anonymous
  • anonymous
this ellipse is centered at the point (-3, 2). The length of its horizontal axis is 7. What is the ellipse's equation? here's a photo to help http://media.apexlearning.com/Images/200407/21/90f5c30a-7756-4c37-b0ec-105a59946485.gif possible answers either a,b, or c A. (x+3)^2 (y-2)^2 -------- + ------- 7^2 14^2= 1 B.(x+3)^2 (y-2)^2 --------- + ------- = 1 (3.5)^2 17^2 C. (x-6)^2 (y-8)^2 ------- + ------ = 1 (3.5)^2 7^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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whpalmer4
  • whpalmer4
A little bit of logic can be used to eliminate some answer possibilities. Recall that a circle is a special case of an ellipse, much like a square is a special case of a rectangle. The formula for a circle with radius \(r\) centered on \((h,k)\) is \[(x-h)^2+(y-k)^2=r^2\] That immediately rules out C as an answer choice, because the center isn't in the right place.
dumbcow
  • dumbcow
length of horizontal = 2a denominator is a^2
whpalmer4
  • whpalmer4
To figure out which equation might be correct of the other two, why not set \(y=0\) and see what you get for \(x\)? Experimental learning, it's a good thing...

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anonymous
  • anonymous
B is the correct answer
anonymous
  • anonymous
so the answer would be b ,correct?
anonymous
  • anonymous
You need (x+3)^2 because of the X displacement of 3 so that rules out one of the answers, and you need 3.5^2 as that's the radius of one of the axes so that rules out the other possible choice. Test taking 101!

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