Find the Standard Form of the Equation of the Hyperbola $y = \pm 5 x$

question 18

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. focies: (±4,0) ,asymptotes: $y = \pm 5 x$

• A) \(\frac { x ^ { 2 } } { \frac { 1 } { 26 } } - \frac { y ^ { 2 } } { \frac { 1 } { 26 } } = 1\)
• B) \(\frac { x ^ { 2 } } { \frac { 8 } { 13 } } - \frac { y ^ { 2 } } { \frac { 200 } { 13 } } = 1\)
• C) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 400 } = 1\)
• E) \(\frac { x ^ { 2 } } { \frac { 200 } { 13 } } - \frac { y ^ { 2 } } { \frac { 8 } { 13 } } = 1\)

Understand the concept and purpose of programming.

Identify and describe the components and steps involved in the Program Development Life Cycle (PDLC).

Recognize the tools and environments used for developing, writing, compiling, and testing programs.

Comprehend the function and significance of algorithms in programming.

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Definitions:

Organic Compounds

Chemical compounds that contain carbon, typically found in living things or derived from living organisms.

Carbon

Carbon is a chemical element with the symbol C and atomic number 6, essential to all known life, forming a vast number of compounds including carbon dioxide and organic materials.

Energy Quality

A measure of an energy source's ability to do useful work; high-quality energy can be converted to work with high efficiency.

Sunlight

is the natural light of the sun, essential for photosynthesis in plants and influencing Earth's climate and weather patterns.