes

welshfella · Answer

I'm afraid I cant recall much about the geometric properties of an ellipse.  I suggest you google that. Purple math or Khan academy are pretty good sources.

jadareese_18 · Answer

Okay, thanks!  Could you help me with a problem involving completing the square? @welshfella

welshfella · Answer

yes OK 
plz post separately