Write the Equation of the Ellipse That Has Its Center $( 1,0 )$

question 63

Multiple Choice

Write the equation of the ellipse that has its center at the origin, focus at $( 1,0 )$ and $\frac { 7 } { 8 }$ is one-half the length of the minor axis.

• A) \(\quad \frac { 64 x ^ { 2 } } { 113 } + \frac { 64 y ^ { 2 } } { 49 } = 1\)
• B) \(\quad \frac { 64 x ^ { 2 } } { 113 } - \frac { y ^ { 2 } } { 49 } = 1\)
• C) \(\quad \frac { 8 x ^ { 2 } } { 7 } + \frac { 8 y ^ { 2 } } { 15 } = 1\)
• D) \(\frac { x ^ { 2 } } { 113 } + \frac { y ^ { 2 } } { 49 } = 1\)
• E) \(\frac { 64 x ^ { 2 } } { 113 } + \frac { 64 y ^ { 2 } } { 49 } = - 1\)

---

Definitions:

Tracheostomy Tube

A tube inserted through a surgically created hole in the front of the neck and into the trachea to aid in breathing.

Hyperoxygenating

The process of increasing the amount of oxygen in the blood or tissues, often used in medical treatments to enhance oxygenation in patients.

Negative Pressure

A condition in which the pressure in a given environment is lower than the atmospheric pressure, typically used in medical settings to contain airborne contaminants.

Tracheostomy Care

The routine maintenance and care of a tracheostomy site, including cleaning and changing the tube, to ensure the patient's airway remains clear and to prevent infection.