Determine the Two Equations Necessary to Graph the Ellipse with a Graphing

question 426

Multiple Choice

Determine the two equations necessary to graph the ellipse with a graphing calculator.
- $$\frac { ( x - 5 ) ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 49 } = 1$$

• A) \(y = \frac { 7 \sqrt { 36 - x ^ { 2 } } } { 6 }\) and \(y = - \frac { 7 \sqrt { 36 - x ^ { 2 } } } { 6 }\)
• B) \(y = \frac { 7 \sqrt { 900 - x ^ { 2 } } } { 6 }\) and \(y = - \frac { 7 \sqrt { 900 - x ^ { 2 } } } { 6 }\)
• C) \(y = \frac { 7 \sqrt { 25 - x ^ { 2 } } } { 6 }\) and \(y = - \frac { 7 \sqrt { 25 - x ^ { 2 } } } { 6 }\)
• D) \(y = \frac { 7 \sqrt { - x ^ { 2 } + 10 x + 11 } } { 6 }\) and \(y = - \frac { 7 \sqrt { - x ^ { 2 } + 10 x + 11 } } { 6 }\)

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Definitions:

Oceanic Plate

A type of tectonic plate that consists mainly of basaltic crust and is denser than continental plates, often subducted under a continental plate at convergent boundaries.

Subducts

Occurs when one tectonic plate moves under another and sinks into the Earth's mantle due to plate tectonic processes.

Subduction Zone

A region at convergent plate boundaries where one tectonic plate moves under another into the mantle, often causing earthquakes and volcanic activity.

Seawater

The saltwater that makes up the oceans and seas covering more than 70% of the Earth's surface, comprising a complex solution of various salts and minerals.